Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
| dc.creator | Polkovnikov, Anatoli | |
| dc.creator | Sachdev, Subir | |
| dc.creator | Girvin, S. M. | |
| dc.date | 2002-06-25 | |
| dc.date | 2002-07-10 | |
| dc.date.accessioned | 2026-07-07T02:45:59Z | |
| dc.date.available | 2026-07-07T02:45:59Z | |
| dc.description | Motivated by recent experiments on trapped ultra-cold bosonic atoms in an optical lattice potential, we consider the non-equilibrium 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 "pi phase" imprint on a superfluid ground state (i.e. the initial phases of neighboring wells differ by pi), and discuss the subsequent appearance of density wave order and "Schrodinger cat" states. | |
| dc.description | 16 pages, 11 figures; (v2) added references | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0206490 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0206490 | |
| dc.identifier | Physical Review A 66, 053607 (2002). | |
| dc.identifier | doi:10.1103/PhysRevA.66.053607 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19501 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Superconductivity | |
| dc.title | Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models | |
| dc.type | text |