Pseudo-fermionization of 1-D bosons in optical lattices

Abstract

We present a model that generalizes the Bose-Fermi mapping for strongly correlated 1D bosons in an optical lattice, to cases in which the average number of atoms per site is larger than one. This model gives an accurate account of equilibrium properties of such systems, in parameter regimes relevant to current experiments. The application of this model to non-equilibrium phenomena is explored by a study of the dynamics of an atom cloud subject to a sudden displacement of the confining potential. Good agreement is found with results of recent experiments. The simplicity and intuitive appeal of this model make it attractive as a general tool for understanding bosonic systems in the strongly correlated regime.

arXiv comment5 pages, 4 figures

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Cited by in corpus (19)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Observation of a disordered bosonic insulator from weak to strong interactions
• Ultracold bosons with short-range interaction in regular optical lattices
• Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices
• Lifshitz-like transition and enhancement of correlations in a rotating bosonic ring lattice
• Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions
• Quantum correlations and degeneracy of identical bosons in a 2D harmonic trap
• Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
• Quantum phase slips in one-dimensional superfluids in a periodic potential
• Heavily Damped Motion of One-Dimensional Bose Gases in an Optical Lattice
• Dipole oscillations of confined lattice bosons in one dimension
• Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
• Universal damping behavior of dipole oscillations of one-dimensional ultracold gases induced by quantum phase slips
• Time-dependent currents of 1D bosons in an optical lattice
• Exploring the grand-canonical phase diagram of interacting bosons in optical lattices by trap squeezing
• Fermionic properties of two interacting bosons in a two-dimensional harmonic trap
• Thermal and quantum noncondensate particles near the superfluid to Mott insulator transition
• Driven dipole oscillations and the lowest energy excitations of strongly interacting lattice bosons in a harmonic trap
• One-Dimensional Disordered Bosonic Systems