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Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices

Source: Phys. Rev. Lett. 103, 140403 (2009); doi:10.1103/PhysRevLett.103.140403

Published 29 September 2009

PACS
  • 03.75.Lm
    Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations
  • 03.75.Gg
    Entanglement and decoherence in Bose-Einstein condensates
  • 05.45.Yv
    Solitons
  • YEAR: 2009
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PUBLICATION DATA
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R. V. Mishmash1,2 and L. D. Carr2
1Department of Physics, University of California, Santa Barbara, California 93106, USA
2Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA

Inspired by experiments on Bose-Einstein condensates in optical lattices, we study the quantum evolution of dark soliton initial conditions in the context of the Bose-Hubbard Hamiltonian. An extensive set of quantum measures is utilized in our analysis, including von Neumann and generalized quantum entropies, quantum depletion, and the pair correlation function. We find that quantum effects cause the soliton to fill in. Moreover, soliton-soliton collisions become inelastic, in strong contrast to the predictions of mean-field theory. These features show that the lifetime and collision properties of dark solitons in optical lattices provide clear signals of quantum effects. ©2009 The American Physical Society
History: Received 29 September 2007; revised 10 July 2009; published 29 September 2009
Permalink: http://link.aps.org/abstract/PRL/v103/e140403

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