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Sweeping from the superfluid to Mott phase in the Bose-Hubbard model

Ralf Schützhold·Michael Uhlmann·Yan Xu·Uwe R. Fischer
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Abstract

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.

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BibTeXRIS

Ralf Schützhold, Michael Uhlmann, Yan Xu, Uwe R. Fischer. 2006-10-23. Sweeping from the superfluid to Mott phase in the Bose-Hubbard model. https://doi.org/10.1103/physrevlett.97.200601

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