Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices

Details Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices Quantum Entangled Dark Solitons Formed by Ultracold Atoms in Optical Lattices

2007-09-29

arxiv.org/abs/0710.0045v4

Phys. Rev. Lett. 103, 140403 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures; version appearing in PRL, only minor changes from v3

Scientific paper

10.1103/PhysRevLett.103.140403

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.

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