Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices

Journal Article · Fri Oct 02 00:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.103.140403· OSTI ID:21370707

Mishmash, R V ^[1]; Carr, L D ^[2]

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1. Department of Physics, University of California, Santa Barbara, California 93106 (United States)
2. Department of Physics, Colorado School of Mines, Golden, Colorado 80401 (United States)

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.

• OSTI ID: 21370707
• Journal Information: Physical Review Letters, Vol. 103, Issue 14; Other Information: DOI: 10.1103/PhysRevLett.103.140403; (c) 2009 The American Physical Society; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
CORRELATION FUNCTIONS
ENTROPY
EVOLUTION
FORECASTING
HAMILTONIANS
LIFETIME
MEAN-FIELD THEORY
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
SIGNALS
SOLITONS
FUNCTIONS
MATHEMATICAL OPERATORS
MECHANICS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
QUASI PARTICLES
THERMODYNAMIC PROPERTIES