Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps

D. Pekker, B. Wunsch, T. Kitagawa, E. Manousakis, A. S. Sørensen, and E. Demler
Phys. Rev. B 86, 144527 – Published 22 October 2012

Abstract

We investigate the equilibrium and dynamical properties of the Bose-Hubbard model and the related particle-hole symmetric spin-1 model in the vicinity of the superfluid to Mott insulator quantum phase transition. We employ the following methods: exact-diagonalization, mean-field (Gutzwiller), cluster mean-field, and mean-field plus Gaussian fluctuations. In the first part of the paper we benchmark the four methods by analyzing the equilibrium problem and give numerical estimates for observables such as the density of double occupancies and their correlation function. In the second part, we study parametric ramps from the superfluid to the Mott insulator and map out the crossover from the regime of fast ramps, which is dominated by local physics, to the regime of slow ramps with a characteristic universal power law scaling, which is dominated by long wavelength excitations. We calculate values of several relevant physical observables, characteristic time scales, and an optimal protocol needed for observing universal scaling.

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  • Received 12 June 2012

DOI:https://doi.org/10.1103/PhysRevB.86.144527

©2012 American Physical Society

Authors & Affiliations

D. Pekker1, B. Wunsch2,3, T. Kitagawa3, E. Manousakis4, A. S. Sørensen5, and E. Demler3

  • 1Department of Physics, Caltech University, Pasadena, California 91125, USA
  • 2ABB Switzerland Ltd., Corporate Research, Baden CH-5405, Switzerland
  • 3Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA
  • 4Department of Physics, Florida State University, Tallahassee, Florida 32306, USA
  • 5QUANTOP, Danish Quantum Optics Center and Niels Bohr Institute, DK-2100 Copenhagen Ø, Denmark

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Issue

Vol. 86, Iss. 14 — 1 October 2012

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