Publications (952)2393.62 Total impact
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ABSTRACT: Allostery through DNA is increasingly recognized as an important modulator of DNA functions. Here, we show that the coalescence of proteininduced DNA bubbles can mediate allosteric interactions that drive protein aggregation. We propose that such allostery may regulate DNA's flexibility and the assembly of the transcription machinery. Mitochondrial transcription factor A (TFAM), a dualfunction protein involved in mitochondrial DNA (mtDNA) packaging and transcription initiation, is an ideal candidate to test such a hypothesis owing to its ability to locally unwind the double helix. Numerical simulations demonstrate that the coalescence of TFAMinduced bubbles can explain experimentally observed TFAM oligomerization. The resulting melted DNA segment, approximately 10 base pairs long, around the joints of the oligomers act as flexible hinges, which explains the efficiency of TFAM in compacting DNA. Since mitochondrial polymerase (mitoRNAP) is involved in melting the transcription bubble, TFAM may use the same allosteric interaction to both recruit mitoRNAP and initiate transcription.Scientific Reports 03/2015; 5. DOI:10.1038/srep09037 · 5.58 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: A stability criterion for solitons of the driven nonlinear Schr\"odinger equation (NLSE) has been conjectured. The criterion states that ${p}^{$'${}}(v)<0$ is a sufficient condition for instability, while ${p}^{$'${}}(v)>0$ is a necessary condition for stability; here, $v$ is the soliton velocity and $p=P/N$, where $P$ and $N$ are the soliton momentum and norm, respectively. To date, the curve $p(v)$ was calculated approximately by a collective coordinate theory, and the criterion was confirmed by simulations. The goal of this paper is to calculate $p(v)$ exactly for several classes and cases of the generalized NLSE: a soliton moving in a real potential, in particular a timedependent ramp potential, and a timedependent confining quadratic potential, where the nonlinearity in the NLSE also has a timedependent coefficient. Moreover, we investigate a logarithmic and a cubic NLSE with a timeindependent quadratic potential well. In the latter case, there is a bisoliton solution that consists of two solitons with asymmetric shapes, forming a bound state in which the shapes and the separation distance oscillate. Finally, we consider a cubic NLSE with parametric driving. In all cases, the $p(v)$ curve is calculated either analytically or numerically, and the stability criterion is confirmed.Physical Review E 01/2015; 91(1). DOI:10.1103/PhysRevE.91.012905 · 2.33 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: A stability criterion for solitons of the driven nonlinear Schrödinger equation (NLSE) has been conjectured. The criterion states that p^{'}(v)<0 is a sufficient condition for instability, while p^{'}(v)>0 is a necessary condition for stability; here, v is the soliton velocity and p=P/N, where P and N are the soliton momentum and norm, respectively. To date, the curve p(v) was calculated approximately by a collective coordinate theory, and the criterion was confirmed by simulations. The goal of this paper is to calculate p(v) exactly for several classes and cases of the generalized NLSE: a soliton moving in a real potential, in particular a timedependent ramp potential, and a timedependent confining quadratic potential, where the nonlinearity in the NLSE also has a timedependent coefficient. Moreover, we investigate a logarithmic and a cubic NLSE with a timeindependent quadratic potential well. In the latter case, there is a bisoliton solution that consists of two solitons with asymmetric shapes, forming a bound state in which the shapes and the separation distance oscillate. Finally, we consider a cubic NLSE with parametric driving. In all cases, the p(v) curve is calculated either analytically or numerically, and the stability criterion is confirmed.  [Show abstract] [Hide abstract]
ABSTRACT: We consider a twodimensional (2D) generalization of a recently proposed model [Phys. Rev. E 88, 032905 (2013)], which gives rise to bright discrete solitons supported by the defocusing nonlinearity whose local strength grows from the center to the periphery. We explore the 2D model starting from the anticontinuum (AC) limit of vanishing coupling. In this limit, we can construct a wide variety of solutions including not only singlesite excitations, but also dipole and quadrupole ones. Additionally, two separate families of solutions are explored: the usual "extended" unstaggered bright solitons, in which all sites are excited in the AC limit, with the same sign across the lattice (they represent the most robust states supported by the lattice, their 1D counterparts being what was considered as 1D bright solitons in the abovementioned work), and the vortex cross, which is specific to the 2D setting. For all the existing states, we explore their stability (analytically, whenever possible). Typical scenarios of instability development are exhibited through direct simulations.Physical Review E 12/2014; 91(4). DOI:10.1103/PhysRevE.91.043201 · 2.33 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Schizophrenia (SZ) genomewide association studies (GWASs) have identified common risk variants in >100 susceptibility loci; however, the contribution of rare variants at these loci remains largely unexplored. One of the strongly associated loci spans MIR137 (miR137) and MIR2682 (miR2682), two microRNA genes important for neuronal function. We sequenced ∼6.9 kb MIR137/MIR2682 and upstream regulatory sequences in 2,610 SZ cases and 2,611 controls of European ancestry. We identified 133 rare variants with minor allele frequency (MAF) <0.5%. The rare variant burden in promoters and enhancers, but not insulators, was associated with SZ (p = 0.021 for MAF < 0.5%, p = 0.003 for MAF < 0.1%). A rare enhancer SNP, 1:g.98515539A>T, presented exclusively in 11 SZ cases (nominal p = 4.8 × 10(4)). We further identified its risk allele T in 2 of 2,434 additional SZ cases, 11 of 4,339 bipolar (BP) cases, and 3 of 3,572 SZ/BP study controls and 1,688 population controls; yielding combined p values of 0.0007, 0.0013, and 0.0001 for SZ, BP, and SZ/BP, respectively. The risk allele T of 1:g.98515539A>T reduced enhancer activity of its flanking sequence by >50% in human neuroblastoma cells, predicting lower expression of MIR137/MIR2682. Both empirical and computational analyses showed weaker transcription factor (YY1) binding by the risk allele. Chromatin conformation capture (3C) assay further indicated that 1:g.98515539A>T influenced MIR137/MIR2682, but not the nearby DPYD or LOC729987. Our results suggest that rare noncoding risk variants are associated with SZ and BP at MIR137/MIR2682 locus, with risk alleles decreasing MIR137/MIR2682 expression. Copyright © 2014 The American Society of Human Genetics. Published by Elsevier Inc. All rights reserved.The American Journal of Human Genetics 11/2014; 95(6). DOI:10.1016/j.ajhg.2014.11.001 · 10.99 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We show that a mesoscale model, with a minimal number of parameters, can describe well the thermomechanical and mechanochemical behavior of homogeneous DNA at thermal equilibrium under tension and torque. We predict critical temperatures for denaturation under torque and stretch, phase diagrams for stable DNA, probe/response profiles under mechanical loads, and the density of dsDNA as a function of stretch and twist. We find strong agreement with available single molecule manipulation experiments.The Journal of Chemical Physics 06/2014; 141(11). DOI:10.1063/1.4895724 · 3.12 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: The inverse square potential arises in a variety of different quantum phenomena, yet notoriously it must be handled with care: it suffers from pathologies rooted in the mathematical foundations of quantum mechanics. We show that its recently studied conformality breaking corresponds to an infinitely smooth windingunwinding topological transition for the classical statistical mechanics of a onedimensional system: this describes the tangling or untangling of floppy polymers under a biasing torque. When the ratio between torque and temperature exceeds a critical value the polymer undergoes tangled oscillations, with an extensive winding number. At lower torque or higher temperature the winding number per unit length is zero. Approaching criticality, the correlation length of the order parameterthe extensive winding numberfollows a KosterlitzThoulesstype law. The model is described by the Wilson line of a (0+1) U(1) gauge theory, and applies to the tangling or untangling of floppy polymers and to the winding or diffusing kinetics in diffusionconvection reactions.Physical Review Letters 02/2014; 112(7):070401. DOI:10.1103/PhysRevLett.112.070401 · 7.51 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: A nonHermitian quantum optimization algorithm is created and used to find the ground state of an antiferromagnetic Ising chain. We demonstrate analytically and numerically (for up to N=1024 spins) that our approach leads to a significant reduction of the annealing time that is proportional to $\ln N$, which is much less than the time (proportional to $N^2$) required for the quantum annealing based on the corresponding Hermitian algorithm. We propose to use this approach to achieve similar speedup for NPcomplete problems by using classical computers in combination with quantum algorithms.Quantum Information Processing 02/2014; 13:371–389. DOI:10.1007/s111280130656z · 2.96 Impact Factor 
Article: Role of complex energy landscapes and strains in multiscale inhomogeneities in perovskite manganites
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ABSTRACT: We analyze the essential role played by complex energy landscapes in the nanometer to micronscale inhomogeneities observed in perovskite manganites using a model expressed in terms of symmetrized atomicscale lattice distortion modes. We also examine the stability of large metal and insulator domains in the absence of defects. Our results demonstrate that an intrinsic mechanism, which involves longrange interactions between strain fields, the PeierlsNabarro energy barrier, and complex energy landscapes with multiple metastable states, rather than an extrinsic mechanism such as chemical randomness, is responsible for the inhomogeneity in perovskite manganites.Physical Review B 10/2013; 88(14). DOI:10.1103/PhysRevB.88.144415 · 3.74 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We study the stable states of the wave equation with dspatial and 1time dimensions and with spacetime periodic potential. The dispersed stable states spectrum of such periodic wave equation is due to the incommensurability of the speed of light and the ratio of space and time periods. A BlochFloquet analysis leads to a cube as a reduced Brillouin zone, but because of the speed incommensurability the stable states in this cube may form a spectrum of sets with a reduced dimensionality. For electromagnetic waves in photonic crystals the medium may amplify some waves with lengths fitting the crystal lattice. The energy from the external field can be pumped to the waves via the dipole moment oscillations.EPL (Europhysics Letters) 09/2013; 103(5):50001. DOI:10.1209/02955075/103/50001 · 2.27 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Xray pair distribution function (pdf) and U L 3 extended xray absorption fine structure (EXAFS) and neutron pdf measurements that give identical results for UO 2 show U(VI)oxo moieties with x rays for mixed valence U 4 O 9 and U 3 O 7 , in contrast to the neutron data that indicate only U(V) sites with no short UO bonds as well as other differences. In addition, although the EXAFS spectra of UO 2 are essentially identical at 30, 100, and 200 K, those of the UO 2+x compounds exhibit different nearestneighbor UO distributions at each temperature. Further tunneling polarontype behavior is found in the broadening of the features of the O Kedge xray absorption spectra (XAS) of the UO 2+x compounds. Raman spectra of powders also show a large increase in scattering cross section with increasing O content that would originate in a change in the electronic structure that increases the overall polarizability. The XAS and Raman also show that U 4 O 9 does not behave as a linear combination of the UO 2 and U 3 O 7 fluorite endpoints. The properties induced by mobile rather than static charged quasiparticles were explored by optical pumping of the metaltometal chargetransfer transition. The temperature dependence of 4.71 eV pump–1.57 eV probe reflectivity on UO 2 that initially populates the U 6ddominated portion of the upper Hubbard band (UHB) shows a sharp 28μsec lifetime peak at 25 K that may be associated with the fluctuations of its antiferromagnetic transition. Pumping at 3.14 eV into the 5f dominated portion of the UHB shows an analogous 2.8μsec peak but also a plateau bracketing this peak that ends in a cusp at 50–60 K and an abrupt change in the hardening rate of a novel 12–15 GHz phonon that is the signature for the quasiparticle quantum phase. The different results for the different excitation channels indicate a highly specific nonthermal relaxation mechanism. These results constitute the first observation of a distinct phase of photoinduced quasiparticles that is sufficiently coupled to the lattice to undergo a gapopening transition. When the intragap state is probed with a terahertz time domain spectroscopy (TTDS) measurement 33 psec after a 3.14 excitation pulse, it shows increased absorption in the 0.5–1.1 THz range with a decrease in temperature from ∼30 to 10 K instead of the expected decrease, a result consistent with the presence of a condensate. These results are too extreme to originate in the dynamical, nonadiabatic, coupled chargetransfer–phonon/tunneling polaron scenario previously used for doped MottHubbard insulators with intermediate electronphonon coupling and therefore indicate novel physics. One possibility that could cause all of these behaviors is that a collective, dynamical, charge transfercoupled Peierls distortion involving the 2 U(V) ↔ U(IV) + U(VI)oxo excitation occurs coherently over an entire domain to cause the atoms in this domain to condense into a system with BoseEinstein or BoseEinsteinHubbard properties.Physical Review B 09/2013; 88(11):115135. DOI:10.1103/PhysRevB.88.115135 · 3.74 Impact Factor 
Article: Static and dynamic phases for magnetic vortex matter with attractive and repulsive interactions.
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ABSTRACT: Exotic vortex states with long range attraction and short range repulsion have recently been proposed to arise in certain superconducting hybrid structures such as typeI/typeII layered systems as well as multiband superconductors. In previous work it has been shown that such systems can form clump or phase separated states, but little is known about how they behave in the presence of pinning and under an applied drive. Using large scale simulations we examine the static and dynamic properties of such vortex states interacting with random and periodic pinning. In the absence of pinning this system does not form patterns but instead undergoes complete phase separation. When pinning is present there is a transition from inhomogeneous to homogeneous vortex configurations similar to a wetting phenomenon. Under an applied drive, a dynamical dewetting process can occur from a strongly pinned homogeneous state into pattern forming states, such as moving stripes that are aligned with the direction of drive or moving labyrinth or clump phases. We show that a signature of the exotic vortex interactions observable with transport measurements is a robust double peak feature in the differential resistance curves. Our results should be valuable for determining whether such vortex interactions are occurring in these systems and also for addressing the general problem of systems with competing interactions in the presence of random and periodic pinning.Journal of Physics Condensed Matter 08/2013; 25(34):345703. DOI:10.1088/09538984/25/34/345703 · 2.35 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Sparse matrixvector multiplication (spMVM) is the most timeconsuming kernel in many numerical algorithms and has been studied extensively on all modern processor and accelerator architectures. However, the optimal sparse matrix data storage format is highly hardwarespecific, which could become an obstacle when using heterogeneous systems. Also, it is as yet unclear how the wide single instruction multiple data (SIMD) units in current multi and manycore processors should be used most efficiently if there is no structure in the sparsity pattern of the matrix. We suggest SELLCsigma, a variant of Sliced ELLPACK, as a SIMDfriendly data format which combines longstanding ideas from General Purpose Graphics Processing Units (GPGPUs) and vector computer programming. We discuss the advantages of SELLCsigma compared to established formats like Compressed Row Storage (CRS) and ELLPACK, and show its suitability on a variety of hardware platforms (Intel Sandy Bridge, Intel Xeon Phi and Nvidia Tesla K20) for a wide range of test matrices from different application areas. Using appropriate performance models we develop deep insight into the data transfer properties of the SELLCsigma spMVM kernel. SELLCsigma comes with two tuning parameters whose performance impact across the range of test matrices is studied and for which reasonable choices are proposed. This leads to a hardwareindependent ("catchall") sparse matrix format, which achieves very high efficiency for all test matrices across all hardware platforms.SIAM Journal on Scientific Computing 07/2013; 36(5). DOI:10.1137/130930352 · 1.94 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We study the RKKY interaction in nonFermiliquid metals. We find that the RKKY interaction mediated by some nonFermiliquid metals can be of much longer range than for a Fermi liquid. The oscillatory nature of the RKKY interaction thus becomes more important in such nonFermi liquids, and gives rise to enhanced frustration when the spins form a lattice. Frustration suppresses the magnetic ordering temperature of the lattice spin system. Furthermore, we find that the spin system with a longer range RKKY interaction can be described by the Brazovskii model, where the ordering wave vector lies on a higher dimensional manifold. Strong fluctuations in such a model lead to a firstorder phase transition and/or glassy phase. This may explain some recent experiments where glassy behavior was observed in stoichiometric heavy fermion material close to a ferromagnetic quantum critical point.Physical Review Letters 07/2013; 111(1):017001. DOI:10.1103/PhysRevLett.111.017001 · 7.51 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We numerically examine vortex matter with repulsive interactions at short range and attractive interactions at long range in the presence of periodic pinning arrays. Such competing vortex interactions are predicted to occur in multiband superconductors or typeI and typeII hybrid materials. For weak pinning, the vortices form cluster states, while for strong pinning, the vortices form uniform states in which flux is evenly distributed among the pinning sites. As a function of external drive, the weak pinning system exhibits clump depinning with no structure changes, while the strong pinning system depins into a disordered fluctuating state followed by a transition to a partially aligned stripe state. For weak pinning, there is a single peak in the differential conductivity, while for strong pinning there are two peaks, indicating that transport curves could be used to distinguish between vortex systems with purely repulsive interactions and those with additional long range attractive interactions.Journal of Superconductivity and Novel Magnetism 05/2013; 26(5). DOI:10.1007/s109480122096x · 0.93 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We address the question of the origin of the recently discovered chiral property of the chargedensitywave phase in 1$T$TiSe$_2$ which so far lacks a microscopic understanding. We argue that the lattice degrees of freedom seems to be crucial for this novel phenomenon. We motivate a theoretical model that takes into account one valence and three conduction bands, a strongly screened Coulomb interaction between the electrons, as well as the coupling of the electrons to a transverse optical phonon mode. The FalicovKimball model extended in this way possesses a chargedensitywave state at low temperatures, which is accompanied by a periodic lattice distortion. The charge ordering is driven by a lattice deformation and electronhole pairing (excitonic) instability in combination. We show that both electronphonon interaction and phononphonon interaction must be taken into account at least up to quartic order in the lattice displacement to achieve a stable chiral charge order. The chiral property is exhibited in the ionic displacements. Furthermore, we provide the groundstate phase diagram of the model and give an estimate of the electronelectron and electronphonon interaction constants for 1$T$TiSe$_2$.Physical Review B 04/2013; 88(7). DOI:10.1103/PhysRevB.88.075138 · 3.74 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We model the quantum electron transfer (ET) in the photosynthetic reaction center (RC), using a nonHermitian Hamiltonian approach. Our model includes (i) two protein cofactors, donor and acceptor, with discrete energy levels and (ii) a third protein pigment (sink) which has a continuous energy spectrum. Interactions are introduced between the donor and acceptor, and between the acceptor and the sink, with noise acting between the donor and acceptor. The noise is considered classically (as an external random force), and it is described by an ensemble of twolevel systems (random fluctuators). Each fluctuator has two independent parameters, an amplitude and a switching rate. We represent the noise by a set of fluctuators with fitting parameters (boundaries of switching rates), which allows us to build a desired spectral density of noise in a wide range of frequencies. We analyze the quantum dynamics and the efficiency of the ET as a function of (i) the energy gap between the donor and acceptor, (ii) the strength of the interaction with the continuum, and (iii) noise parameters. As an example, numerical results are presented for the ET through the active pathway in a quinonetype photosystem II RC.Fortschritte der Physik 04/2013; 61(23):95  110. DOI:10.1002/prop.201200069 · 1.23 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation with an external timeindependent force of the form f(x)=rexp(−iKx). Here the solitons travel with an oscillating velocity and all other characteristics of the solitons (amplitude, width, momentum, and phase) also oscillate. This behavior was predicted by a collective variable theory and confirmed by simulations. However, the reason for these oscillations remains unclear. Moreover, the spectrum of the oscillations exhibits a second strong peak, in addition to the intrinsic soliton peak. We show that the additional frequency belongs to a certain extended linear mode (which we refer to as a phonon for short) close to the lower band edge of the phonon continuum. Initially the soliton is at rest. When it starts to move it is deformed, begins to oscillate, and excites the above phonon mode such that the total momentum in a certain moving frame is conserved. In this frame the phonon does not move. However, not only does the soliton move in the homogeneous, timeperiodic field of the phonon, but it also oscillates.Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 03/2013; 87(3). DOI:10.1103/PhysRevE.87.032917 · 2.33 Impact Factor 
Article: Polaron signatures in the phonon dispersion of hightemperature superconducting copper oxides
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ABSTRACT: Hightemperature superconducting copper oxides display a variety of both longrange and local lattice anomalies which are related to the onset of the pseudogap phase and / or the onset of superconductivity. Here we show that these anomalies demonstrate polaron formation where specifically the local character of the polarons plays an important role. We predict that unconventional isotope effects will appear in both the longwavelength and local lattice effects.EPL (Europhysics Letters) 03/2013; 101(4):47004. DOI:10.1209/02955075/101/47004 · 2.27 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We report that terahertz (THz) irradiation of mouse mesenchymal stem cells (mMSCs) with a singlefrequency (SF) 2.52 THz laser or pulsed broadband (centered at 10 THz) source results in irradiation specific heterogenic changes in gene expression. The THz effect depends on irradiation parameters such as the duration and type of THz source, and on the degree of stem cell differentiation. Our microarray survey and RTPCR experiments demonstrate that prolonged broadband THz irradiation drives mMSCs toward differentiation, while 2hour irradiation (regardless of THz sources) affects genes transcriptionally active in pluripotent stem cells. The strictly controlled experimental environment indicates minimal temperature changes and the absence of any discernable response to heat shock and cellular stress genes imply a nonthermal response. Computer simulations of the core promoters of two pluripotency markers reveal association between gene upregulation and propensity for DNA breathing. We propose that THz radiation has potential for noncontact control of cellular gene expression.Scientific Reports 01/2013; 3:1184. DOI:10.1038/srep01184 · 5.58 Impact Factor
Publication Stats
17k  Citations  
2,393.62  Total Impact Points  
Top Journals
 Physical review. B, Condensed matter (135)
 Physical Review B (59)
 Synthetic Metals (49)
 Physical Review E (46)
 Physical Review Letters (39)
Institutions

1970–2015

Los Alamos National Laboratory
 • Center for Nonlinear Studies
 • Theoretical Division
ЛосАламос, California, United States


2004–2012

Beth Israel Deaconess Medical Center
 Department of Medicine
Boston, Massachusetts, United States


2007

McGill University
 Department of Physics
Montréal, Quebec, Canada 
University of Washington Seattle
 Department of Chemistry
Seattle, Washington, United States


2006

Université ParisSud 11
Orsay, ÎledeFrance, France 
Università degli Studi di Trento
Trient, TrentinoAlto Adige, Italy


2003

Abdus Salam International Centre for Theoretical Physics
Trst, Friuli Venezia Giulia, Italy


2000

Xerox Research Center Webster
Webster, New York, United States 
Rutgers, The State University of New Jersey
 Department Physics and Astronomy
New Brunswick, New Jersey, United States


1999

Université de Mons
Mons, Walloon, Belgium


1992–1999

University of Bayreuth
 Institute of Physics
Bayreuth, Bavaria, Germany 
Complutense University of Madrid
Madrid, Madrid, Spain 
Scuola Internazionale Superiore di Studi Avanzati di Trieste
Trst, Friuli Venezia Giulia, Italy


1994–1998

University Carlos III de Madrid
 High Technical College
Getafe, Madrid, Spain 
University of Rome Tor Vergata
Roma, Latium, Italy 
Tel Aviv University
Tell Afif, Tel Aviv, Israel


1997

Ukrainian Academy of Agrarian Sciences
Kievo, Kyiv City, Ukraine 
Fudan University
Shanghai, Shanghai Shi, China


1995

University of Hyderabad
Bhaganagar, Telangana, India 
Universidad Autónoma de San Luis Potosí
San Luis, San Luis Potosí, Mexico


1993–1995

University of Zagreb
Zagrabia, Grad Zagreb, Croatia 
Institute of Physics, Zagreb
Zagrabia, Grad Zagreb, Croatia


1990

City College of New York
 Department of Physics
New York, New York, United States 
Kansas State University
 Department of Physics
Манхэттен, Kansas, United States


1988–1990

The Ohio State University
 Department of Mathematics
Columbus, Ohio, United States


1975–1988

Cornell University
 Laboratory of Atomic and Solid State Physics
Итак, New York, United States 
University of Pennsylvania
Filadelfia, Pennsylvania, United States


1986

Fukuoka Institute of Technology
Hukuoka, Fukuoka, Japan


1979–1980

Queen Mary, University of London
Londinium, England, United Kingdom
