2011/09/15 by Vito Chianca, C. V. Chianca, M. K. Olsen · 2 citations
Chemistry · Physics and Astronomy · #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Density matrix #Entropy (arrow of time) #Operator (biology) #Opinion Dynamics and Social Influence #Phase space #Physics #Population #Quantum #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.84.043636
16 pages, 7 figures
arxiv created 2011/09/15 · openalex publication_date 2011/10/24 · arxiv updated 2015/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine the medium time quantum dynamics and population equilibration of two-, three-, and four-well Bose-Hubbard models using stochastic integration in the truncated Wigner phase-space representation. We find that all three systems will enter at least a temporary state of equilibrium, with the details depending on both the classical initial conditions and the initial quantum statistics. We find that classical integrability is not necessarily a good guide as to whether equilibration will occur. We construct an effective single-particle reduced density matrix for each of the systems, using the expectation values of operator moments, and use this to calculate an effective entropy. Knowing the expected maximum values of this entropy for each system, we are able to quantify the different approaches to equilibrium.