Entropy Production Within a Pulsed Bose–Einstein Condensate

Abstract

Abstract:We suggest to subject anharmonically trapped Bose-Einstein condensates to sinusoidal forcing with a smooth, slowly changing envelope, and to measure the coherence of the system after such pulses. In a series of measurements with successively increased maximum forcing strength, one then expects an adiabatic return of the condensate to its initial state as long as the pulses remain sufficiently weak. In contrast, once the maximum driving amplitude exceeds a certain critical value there should be a drastic loss of coherence, reflecting significant heating induced by the pulse. This predicted experimental signature is traced to the loss of an effective adiabatic invariant, and to the ensuing breakdown of adiabatic motion of the system's Floquet state when the many-body dynamics become chaotic. Our scenario is illustrated with the help of a two-site model of a forced bosonic Josephson junction, but should also hold for other, experimentally accessible configurations.

Preparing quasienergy states on demand: A parametric oscillator

“…[16][17][18][19] and references therein. The analysis for many-body systems is complicated by the effect of heating, and much progress has been made by studying systems that display many-body localization, as it may alleviate the heating.…”

“…Preparation of Floquet states is often discussed in the adiabatic framework assuming that the periodic field is slowly turned on, cf. [16][17][18][19] and references therein. The analysis for many-body systems is complicated by the effect of heating, and much progress has been made by studying systems that display many-body localization, as it may alleviate the heating.…”

Chaos in the three-site Bose-Hubbard model -- classical vs quantum

“…As a classical limit, it is widely used as the basis for semi-classical studies of the Bose-Hubbard model . The behavior of the quantum model has been compared to that of the DNLS [47][48][49][50][51][52][53][54][55][56]. When considering the classical limit, it is convenient to parametrize the interaction by Λ = U N , where U is the on-site interaction and N is the number of particles.…”

Eigenstate thermalization scaling in approaching the classical limit

“…Because of the existence of a classical limit, Bose-Hubbard systems have also been extensively used as a testbed for semi-classical methods [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68]. Quantum dynamics of these systems have also been compared with the dynamics of the corresponding classical limit [69][70][71][72][73][74][75].…”