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

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2011.04.001· OSTI ID:21583309

Demler, Eugene ^[1]; Maltsev, Andrei ^[2]

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1. Department of Physics, Harvard University, Cambridge, MA 02138 (United States)
2. L.D. Landau Institute for Theoretical Physics, Chernogolovka, Moscow Reg. 142432 (Russian Federation)

Highlights: > Dynamics of their formation in strongly correlated systems of ultracold bosonic atoms in optical lattices. > Regime of very strong interactions between atoms, the so-called hard core bosons regime. > Character of soliton excitations is dramatically different from the usual Gross-Pitaevskii regime. - 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.

• OSTI ID: 21583309
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 7; Other Information: DOI: 10.1016/j.aop.2011.04.001; PII: S0003-4916(11)00046-7; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DECAY
DENSITY
EXCITATION
FLUCTUATIONS
HYDRODYNAMICS
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
SEMICLASSICAL APPROXIMATION
SOLITONS
SPIN
STABILITY
STRONG INTERACTIONS
THREE-DIMENSIONAL CALCULATIONS
ANGULAR MOMENTUM
APPROXIMATIONS
BASIC INTERACTIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FLUID MECHANICS
INTERACTIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUASI PARTICLES
VARIATIONS