Particle-Hole Asymmetry and Brightening of Solitons in A Strongly Repulsive BEC

Abstract

We study solitary wave propagation in the condensate of a system of hard-core bosons with nearest-neighbor interactions. For this strongly repulsive system, the evolution equation for the condensate order parameter of the system, obtained using spin coherent state averages is different from the usual Gross-Pitaevskii equation (GPE). The system is found to support two kinds of solitons when there is a particle-hole imbalance: a dark soliton that dies out as the velocity approaches the sound velocity, and a new type of soliton which brightens and persists all the way up to the sound velocity, transforming into a periodic wave train at supersonic speed. Analogous to the GPE soliton, the energy-momentum dispersion for both solitons is characterized by Lieb II modes.

Accepted for publication in PRL, Nov 12, 2009

References in corpus (3)

• Solitons in Tonks-Girardeau gas with dipolar interactions
• Superfluid and Mott Insulating shells of bosons in harmonically confined optical lattices
• Bright and dark solitary waves in a one-dimensional spin-polarized gas of fermionic atoms with p-wave interactions in a hard-wall trap

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• Quantum Dynamics of Solitons in Strongly Interacting Systems on Optical Lattices
• Cubic-quintic nonlinearity in superfluid Bose-Bose mixtures in optical lattices: Heavy solitary waves, barrier-induced criticality, and current-phase relations
• Evidences for interaction-induced Haldane fractional exclusion statistics in one and higher dimensions
• Other incarnations of the Gross-Pitaevskii dark soliton
• Universal dynamical phase diagram of lattice spin models and strongly correlated ultracold atoms in optical lattices
• Solitons in a hard-core bosonic system: Gross-Pitaevskii type and beyond