Sweeping from the Superfluid to the Mott Phase in the Bose-Hubbard Model

Ralf Schützhold, Michael Uhlmann, Yan Xu, and Uwe R. Fischer
Phys. Rev. Lett. 97, 200601 – Published 17 November 2006

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)eγt, 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 (γμ), intermediate, and fast (nonadiabatic γμ) 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.

  • Figure
  • Received 12 May 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.200601

©2006 American Physical Society

Authors & Affiliations

Ralf Schützhold1,*, Michael Uhlmann1, Yan Xu1, and Uwe R. Fischer2,†

  • 1Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany
  • 2Institut für Theoretische Physik, Eberhard-Karls-Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany

  • *Electronic address: schuetz@theory.phy.tu-dresden.de
  • Electronic address: uwe.fischer@uni-tuebingen.de

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Vol. 97, Iss. 20 — 17 November 2006

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