Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
| dc.creator | Schützhold, Ralf | |
| dc.creator | Uhlmann, Michael | |
| dc.creator | Xu, Yan | |
| dc.creator | Fischer, Uwe R. | |
| dc.date | 2006-05-04 | |
| dc.date | 2006-10-23 | |
| dc.date.accessioned | 2026-07-07T07:08:45Z | |
| dc.date.available | 2026-07-07T07:08:45Z | |
| dc.description | We study the sweep through the quantum phase transition from the superfluid to the Mott state for the Bose-Hubbard model with a time-dependent tunneling rate $J(t)$. In the experimentally relevant case of exponential decay, $J(t)\propto e^{-γt}$, an adapted mean-field expansion for large fillings $n$ yields a scaling solution for the fluctuations. This enables us to analytically calculate the evolution of the number and phase variations (on-site) and correlations (off-site) for slow ($γ\llμ$), intermediate, and fast (non-adiabatic $γ\ggμ$) sweeps, where $μ$ is the chemical potential. Finally, we derive the dynamical decay of the off-diagonal long-range order as well as the temporal shrinkage of the superfluid fraction in a persistent ring-current setup. | |
| dc.description | 4 pages of RevTex4, 1 figure; to appear in Physical Review Letters | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605121 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605121 | |
| dc.identifier | Phys. Rev. Lett. 97, 200601 (2006) | |
| dc.identifier | doi:10.1103/PhysRevLett.97.200601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110822 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Quantum Physics | |
| dc.title | Sweeping from the superfluid to Mott phase in the Bose-Hubbard model | |
| dc.type | text |