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Critical entropies for magnetic ordering in bosonic mixtures on a lattice

B. Capogrosso-Sansone, Ş. G. Söyler, N. V. Prokof’ev, and B. V. Svistunov
Phys. Rev. A 81, 053622 – Published 21 May 2010
Physics logo See Synopsis: Entropy and order in optical lattices

Abstract

We perform a numeric study (Worm algorithm Monte Carlo simulations) of ultracold two-component bosons in two- and three-dimensional optical lattices. At strong enough interactions and low enough temperatures the system features magnetic ordering. We compute critical temperatures and entropies for the disappearance of the Ising antiferromagnetic and the xy-ferromagnetic order and find that the largest possible entropies per particle are ~0.5kB. We also estimate (optimistically) the experimental hold times required to reach equilibrium magnetic states to be on a scale of seconds. Low critical entropies and long hold times render the experimental observations of magnetic phases challenging and call for increased control over heating sources.

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  • Received 10 December 2009

DOI:https://doi.org/10.1103/PhysRevA.81.053622

©2010 American Physical Society

Synopsis

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Entropy and order in optical lattices

Published 24 May 2010

Simulations address whether magnetic ordering is achievable with cold atoms in optical lattices.

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Authors & Affiliations

B. Capogrosso-Sansone1, Ş. G. Söyler2,3, N. V. Prokof’ev2,4, and B. V. Svistunov2,4

  • 1Institute for Theoretical Atomic, Molecular and Optical Physics, Harvard-Smithsonian Center of Astrophysics, Cambridge, Massachusetts 02138, USA
  • 2Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
  • 3The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, I-34151 Trieste, Italy
  • 4Russian Research Center “Kurchatov Institute”, 123182 Moscow, Russia

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Issue

Vol. 81, Iss. 5 — May 2010

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