Quantum phase-space analysis of population equilibration in multiwell ultracold atomic systems

摘要: We examine the medium time quantum dynamics and population equilibration of two-, three-, four-well Bose-Hubbard models using stochastic integration in truncated Wigner phase-space representation. find that all three systems will enter at least a temporary state equilibrium, with details depending on both classical initial conditions statistics. integrability is not necessarily good guide as to whether occur. construct an effective single-particle reduced density matrix for each systems, expectation values operator moments, use this calculate entropy. Knowing expected maximum entropy system, we are able quantify different approaches equilibrium.