Evolution of coherence during ramps across the Mott-insulator–superfluid phase boundary

Yariv Yanay and Erich J. Mueller
Phys. Rev. A 93, 013622 – Published 25 January 2016

Abstract

We calculate how correlations in a Bose lattice gas grow during a finite-speed ramp from the Mott to the superfluid regime. We use an interacting doublon-holon model, applying a mean-field approach for implementing hard-core constraints between these degrees of freedom. Our solutions are valid in any dimension and agree with experimental results and with density matrix renormalization group calculations in one dimension. We find that the final energy density of the system drops quickly with increased ramp time for ramps shorter than one hopping time, Jτramp1. For longer ramps, the final energy density depends only weakly on ramp speed. We calculate the effects of inelastic light scattering during such ramps.

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  • Received 12 August 2015
  • Revised 17 December 2015

DOI:https://doi.org/10.1103/PhysRevA.93.013622

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Yariv Yanay

  • Department of Physics, McGill University, Montreal, Canada H3A 2T8

Erich J. Mueller

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca New York 14850, USA

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Issue

Vol. 93, Iss. 1 — January 2016

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