Coherent matter waves emerging from Mott-insulators

Abstract

We study the formation of (quasi-)coherent matter waves emerging from a Mott insulator for strongly interacting bosons on a one-dimensional lattice. It has been shown previously that a quasi-condensate emerges at momentum k=π/2a, where a is the lattice constant, in the limit of infinitely strong repulsion (hard-core bosons). Here we show that this phenomenon persists for all values of the repulsive interaction that lead to a Mott insulator at a commensurate filling. The non-equilibrium dynamics of hard-core bosons is treated exactly by means of a Jordan-Wigner transformation, and the generic case is studied using a time-dependent density matrix renormalization group technique. Different methods for controlling the emerging matter wave are discussed.

20 pages, 11 figures. Published version

References in corpus (18)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• A lattice of double wells for manipulating pairs of cold atoms
• Nonequilibrium electron transport using the density matrix renormalization group
• Time-step targetting methods for real-time dynamics using DMRG
• Fermionization in an expanding 1D gas of hard-core bosons
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Diagonalization- and Numerical Renormalization-Group-Based Methods for Interacting Quantum Systems
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Exact Study of the 1D Boson Hubbard Model with a Superlattice Potential
• Comment on "Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of- Equilibrium Systems"
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices

Cited by in corpus (38)

• Area laws for the entanglement entropy - a review
• Time-evolution methods for matrix-product states
• Quantum Quenches in Extended Systems
• The Luttinger model following a sudden interaction switch-on
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Probing local relaxation of cold atoms in optical superlattices
• Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
• Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
• Sudden expansion of Mott insulators in one dimension
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Emergent eigenstate solution to quantum dynamics far from equilibrium
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Quantum phase transition using quantum walks in an optical lattice
• Ground-state reference systems for expanding correlated fermions in one dimension
• Performance of the time-dependent variational principle for matrix product states in long-time evolution of a pure state
• Quantum distillation and confinement of vacancies in a doublon sea
• Expansion of one-dimensional lattice hard-core bosons at finite temperature
• Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
• Expansion of Bose-Hubbard Mott insulators in optical lattices
• Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime
• Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
• Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
• Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Sudden expansion and domain-wall melting of strongly interacting bosons in two-dimensional optical lattices and on multileg ladders
• Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
• Strongly Interacting Atom Lasers in Three Dimensional Optical Lattices
• Dynamics of correlations in shallow optical lattices
• Self trapping in the two-dimensional Bose-Hubbard model
• Propagation of a single hole defect in the one-dimensional Bose-Hubbard model
• Generation of atypical hopping and interactions by kinetic driving
• Dynamical correlation functions from complex time evolution
• Efficiency of fermionic quantum distillation
• Tunneling of a few strongly repulsive hard-sphere bosons in an optical lattice with tight external harmonic confinement: A quantum Monte Carlo investigation in continuous space