Two-Dimensional Dynamics of Ultracold Atoms in Optical Lattices

Abstract

We analyze the dynamics of ultracold atoms in optical lattices induced by a sudden shift of the underlying harmonic trapping potential. In order to study the effect of strong interactions, dimensionality and lattice topology on transport properties, we consider bosonic atoms with arbitrarily strong repulsive interactions, on a two-dimensional square lattice and a hexagonal lattice. On the square lattice we find insulating behavior for weakly interacting atoms and slow relaxation for strong interactions, even when a Mott plateau is present, which in one dimension blocks the dynamics. On the hexagonal lattice the center of mass relaxes to the new equilibrium for any interaction strength.

4 pages, 6 figures; references added; improved figures

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Cited by in corpus (34)

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• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
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• Interaction-controlled transport of an ultracold Fermi gas
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Equilibration Dynamics of Strongly Interacting Bosons in 2D Lattices with Disorder
• Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
• Wannier-Stark states and Bloch oscillations in the honeycomb lattice
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• Tuning the Quantum Phase Transition of Bosons in Optical Lattices via Periodic Modulation of s-Wave Scattering Length
• Lattice-Ramp Induced Dynamics in an Interacting Bose-Bose Mixture
• Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator
• A Hubbard model for ultracold bosonic atoms interacting via zero-point-energy induced three-body interactions
• Dipole oscillations of confined lattice bosons in one dimension
• Breathing mode in the Bose-Hubbard chain with a harmonic trapping potential
• Formation and detection of a chiral orbital Bose liquid in an optical lattice
• Quantum particle in a parabolic lattice in the presence of a gauge field
• Atomic current in optical lattices: Esaki-Tsu equation revisited
• Frustrated Quantum Magnetism with Bose Gases in Triangular Optical Lattices at Negative Absolute Temperatures
• Detecting the superfluid critical momentum of Bose gases in optical lattices through dipole oscillations
• The ASY-EOS experiment at GSI: investigating the symmetry energy at supra-saturation densities
• Collective modes of a strongly interacting Bose gas: probing the Mott transition
• Glassy features of a Bose Glass
• Mott insulator dynamics
• Extracting the Mott gap from energy measurements in trapped atomic gases
• Cluster Mean-Field Signature of Entanglement Entropy in Bosonic Superfluid-Insulator Transitions
• Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system
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• Localized Higgs modes of superfluid Bose gases in optical lattices: A Guzwiller mean-field study
• Conductivity of lattice bosons at high temperatures
• Effects of finite temperature on the robustness of the Mott insulator phase in pseudo one-dimensional Bose-Hubbard Model
• Effect of the lattice alignment on Bloch oscillations of a Bose-Einstein condensate in a square optical lattice
• Stability of current-carrying states in hard-core bosons with long-range hopping on a square lattice
• Expansion dynamics of strongly correlated lattice bosons: A selfconsistent density-matrix approach