Optimal time-dependent lattice models for nonequilibrium dynamics
arXiv:1006.3530 · doi:10.1088/1367-2630/13/4/043003
Abstract
Lattice models are abundant in theoretical and condensed-matter physics. Generally, lattice models contain time-independent hopping and interaction parameters that are derived from the Wannier functions of the noninteracting problem. Here, we present a new concept based on time-dependent Wannier functions and the variational principle that leads to optimal time-dependent lattice models. As an application, we use the Bose-Hubbard model with time-dependent Wannier functions to study a quench scenario involving higher bands. We find a separation of times scales in the dynamics and show that under some circumstances the multi-band nonequilibrium dynamics of a quantum system can be obtained essentially at the cost of a single-band model.
14 pages, 3 figures
References in corpus (30)
- Thermalization and its mechanism for generic isolated quantum systems
- Efficient simulation of one-dimensional quantum many-body systems
- Real time evolution using the density matrix renormalization group
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Quantum Phases of the Extended Bose-Hubbard Hamiltonian: Possibility of a Supersolid State of Cold Atoms in Optical Lattices
- Exact quantum dynamics of a bosonic Josephson junction
- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
- Counting atoms using interaction blockade in an optical superlattice
- Many-Body Coherent Destruction of Tunneling
- Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
- Dissipation induced coherence of a two-mode Bose-Einstein condensate
- Finite size effects in global quantum quenches: examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model
- Ultracold Bosons in a Tilted Multi-level Double-Well Potential
- Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices
- Bosonic amplification of noise-induced suppression of phase diffusion
- Self-Trapping of Bosons and Fermions in Optical Lattices
- Phase-diffusion dynamics in weakly coupled Bose-Einstein condensates
- Nonlinear phase-dynamics in a driven Bosonic Josephson junction
- Quantum dynamics of attractive versus repulsive bosonic Josephson junctions: Bose-Hubbard and full-Hamiltonian results
- Incommensurate superfluidity of bosons in a double-well optical lattice
- Multiband bosons in optical lattices
- Interaction broadening of Wannier functions and Mott transitions in atomic BEC
- Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
- Butterfly Floquet Spectrum in Driven SU(2) Systems
- Supercurrent survival under Rosen-Zener quench of hard core bosons
Cited by in corpus (17)
- Non-standard Hubbard models in optical lattices: a review
- Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
- Exact quantum dynamics of bosons with finite-range time-dependent interactions of harmonic type
- Physics of higher orbital bands in optical lattices: a review
- MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
- Universality of Fragmentation in the Schrödinger Dynamics of Bosonic Josephson Junctions
- Phases, many-body entropy measures and coherence of interacting bosons in optical lattices
- Correlations of strongly interacting ultracold dipolar bosons in optical lattices
- Fast dynamics for atoms in optical lattices
- Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
- Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment
- Ballistic quench-induced correlation waves in ultracold gases
- Effective three-body interactions for bosons in a double-well confinement
- Management of the Correlations of Ultracold Bosons in Triple Wells
- Interaction Effects on Wannier Functions for Bosons in Optical Lattice
- Variational Bose-Hubbard model revisited
- Number fluctuations of cold spatially split bosonic objects