Dynamics of correlations in shallow optical lattices

Abstract

We explore how correlations evolve in a gas of lattice bosons when the lattice depth is rapidly reduced. We find a simple closed form expression for the static structure factor in the limit of vanishing interactions. The corresponding real-space density correlation function shows multiple spatial oscillations which linearly disperse as a function of time. By perturbatively including the effects of the interactions we calculate how the boson quasi-momentum evolves following the quench.

10 pages, 6 figures thoroughly expanded version of earlier manuscript

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Cited by in corpus (11)

• Light-cone effect and supersonic correlations in one- and two-dimensional bosonic superfluids
• Equilibration and prethermalization in the Bose-Hubbard and Fermi-Hubbard models
• Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
• Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime
• Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
• Particle-Hole Pair Coherence in Mott Insulator Quench Dynamics
• Loading and detecting a three-dimensional Fermi gas in one-dimensional optical superlattice
• SU(3) truncated Wigner approximation for strongly interacting Bose gases
• Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the Sine-Gordon transition: a Worm Algorithm Monte Carlo study
• Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model
• Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons