2011/02/16 by Eugene Demler, A. Ya. Maltsev, Andrei Maltsev · 1 citation
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Korteweg–de Vries equation #Lattice (music) #Non-equilibrium thermodynamics #Nonlinear system #Optical lattice #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Semiclassical physics #Soliton #Strong Light-Matter Interactions #Superfluidity #Ultracold atom #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1016/j.aop.2011.04.001
arxiv created 2011/02/16 · openalex publication_date 2011/04/21 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.