Article
Collective excitations of trapped onedimensional dipolar quantum gases
Physical Review A (Impact Factor: 3.04). 09/2007; DOI: 10.1103/PhysRevA.77.015601
Source: arXiv

Article: On the thermalization of a Luttinger liquid after a sequence of sudden interaction quenches
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ABSTRACT: We present a comprehensive analysis of the relaxation dynamics of a Luttinger liquid subject to a sequence of sudden interaction quenches. We express the critical exponent $\beta$ governing the decay of the steadystate propagator as an explicit functional of the switching protocol. At long distances $\beta$ depends only on the initial state while at short distances it is also history dependent. Continuous protocols of arbitrary complexity can be realized with infinitely long sequences. For quenches of finite duration we prove that there exist no protocol to bring the initial noninteracting system in the ground state of the Luttinger liquid. Nevertheless memory effects are washed out at shortdistances. The adiabatic theorem is then investigated with rampswitchings of increasing duration, and several analytic results for both the propagator and the excitation energy are derived.EPL (Europhysics Letters) 02/2011; 95(1). · 2.26 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We present a quantum Monte Carlo study of the onebody density matrix (OBDM) and the momentum distribution of onedimensional dipolar bosons, with dipole moments polarized perpendicular to the direction of confinement. We observe that the longrange nature of the dipole interaction has dramatic effects on the offdiagonal correlations: although the dipoles never crystallize, the system goes from a quasicondensate regime at low interactions to a regime in which quasicondensation is discarded, in favor of quasisolidity. For all strengths of the dipolar interaction, the OBDM shows an oscillatory behavior coexisting with an overall algebraic decay; and the momentum distribution shows sharp kinks at the wavevectors of the oscillations, $Q = \pm 2\pi n$ (where $n$ is the atom density), beyond which it is strongly suppressed. This \emph{momentum filtering} effect introduces a characteristic scale in the momentum distribution, which can be arbitrarily squeezed by lowering the atom density. This shows that onedimensional dipolar Bose gases, realized e.g. by trapped dipolar molecules, show strong signatures of the dipolar interaction in timeofflight measurements. Comment: 10 pages, 6 figures. v2: fixed a mistake in the comparison with Ref. 9, as well as several typos. Published versionNew Journal of Physics 10/2009; · 4.06 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We study the ground state of few bosons with repulsive dipoledipole interaction in a quasionedimensional harmonic trap by means of the exact diagonalization method. Up to three interaction regimes are found, depending on the strength of the dipolar interaction and the ratio of transverse to axial oscillator lengths: a regime where the dipolar Bose gas resembles a system of weakly δinteracting bosons, a second regime where the bosons are fermionized, and a third regime where the bosons form a Wigner crystal. In the first two regimes, the dipoledipole potential can be replaced by a δ potential. In the crystalline state, the overlap between the localized wave packets is strongly reduced and all the properties of the boson system equal those of its fermionic counterpart. The transition from the TonksGirardeau gas to the solidlike state is accompanied by a rapid increase of the interaction energy and a considerable change of the momentum distribution, which we trace back to the different shortrange correlations in the two interaction regimes.Physical Review A 06/2010; 81(6):063616. · 3.04 Impact Factor
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