01174nas a2200109 4500008004100000245007300041210006900114520080600183100001900989700001901008856003701027 2018 eng d00aA semiclassical theory of phase-space dynamics of interacting bosons0 asemiclassical theory of phasespace dynamics of interacting boson3 a
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 Green's 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.
1 aMathew, Ranchu1 aTiesinga, Eite uhttps://arxiv.org/abs/1803.05122