2002/06/30 by Anatoli Polkovnikov, Subir Sachdev, S. M. Girvin · 4 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #cond-mat.supr-con
paper · pdf · doi:10.1103/physreva.66.053607
published as Physical Review A 66, 053607 (2002). · 16 pages, 11 figures; (v2) added references
arxiv created 2002/07/10 · openalex publication_date 2002/11/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by recent experiments on trapped ultracold bosonic atoms in an optical lattice potential, we consider the nonequilibrium dynamic properties of such bosonic systems for a number of experimentally relevant situations. When the number of bosons per lattice site is large, there is a wide parameter regime where the effective boson interactions are strong, but the ground state remains a superfluid (and not a Mott insulator): we describe the conditions under which the dynamics in this regime can be described by a discrete Gross-Pitaevskii equation. We describe the evolution of the phase coherence after the system is initially prepared in a Mott insulating state, and then allowed to evolve after a sudden change in parameters places it in a regime with a superfluid ground state. We also consider initial conditions with a ``\ensuremathπ phase'' imprint on a superfluid ground state (i.e., the initial phases of neighboring wells differ by \ensuremathπ), and discuss the subsequent appearance of the density wave order and ``Schr"odinger cat,'' i.e., macroscopic quantum interference, states.