Quantum Dynamics of Solitons in Strongly Interacting Systems on Optical Lattices

Abstract

Mean-field dynamics of strongly interacting bosons described by hard core bosons with nearest-neighbor attraction has been shown to support two species of solitons: one of Gross-Pitaevskii (GP-type) where the condensate fraction remains dark and a novel non-Gross-Pitaevskii-type (non-GP-type) characterized by brightening of the condensate fraction. Here we study the effects of quantum fluctuations on these solitons using the adaptive time-dependent density matrix renormalization group method, which takes into account the effect of strong correlations. We use local observables as the density, condensate density and correlation functions as well as the entanglement entropy to characterize the stability of the initial states. We find both species of solitons to be stable under quantum evolution for a finite duration, their tolerance to quantum fluctuations being enhanced as the width of the soliton increases. We describe possible experimental realizations in atomic Bose Einstein Condensates, polarized degenerate Fermi gases, and in systems of polar molecules on optical lattices.

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• The nonlinear Dirac equation in Bose-Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices
• Quantum bright solitons in a quasi-one-dimensional optical lattice
• Solitary excitations in one-dimensional spin chains
• Vortex-antivortex proliferation from an obstacle in thin film ferromagnets
• Quantum bright solitons in the Bose-Hubbard model with site-dependent repulsive interactions
• Experimental Observation of Single- and Multisite Matter-Wave Solitons in an Optical Accordion Lattice
• Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
• Solitons in a hard-core bosonic system: Gross-Pitaevskii type and beyond
• Variational Monte Carlo study of soliton excitations in hard-sphere Bose gases