Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices

Eugene Demler; Andrei Maltsev

doi:10.1016/j.aop.2011.04.001

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arXiv · 1102.3349

Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices

Eugene Demler·Andrei Maltsev

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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.

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Eugene Demler, Andrei Maltsev. 2011-02-16. Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices. https://doi.org/10.1016/j.aop.2011.04.001

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