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Q: Fachverband Quantenoptik und Photonik
Q 15: Quantum gases (Bosons) II
Q 15.3: Vortrag
Dienstag, 10. März 2020, 11:45–12:00, e214
Symmetry-induced many-body quantum interference in chaotic bosonic systems: An augmented Truncated Wigner approach — •Quirin Hummel1, Peter Schlagheck1, Denis Ullmo2, Juan Diego Urbina3, Klaus Richter3, and Steven Tomsovic4 — 1Université de Liège (Belgium) — 2Université Paris-Saclay (France) — 3Universität Regensburg (Germany) — 4Washington State University (USA)
Although highly successful, the truncated Wigner approximation (TWA) does not account for genuine many-body quantum interference between different solutions of the mean-field equations of a bosonic many-body (MB) system. This renders the TWA essentially classical, where a large number of particles formally takes the role of small ℏ. The failure to describe genuine interference phenomena can in principle be overcome by the MB version of the semiclassical van Vleck-Gutzwiller propagator. However, employing the later in its full glory generally eludes a formulation in terms of an initial value problem, one of the major strengths of TWA. Here we consider chaotic bosonic systems with discrete symmetries, where contructive interference leads to significant deviations from TWA [Schlagheck et al., PRL 123, 215302 (2019)]. We show how there the two approaches can be reconciled, combining their strengths in an augmented TWA. We illustrate the validity of our method at pre- as well as post-Ehrenfest time scales in prototypical Bose-Hubbard systems, where it also reveals the existence of additional MB interference effects.