Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
arXiv:cond-mat/0606771 · doi:10.1080/00018730701223200
Abstract
We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed matter phenomena. We show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics. After a short presentation of the models and the methods of treatment of such systems, we discuss in detail, which challenges of condensed matter physics can be addressed with (i) disordered ultracold lattice gases, (ii) frustrated ultracold gases, (iii) spinor lattice gases, (iv) lattice gases in "artificial" magnetic fields, and, last but not least, (v) quantum information processing in lattice gases. For completeness, also some recent progress related to the above topics with trapped cold gases will be discussed.
Review article. v2: published version, 135 pages, 34 figures
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- Quantum Magnetism with Mesoscopic Bose-Einstein Condensates
- Magnetic phase diagram and quantum phase transitions in a two-species boson model
- Bloch oscillations of multi-magnon excitations in a Heisenberg XXZ chain
- Charge dynamics of a molecular ion immersed in a Rydberg-dressed atomic lattice gas
- Nonstabilizerness dynamics in many-body localized systems
- Engineering active motion in quantum matter
- Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
- Dynamical gauge fields with bosonic codes
- Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
- Floquet solitons and dynamics of periodically driven matter waves with negative effective mass
- Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition
- Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
- Quantum Atom Optics: Theory and Applications to Quantum Technology
- Critical temperature of a Bose gas in an optical lattice
- Geometrical, topological and dynamical description of interacting spin- under long-range Ising model and their interplay with quantum entanglement
- Effects of periodic potentials on the critical velocity of superfluid Fermi gases in the BCS-BEC crossover
- Magnetic phases of spin-3/2 fermions on a spatially anisotropic square lattice
- Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
- Accumulative reservoir construction: Bridging continuously relaxed and periodically refreshed extended reservoirs
- Effective Floquet model for minimally twisted bilayer graphene
- Investigating Effects of Relativistic Kinematics, Dimensionality, Interactions, and Short-Range Correlations on the Ratio of Quartic over Quadratic Nuclear Symmetry Energies
- Mean-field approaches to the Bose-Hubbard model with three-body local interaction
- Coupled two-component atomic gas in an optical lattice
- Topological matter with collective encoding and Rydberg blockade
- Motion-induced enhancement of Rabi coupling between atomic ensembles in cavity optomechanics
- Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
- Stripe Formation in Fermionic Atoms on 2-D Optical Lattice inside a Box Trap: DMRG Studies for Repulsive Hubbard Model with Open Boundary Condition
- One- and two-dimensional reductions of the mean-field description of degenerate Fermi gases
- Simulation of frustrated classical XY models with ultra-cold atoms in 3D triangular optical lattices
- Detecting high-dimensional entanglement in cold-atom quantum simulators
- Designing refrigerators in higher dimensions using quantum spin models
- Ultra-large Rydberg dimers in optical lattices
- Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
- Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics
- Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
- Magnetic Phases of Spatially-Modulated Spin-1 Chains in Rydberg Excitons: Classical and Quantum Simulations
- Feshbach resonances in a nonseparable trap
- Collective Light Emission of a Finite Size Atomic Chain
- Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
- Detection of Berezinskii-Kosterlitz-Thouless transition via Generative Adversarial Networks
- Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
- Experimental realization of a high precision tunable hexagonal optical lattice
- Controlled preparation of phases in two-dimensional time crystals
- Quantum phases of dipolar bosons in multilayer optical lattice
- Exact Dynamics of Multicomponent Bose-Einstein Condensates in Optical Lattices in One, Two and Three Dimensions
- Fault-tolerant breathing pattern in optical lattices as a dynamical quantum memory
- Superfluid to Mott-insulator transition of cold atoms in optical lattices
- Detection of unbroken phase of non-Hermitian system via Hermitian factorization surface
- Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field
- Creating superfluid vortex rings in artificial magnetic fields
- Predicting topological quantum phase transition from dynamics via multisite entanglement
- Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
- Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
- Fast and High-Yield Loading of a D MOT of Potassium from a Cryogenic Buffer Gas Beam
- Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations
- Structural transitions of nearly second order in classical dipolar gases
- Compensation and its systematics in spin-1/2 Ising trilayered triangular ferrimagnet
- Charge Oscillations in Superconducting Nanodevices Coupled to External Environments
- Circulating Genuine Multiparty Entanglement in Quantum Network
- Measurement-based Multipartite Entanglement Inflation
- Long-range magnetic order and interchain interactions in the chain system MnCl(bpy)
- Matter-wave scattering from interacting bosons in an optical lattice
- Transmission in graphene through a double laser barrier
- Flat-band-induced superconductivity in synthetic bilayer optical lattices
- Evidence for Quantum Stripe Ordering in a Triangular Optical Lattice
- Tuning a magnetic Feshbach resonance with spatially modulated laser light
- Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
- Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
- Future Directions for Active Matter on Ordered Substrates
- Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
- Nondestructive dispersive imaging of rotationally excited ultracold molecules
- A Perspective on Collective Properties of Atoms on 2D Materials
- Mixing thermal coherent states for precision and range enhancement in quantum thermometry
- Hole Localization in One-Dimensional Doped Anderson-Hubbard Model
- Heteronuclear quantum gas mixtures
- Phases of d-orbital bosons in optical lattices
- Spin dynamics across the superfluid-insulator transition of spinful bosons
- Unveiling Eigenstate Thermalization for Non-Hermitian systems
- Symmetric quantum states: a review of recent progress
- Two rate periodic protocol with dynamics driven through many cycles
- Instabilities of interacting matter waves in optical lattices with Floquet driving
- Simulation of gauge transformations on systems of ultracold atoms
- Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
- Strain-induced superfluid transition for atoms on graphene
- Tunneling properties of a bound pair of Fermi atoms in an optical lattice
- Dynamic trapping near a quantum critical point
- Cluster Mean Field plus Density Matrix Renormalization theory for the Bose Hubbard Model
- Realizing the strongly correlated -Mott state in a fermionic cold atom optical lattice
- Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
- Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
- Valence bond supersolid in a bilayer extended Bose Hubbard model
- Spin-Induced Orbital Frustration in a Hexagonal Optical Lattice
- Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap
- Anomalous decoherence and absence of thermalization in a photonic many-body system
- Quantized electromagnetic response of three-dimensional chiral topological insulators
- Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles
- Comprehensive characterization of an apparatus for cold electromagnetic dysprosium dipoles
- Models for a multimode bosonic tunneling junction
- Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
- Spectral Signatures of Vibronic Coupling in Trapped Cold Ionic Rydberg Systems
- Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
- Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU()-Symmetric Cold Atom Mixtures
- One-dimensional s-p superlattice
- Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
- The superconducting circuit companion -- an introduction with worked examples
- Honeycomb supersolid -- Dirac points and shear-instability induced crystal transitions
- Entanglement and algebraic independence in fermion systems
- Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices
- Nonmesonic Quantum Many-Body Scars in a 1D Lattice Gauge Theory
- Dual nature of localization in guiding systems with randomly corrugated boundaries: Anderson-type versus entropic
- Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
- Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures
- Dimer states in atomic mixtures
- Atoms in a spin dependent optical potential: ground state topology and magnetization
- Probing -Spin Correlations in Optical Lattices
- Layer-by-layer assembly of multilayer optical lattices: Application to displaced dice lattice
- The rotor Jackiw-Rebbi model: a cold-atom approach to chiral symmetry restoration and quark confinement
- Effects of inert background gases and photo-illumination on three-color electromagnetically induced transparency of rubidium vapor
- Symmetry-enriched Bose-Einstein condensates in spin-orbit coupled bilayer system
- Enhancing precision of atomic clocks by tuning disorder in accessories
- Increasing superconducting by layering in the attractive Hubbard model
- Effective orbital ordering in multiwell optical lattices with fermionic atoms
- Controlling higher-orbital quantum phases of ultracold atoms via coupling to optical cavities
- Quantum Control of d-Dimensional Quantum Systems with Application to Alkali Atomic Spins
- Loading and detecting a three-dimensional Fermi gas in one-dimensional optical superlattice
- How to seed ergodic dynamics of interacting bosons under conditions of many-body quantum chaos
- Beyond-mean-field corrections for dipolar bosons in an optical lattice
- Operator correlations in a quenched non-Hermitian Luttinger liquid
- Imaginary-Temperature Zeros for Quantum Phase Transitions
- Spin-asymmetric Josephson plasma oscillations
- Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
- Quantum measuring processes for trapped ultracold bosonic gases
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- Competing Valence Bond States of Spin-3/2 Fermions on a Strongly Coupled Ladder
- Assessing Quantum Thermalization in Physical and Configuration Spaces via Many-Body Weak Values
- Mapping generalized Jaynes-Cummings interaction into correlated finite-sized systems
- Ultracold collisions of molecules
- Phase diagram of imbalanced strongly interacting fermions on a one-dimensional optical lattice
- Ground states of one-dimensional dipolar lattice bosons at unit filling
- Phase diagram of hard core bosons with anisotropic interactions
- Two ultracold highly magnetic atoms in a one-dimensional harmonic trap
- Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
- Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
- Commensurate and incommensurate 1D interacting quantum systems
- Stability of supercurrents in a superfluid phase of spin-1 bosons in an optical lattice
- Advancing Quantum Otto Engine Performance via Additional Magnetic Field and Effective Negative Temperature
- Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
- Confinement-Induced Enhancement of Superconductivity in a Spin- Fermion Chain Coupled to a Lattice Gauge Field
- Dynamics of a quantum quench in an ultra-cold atomic BCS superfluid
- Perfect quantum state transfer of hard-core bosons on weighted path graphs
- Localization landscape for interacting Bose gases in one-dimensional speckle potentials
- Hybrid nonlocality via atom photon interactions with and without impurities
- Staggered quantum phases of dipolar bosons at finite temperatures
- The Future of the Correlated Electron Problem
- Instability of QBC systems to Topological Anderson Insulating phases
- Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
- Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices
- Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
- Two-particle States in One-dimensional Coupled Bose-Hubbard Models
- Spin mixing in colliding spinor condensates: formation of an effective barrier
- DanceQ: High-performance library for number-conserving bases
- Route towards classical frustration and band flattening via optical lattice distortion
- Controllable diffusion of cold atoms in a harmonically driven and tilted optical lattice: Decoherence by spontaneous emission
- Deconfined quantum criticality of frustrated hard-core dipolar bosons
- Open dynamics in the Aubry-André-Harper model coupled to a finite bath: the influence of localization in the system and dimensionality of bath
- Thermal Entropy, Density Disorder and Antiferromagnetism of Repulsive Fermions in 3D Optical Lattice
- Cooling ultracold bosons in optical lattices by spectral transform
- Out-of-equilibrium dynamics of Bose-Bose mixtures in optical lattices
- Long-lived mesoscopic entanglement between two damped infinite harmonic chains
- -symmetry phase transition in a Bose-Hubbard model with localized gain and loss
- Interaction induced Anderson transition in a kicked one dimensional Bose gas
- Active Rheology and Anti-Commensuration Effects For Driven Probe Particles on Two Dimensional Periodic Pinning Substrates
- Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
- One-Dimensional Disordered Bosonic Systems
- Localized modes in two-dimensional Schroedinger lattices with a pair of nonlinear sites
- Effective time-reversal via periodic shaking
- Many-Body Entanglement in Solid-State Emitters
- Quantum resources in Harrow-Hassidim-Lloyd algorithm
- Exact diagonalization using hierarchical wave functions and calculation of topological entanglement entropy
- Dimensional crossover in self-organised super-radiant phases of ultra cold atoms inside a cavity
- Noise induced interference fringes in trapped ultracold bosonic gases
- Spin-orbit-coupling-induced magnetic heterostructure in the bilayer Bose-Hubbard system
- Effective field theory of bosons with finite-range interaction in a disordered environment
- Evidence from on-site atom number fluctuations for a quantum Berezinskii-Kosterlitz-Thouless transition in the one-dimensional Bose-Hubbard model
- Stabilizing Topological Superfluidity of Lattice Fermions
- Sieve of Eratosthenes for Bose-Einstein Condensates in Optical Moiré Lattices
- Spin-flip induced superfluidity in a ring of spinful hard-core bosons
- Collective Oscillations of Bose-Einstein Condensates in a Synthetic Magnetic Field
- Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems
- Energy diffusion in the long-range interacting spin systems
- Enhancing the Charging Performance of Many-Body Quantum Batteries through Landau-Zener Driving
- Effective tight-binding models in optical moiré potentials
- Propagation of two-particle correlations across the chaotic phase for interacting bosons
- Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
- Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution
- Many-body tunneling in a double-well potential
- Engineering a multi-level bath for transmons with three-wave mixing and parametric drives
- Precision measurement for open systems by non-hermitian linear response
- Excitation Spectra and Hard-core Thermodynamics of Bosonic Atoms In Double Well Optical Lattices
- Nonlocal order parameter of pair superfluids
- Entanglement of weighted graphs uncovers transitions in variable-range interacting models
- Spin-charge correlations in finite one-dimensional multi-band Fermi systems
- Formation of paired phases of bosons and their excitations in a square lattice
- Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
- Distribution of entanglement with variable range interactions
- Quantum simulation of quantum mechanical system with spatial noncommutativity
- State diagram and the phase transition of -bosons in a square bi-partite optical lattice
- Magnetic properties of commensurate Bose-Bose mixtures in one-dimensional optical lattices
- Anomalous Flux Quantization in the Spin-Imbalanced Attractive Hubbard Ring
- Resonant enhancement of three-body loss between strongly interacting photons
- Poincaré crystal on the one-dimensional lattice
- Mesoscopic Aspects of Strongly Interacting Cold Atoms
- Photonic Nambu-Goldstone bosons
- One-Dimensional Quantum Systems - From Few to Many Particles
- Polarization-induced phase separation and re-entrant transition of two component-fermions in a one-dimensional lattice
- Characterization of the chaotic phase in the tilted Bose-Hubbard model
- Detecting the tunneling rates for strongly interacting fermions on optical lattices
- Two-particle topological Thouless spin pump
- Quantum thermophoresis
- Quantum Hall states for in optical lattices
- Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
- Tradeoff between noise and banding in a quantum adder with qudits
- Spin Excitation Spectra of Spin-Orbit Coupled Bosons in Optical Lattice
- Toward Quantum Analog Simulation of Many-Body Supersymmetry with Rydberg Atom Arrays
- One dimensional Bose-Hubbard model with long range hopping
- Bosonic Weyl excitations induced by -orbital interactions in a cubic optical lattice
- Ballistic Entanglement Cloud after a Boundary Quench
- Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas
- Phase diagram of a QED-cavity array coupled via a N-type level scheme
- Few-Photon Fluorescence from Ultracold Bosons in an Optical Cavity
- Testing of spin ordering Hamiltonian with ultracold atoms in optical lattices
- Microscopic theory of the Hubbard interaction in low-dimensional optical lattices
- Sensing atomic superfluid rotation beyond the standard quantum limit
- Inelastic scattering of atoms in a double well
- Modularized and Scalable Compilation for Double Quantum Dot Quatum Computing
- Evaluating second-order phase transitions with Diagrammatic Monte Carlo: Néel Transition in the doped three-dimensional Hubbard model
- Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
- Kinetic energy equipartition: a tool to characterize quantum thermalization
- Quantum emulation of topological magneto-optical effects using ultracold atoms
- Optical lattice quantum simulator of dynamics beyond Born-Oppenheimer
- Emulation of magneto-optic Faraday effect using ultracold atoms
- Quantum Adiabatic Doping for Atomic Fermi-Hubbard Quantum Simulations
- symmetry breaking in quantum antiferromagnets
- Finite temperature phases and excitations of bosons on a square lattice: A cluster mean field study
- Condensed matter physics in big discrete time crystals
- Effects of site dilution on Compensation in Ising Spin-1/2 trilayered triangular Ferrimagnets with non-equivalent planes
- On Hydrodynamic Correlations in Low-Dimensional Interacting Systems
- Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
- Liouville Fock state lattices and potential simulators
- Tilt-Induced Localization in Interacting Bose-Einstein Condensates for Quantum Sensing
- An Exclusion Principle for Sum-Free Quantum Numbers
- Bose-Einstein condensate sub-wavelength confinement via superoscillations
- Quantum Hall correlations in tilted extended Bose-Hubbard chains
- Lellouch-Lüscher relation for ultracold few-atom systems under confinement
- Strong parameter renormalization from optimum lattice model orbitals
- Emergent Bell Phase in an Electro-Nanomechanical Quantum Simulator
- Dephasing-induced Quantum Hall Criticality in the Quantum Anomalous Hall system
- Topological phases of bosons with local parity coupling on a dimerized lattice
- Dimensional crossover of bound complexes in a two-species Bose-Hubbard lattice: Correlations and dynamics
- Limits of Clifford Disentangling in Tensor Network States
- Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
- Barenco gate implementation using driven two- and three-qubit spin chains
- Trion ordering in the attractive three-color Hubbard model on a -flux square lattice
- Isospin Correlations in two-partite Hexagonal Optical Lattices
- Emergence of a superglass phase in the random hopping Bose-Hubbard model
- Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator
- Interferometric Measurement of Local Spin-Fluctuations in a Quantum Gas
- Roundtable: What can we learn about confinement and anomalous effects in QCD using analog systems?
- Bohmian analysis of dark solutions in interfering Bose-Einstein condensates: The dynamical role of underlying velocity fields
- Statistical properties of the off-diagonal matrix elements of observables in eigenstates of integrable systems
- Shared purity and concurrence of a mixture of ground and low-lying excited states as indicators of quantum phase transitions
- High-performance, additively-manufactured atomic spectroscopy apparatus for portable quantum technologies
- On the direct diagonalization method for a few particles trapped in harmonic potentials
- Prolegomena to a hybrid classical/Rydberg simulator for hadronization (QuPyth)
- Hierarchies among genuine multipartite entangling capabilities of quantum gates
- Local energy density functional for superfluid Fermi gases from effective field theory
- Transmissions in gapped graphene exposed to tilting and oscillating barriers
- Cavity optomechanics with ultra-cold Bose gases for quasiparticle state manipulation and prospects for sensing applications
- Shareability of Quantum Correlations in a Many-Body Spin System with Two- and Three-Body Interactions
- How to calculate quantum quench distributions with a weighted Wang-Landau Monte Carlo
- Coherent pair injection as a route towards the enhancement of supersolid order in many-body bosonic models
- Interaction between hopping and static spins in a discrete network
- Breached pair superfluidity: a brief review
- Rate Function Modelling of Quantum Many-Body Adiabaticity
- Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices
- Detecting degenerate bands topological invariants in optical lattice
- Higher-order topological quantum paramagnets
- Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates
- A self-consistent Hartree-Fock approach for interacting bosons in optical lattices
- Proposal for realizing and probing topological crystalline insulators in optical lattices
- Third quantization with Hartree approximation for open-system bosonic transport
- General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases
- Machine Learning out of equilibrium correlations in the Bose-Hubbard model
- Operator entanglement in -symmetric dissipative quantum many-body dynamics
- Optical lattice with spin-dependent sub-wavelength barriers
- Accurate simulation and thermal tuning by temperature-adaptive boundary interactions on quantum many-body systems
- Probing dielectric breakdown in Mott insulators through current oscillations
- Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
- Efficient shortcuts-to-adiabaticity for loading an ultracold Fermi gas into higher orbital bands of one-dimensional optical lattice
- Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
- High-Precision Phase Control of an Optical Lattice with up to 50 dB Noise Suppression
- Comparative analysis of robust entanglement generation in engineered XX spin chains
- Optimized Observable Readout from Single-shot Images of Ultracold Atoms via Machine Learning
- Two dimensional sub-wavelength topological dark state lattices