Tiesinga, E.
and Mathew, R.
(2019),
A semiclassical theory of phase-space dynamics of interacting bosons, Journal of Physics B-Atomic Molecular and Optical Physics, [online], https://doi.org/10.1088/1361-6455/ab319c
(Accessed October 13, 2024)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
A semiclassical theory of phase-space dynamics of interacting bosons
Published
Author(s)
, Ranchu Mathew
Abstract
We study the phase-space representation of dynamics of bosons in the semiclassical regime where the occupation number of the modes is large. To this end, we employ the van Vleck-Gutzwiller propagator to obtain an approximation for the Greens function of the Wigner distribution. The semiclassical analysis incorporates interference of classical paths and reduces to the truncated Wigner approximation (TWA) when the interference is ignored. Furthermore, we identify the Ehrenfest time after which the TWA fails. As a case study, we consider a single-mode quantum nonlinear oscillator, which displays collapse and revival of observables. We analytically show that the interference of classical paths leads to revivals, an effect that is not reproduced by the TWA or a perturbative analysis.Citation
Journal of Physics B-Atomic Molecular and Optical Physics
Volume
52
Pub Type
Journals
Download Paper
Keywords
integrable Hamiltonians, truncated Wigner approximation, semiclassical theory
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created August 21, 2019, Updated March 2, 2020