Publications (5)10.13 Total impact
 [Show abstract] [Hide abstract]
ABSTRACT: We study the equilibrium and nonequilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase diagram of the disordered Bose Hubbard model and obtain the Mott insulator, Bose glass and superfluid phases. We also study the non equilibrium response of the system under a periodic temporal drive where, starting from the superfluid phase, the hopping parameter is ramped down linearly in time, and back to its initial value. We study the density of excitations created, the change in the superfluid order parameter and the energy pumped into the system in this process as a function of the inverse ramp rate $\tau$. For the clean case the density of excitations goes to a constant, while the order parameter and energy relaxes as $1/\tau$ and $1/\tau^2$ respectively. With disorder, the excitation density decays exponentially with $\tau$, with the decay rate increasing with the disorder, to an asymptotic value independent of the disorder. The energy and change in order parameter also decrease as $\tau$ is increased. 
Article: Zero bias conductance peak in Majorana wires made of semiconductorsuperconductor hybrid structures
[Show abstract] [Hide abstract]
ABSTRACT: Motivated by a recent experimental report[1] claiming the likely observation of the Majorana mode in a semiconductorsuperconductor hybrid structure[2,3,4,5], we study theoretically the dependence of the zero bias conductance peak associated with the zeroenergy Majorana mode in the topological superconducting phase as a function of temperature, tunnel barrier potential, and a magnetic field tilted from the direction of the wire for realistic wires of finite lengths. We find that higher temperatures and tunnel barriers as well as a large magnetic field in the direction transverse to the wire length could very strongly suppress the zerobias conductance peak as observed in Ref.[1]. We also show that a strong magnetic field along the wire could eventually lead to the splitting of the zero bias peak into a doublet with the doublet energy splitting oscillating as a function of increasing magnetic field. Our results based on the standard theory of topological superconductivity in a semiconductor hybrid structure in the presence of proximityinduced superconductivity, spinorbit coupling, and Zeeman splitting show that the recently reported experimental data are generally consistent with the existing theory that led to the predictions for the existence of the Majorana modes in the semiconductor hybrid structures in spite of some apparent anomalies in the experimental observations at first sight. We also make several concrete new predictions for future observations regarding Majorana splitting in finite wires used in the experiments.  [Show abstract] [Hide abstract]
ABSTRACT: We use a strong coupling canonical transformation to study the phase diagram of strongly interacting bosons in an optical lattice in the presence of onebody disorder potential. Our strong coupling approach treats the disorder potential nonperturbatively and can be applied to moderately high disorder potentials as long as the on site repulsion energy scale for the bosons (U) is larger than the scale of the disorder potential (V). Within the strong coupling approach, we systematically derive the low energy effective Hamiltonian, and, using variational Gutzwiller type wavefunctions, study the phase diagram of the disordered Hubbard model, identifying the Mott insulator, superfluid and Bose glass phases.  [Show abstract] [Hide abstract]
ABSTRACT: Majorana fermions have been proposed to be realizable at the end of the semiconductor nanowire on top of an swave superconductor [1,2]. These proposals require gating the nanowire directly in contact with a superconductor which may be difficult in experiments. We analyze [1,2] in configurations where the wire is only gated away from the superconductor. We show that some signatures of the Majorana mode remain but the Majorana mode is not localized and hence not suitable for quantum computation. Therefore we propose an 1D periodic heterostructure which can support localized Majorana modes at the end of the wire without gating on the superconductor. [4pt] [1] Jay D. Sau et al., arXiv:1006.2829, Phys Rev B (in press)[0pt] [2] Roman M. Lutchyn et al., Phys. Rev. Lett. 105, 077001 (2010)  [Show abstract] [Hide abstract]
ABSTRACT: In this work, we theoretically construct exact mappings of manyparticle bosonic systems onto quantum rotor models. In particular, we analyze the rotor representation of spinor BoseEinstein condensates. In a previous work it was shown that there is an exact mapping of a spinone condensate of fixed particle number with quadratic Zeeman interaction onto a quantum rotor model. Since the rotor model has an unbounded spectrum from above, it has many more eigenstates than the original bosonic model. Here we show that for each subset of states with fixed spin F_z, the physical rotor eigenstates are always those with lowest energy. We classify three distinct physical limits of the rotor model: the Rabi, Josephson, and Fock regimes. The last regime corresponds to a fragmented condensate and is thus not captured by the Bogoliubov theory. We next consider the semiclassical limit of the rotor problem and make connections with the quantum wave functions through use of the Husimi distribution function. Finally, we describe how to extend the analysis to higherspin systems and derive a rotor model for the spintwo condensate. Theoretical details of the rotor mapping are also provided here.
Publication Stats
53  Citations  
10.13  Total Impact Points  
Top Journals
Institutions

20102012

University of Maryland, College Park
 Department of Physics
Maryland, United States
