Collective Oscillations of Strongly Correlated One-Dimensional Bosons on a Lattice

Abstract

We study the dipole oscillations of strongly correlated 1D bosons, in the hard-core limit, on a lattice, by an exact numerical approach. We show that far from the regime where a Mott insulator appears in the system, damping is always present and increases for larger initial displacements of the trap, causing dramatic changes in the momentum distribution, $n_k$. When a Mott insulator sets in the middle of the trap, the center of mass barely moves after an initial displacement, and $n_k$ remains very similar to the one in the ground state. We also study changes introduced by the damping in the natural orbital occupations, and the revival of the center of mass oscillations after long times.

4 pages, 5 figures, published version

References in corpus (8)

• Strongly inhibited transport of a 1D Bose gas in a lattice
• Fermionization in an expanding 1D gas of hard-core bosons
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Insulating Behavior of a Trapped Ideal Fermi Gas
• Decay of a superfluid currents in a moving system of strongly interacting bosons
• Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices

Cited by in corpus (22)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Relaxation of a one-dimensional Mott insulator after an interaction quench
• Interaction-controlled transport of an ultracold Fermi gas
• Ultracold bosons with short-range interaction in regular optical lattices
• Dissipative quantum dynamics of bosonic atoms in a shallow 1D optical lattice
• Accurate multi-boson long-time dynamics in triple-well periodic traps
• Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices
• Dynamics of Disordered States in the Bose-Hubbard Model with Confinement
• Phase coherence, visibility, and the superfluid--Mott-insulator transition on one-dimensional optical lattices
• Quantum phase slips in one-dimensional superfluids in a periodic potential
• Dark Soliton Interaction of Spinor Bose-Einstein Condensates in an Optical Lattice
• Heavily Damped Motion of One-Dimensional Bose Gases in an Optical Lattice
• Pseudo-fermionization of 1-D bosons in optical lattices
• Dipole oscillations of confined lattice bosons in one dimension
• Mean-field treatment of the damping of the oscillations of a 1D Bose gas in an optical lattice
• Universal damping behavior of dipole oscillations of one-dimensional ultracold gases induced by quantum phase slips
• Modulated trapping of interacting bosons in one dimension
• Time-dependent currents of 1D bosons in an optical lattice
• Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction
• Dipole oscillations of fermionic superfluids along the BEC-BCS crossover in disordered potentials
• Dynamics of harmonically confined systems: some rigorous results
• Driven dipole oscillations and the lowest energy excitations of strongly interacting lattice bosons in a harmonic trap