Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices
arXiv:1102.3349 · doi:10.1016/j.aop.2011.04.001
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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Cited by in corpus (10)
- Undular bore theory for the Gardner equation
- Radio frequency spectroscopy of polarons in ultracold Bose gases
- Nonlinear waves of polarization in two-component Bose-Einstein condensates
- Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices
- Hydrodynamic sound modes and Galilean symmetry breaking in a magnon fluid
- Nonlinear Modulation of Periodic Waves in the Cylindrical Gardner Equation
- Cubic-quintic nonlinearity in superfluid Bose-Bose mixtures in optical lattices: Heavy solitary waves, barrier-induced criticality, and current-phase relations
- A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev--Petviashvili equation
- A Comperative Numerical Study Based on Cubic Polynomial and Trigonometric B-splines for the Gardner Equation
- Universal dynamical phase diagram of lattice spin models and strongly correlated ultracold atoms in optical lattices