Dynamics of a quantum phase transition and relaxation to a steady state

J Dziarmaga - Advances in Physics, 2010 - Taylor & Francis
We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

Numerical methods for atomic quantum gases with applications to Bose–Einstein condensates and to ultracold fermions

A Minguzzi, S Succi, F Toschi, MP Tosi, P Vignolo - Physics reports, 2004 - Elsevier
The achievement of Bose–Einstein condensation in ultra-cold vapours of alkali atoms has
given enormous impulse to the study of dilute atomic gases in condensed quantum states …

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

M Lewenstein, A Sanpera, V Ahufinger… - Advances in …, 2007 - Taylor & Francis
We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques

PB Blakie, AS Bradley, MJ Davis, RJ Ballagh… - Advances in …, 2008 - Taylor & Francis
We review phase-space techniques based on the Wigner representation that provide an
approximate description of dilute ultra-cold Bose gases. In this approach the quantum field …

The truncated wigner method for bose-condensed gases: limits of validity and applications1

A Sinatra, C Lobo, Y Castin - … of Physics B: Atomic, Molecular and …, 2002 - iopscience.iop.org
We study the truncated Wigner method applied to a weakly interacting spinless Bose-
condensed gas which is perturbed away from thermal equilibrium by a time-dependent …

[图书][B] Bose-condensed gases at finite temperatures

A Griffin, T Nikuni, E Zaremba - 2009 - books.google.com
The discovery of Bose–Einstein condensation (BEC) in trapped ultracold atomic gases in
1995 has led to an explosion of theoretical and experimental research on the properties of …

Finite-temperature models of Bose–Einstein condensation

NP Proukakis, B Jackson - … of Physics B: Atomic, Molecular and …, 2008 - iopscience.iop.org
The theoretical description of trapped weakly interacting Bose–Einstein condensates is
characterized by a large number of seemingly very different approaches which have been …

The stochastic gross–pitaevskii equation: Ii

CW Gardiner, MJ Davis - Journal of Physics B: Atomic, Molecular …, 2003 - iopscience.iop.org
We provide a derivation of a more accurate version of the stochastic Gross–Pitaevskii
equation, as introduced by Gardiner et al (2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555). This …

The stochastic gross-pitaevskii equation

CW Gardiner, JR Anglin, TIA Fudge - Journal of Physics B …, 2002 - iopscience.iop.org
We show how to adapt the ideas of local energy and momentum conservation in order to
derive modifications to the Gross-Pitaevskii equation which can be used …

Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner approximation

A Polkovnikov - Physical Review A, 2003 - APS
We develop a consistent perturbation theory in quantum fluctuations around the classical
evolution of a system of interacting bosons. The zero-order approximation gives the classical …