Spatial correlations of trapped 1d bosons in an optical lattice

Abstract

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice sites. It is shown that a properly rescaled one-particle density matrix characterizes superfluid versus insulating states just as in the homogeneous system. For typical parabolic traps we also confirm the widely used local density approach for describing correlations in the limit of weak interaction. Finally, we note that the superfluid to Mott-insulating transition is seen most directly in the half width of the interference peak.

References in corpus (12)

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• Cold bosonic atoms in optical lattices
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Cited by in corpus (98)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group
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• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes
• Strongly inhibited transport of a 1D Bose gas in a lattice
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• Glassy behavior in a binary atomic mixture
• Bosons in one-dimensional incommensurate superlattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Dynamic properties of the one-dimensional Bose-Hubbard model
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Ultracold bosons with short-range interaction in regular optical lattices
• Coherent and dissipative dynamics at quantum phase transitions
• Dynamics of the superfluid to Mott insulator transition in one dimension
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• State diagrams for harmonically trapped bosons in optical lattices
• Sudden expansion of Mott insulators in one dimension
• Interacting Bose gases in quasi-one dimensional optical lattices
• Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice
• Bose-Hubbard phase diagram with arbitrary integer filling
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• One-dimensional density waves of ultracold bosons in an optical lattice
• Quantum phases of interacting phonons in ion traps
• Temperature changes when adiabatically ramping up an optical lattice
• Process chain approach to the Bose-Hubbard model: Ground-state properties and phase diagram
• Energy absorption of a Bose gas in a periodically modulated optical lattice
• Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices
• Non-equilibrium coherence dynamics of a soft boson lattice
• Trapping and cooling fermionic atoms into the Mott and Néel states
• Impurity transport through a strongly interacting bosonic quantum gas
• Equilibrium and off-equilibrium trap-size scaling in 1D ultracold bosonic gases
• Finite temperature study of bosons in a two dimensional optical lattice
• Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
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• Criticality in Trapped Atomic Systems
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• Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
• Direct mapping of the finite temperature phase diagram of strongly correlated quantum models
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
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• Quench-induced resonant tunneling mechanisms of bosons in an optical lattice with harmonic confinement
• Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime
• Local density approximation for confined bosons in an optical lattice
• Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems
• 1D Bose Gases in an Optical Lattice
• Temperature in One-Dimensional Bosonic Mott insulators
• Formation of Matter-Wave Polaritons in an Optical Lattice
• Atom-atom correlations in time-of-flight imaging of ultra-cold bosons in optical lattices
• A cavity-induced artificial gauge field in a Bose-Hubbard ladder
• Density-induced processes in quantum gas mixtures in optical lattices
• Superfluidity in the 1D Bose-Hubbard Model
• Pseudo-fermionization of 1-D bosons in optical lattices
• One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis
• Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices
• Resonant Feshbach scattering of fermions in one-dimensional optical lattices
• Extended self-energy functional approach for strongly-correlated lattice bosons in the superfluid phase
• Information measures for a local quantum phase transition: Lattice fermions in a one-dimensional harmonic trap
• Time evolution during and after finite-time quantum quenches in Luttinger liquids
• Localization and Anomalous Transport in a 1-D Soft Boson Optical Lattice
• Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
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• Unconventional quantum phases of lattice bosonic mixtures
• The Talbot effect in the presence of interactions
• Strong coupling expansion for the Bose-Hubbard and the Jaynes-Cummings lattice model
• Phases of Bosons or Fermions in confined optical lattices
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• Fermionized photons in the ground state of one-dimensional coupled cavities
• Scaling behaviour of trapped bosonic particles in two dimensions at finite temperature
• Thermodynamics of Adiabatically Loaded Cold Bosons in the Mott Insulating Phase of One-Dimensional Optical Lattices
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• Super- and subradiant dynamics of quantum emitters mediated by atomic matter waves
• Heteronuclear quantum gas mixtures
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• Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
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• Nature of Intermediate States between Superfluid and Mott insulator for Interacting Bosons in One-dimension with a Harmonic Trapping Potential
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• Finite temperature superfluid transition of strongly-correlated lattice bosons in various geometries
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• Composite pairing and superfluidity in a one-dimensional resonant Bose-Fermi mixture