Semiclassical Solitons in Strongly Correlated Systems of Ultracold Bosonic Atoms in Optical Lattices

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Semiclassical Solitons in Strongly Correlated Systems of Ultracold Bosonic Atoms in Optical Lattices

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Title: Semiclassical Solitons in Strongly Correlated Systems of Ultracold Bosonic Atoms in Optical Lattices
Author: Maltsev, Andrei; Demler, Eugene A.

Note: Order does not necessarily reflect citation order of authors.

Citation: Demler, Eugene A., and Andrei Maltsev. 2011. Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices. Annals of Physics 326(7): 1775–1805.
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Abstract: We investigate theoretically soliton excitations and dynamics of their formation in strongly correlated systems of ultracold bosonic atoms in two and three dimensional optical lattices. We derive equations of nonlinear hydrodynamics in the regime of strong interactions and incommensurate fillings, when atoms can be treated as hard core bosons. When parameters change in one direction only we obtain Korteweg–de Vries type equation away from half-filling and modified KdV equation at half-filling. We apply this general analysis to a problem of the decay of the density step. We consider stability of one dimensional solutions to transverse fluctuations. Our results are also relevant for understanding nonequilibrium dynamics of lattice spin models.
Published Version: doi:10.1016/j.aop.2011.04.001
Other Sources: http://arxiv.org/abs/1102.3349
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:13421126
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