Many-body physics with ultracold gases

2007/04/30 by Immanuel Bloch, Jean Dalibard, Wilhelm Zwerger +1 · 34 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.other

paper · pdf · doi:10.1103/revmodphys.80.885

published as Rev. Mod. Phys. 80, 885 (2008) · revised version, accepted for publication in Rev. Mod. Phys

arxiv created 2007/10/17 · openalex publication_date 2008/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

This paper reviews recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation. Strong correlations in fermionic gases are discussed in optical lattices or near-Feshbach resonances in the BCS-BEC crossover.

Citations

• Mean-field treatment of the damping of the oscillations of a one-dimensional Bose gas in an optical lattice
• Quantum coherence of hard-core bosons: Extended, glassy, and Mott phases
• Differences between the Tonks regimes in the continuum and on the lattice
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Nonequilibrium Gross-Pitaevskii dynamics of boson lattice models
• Molecular Probe of Pairing in the BEC-BCS Crossover
• The effect of interactions on Bose-Einstein condensation in a quasi two-dimensional harmonic trap
• Two-Dimensional Bose-Einstein Condensate in an Optical Surface Trap
• Exactly Solvable Model of the BCS-BEC Crossover
• Relative phase of two Bose-Einstein condensates
• Three-Boson Problem near a Narrow Feshbach Resonance
• Attitudes toward adoption by same-sex couples: Do gender roles matter?
• Josephson Junction Arrays with Bose-Einstein Condensates
• High-Temperature Superfluidity of Fermionic Atoms in Optical Lattices
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Giant vortices in combined harmonic and quartic traps
• Existence of Long-Range Order in One and Two Dimensions
• Observation of resonance condensation of fermionic atom pairs
• Appearance of Gauge Structure in Simple Dynamical Systems
• Strong dipolar effects in a quantum ferrofluid
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Structure of a quantized vortex in boson systems
• Vortices and superfluidity in a strongly interacting Fermi gas
• Stationary Entropy Principle and Renormalization in Normal and Superfluid Systems. I. Algebraic Formulation
• Comparison of the Hanbury Brown–Twiss effect for bosons and fermions
• Chaos and Quantum Thermalization
• Sublattice Addressing and Spin-Dependent Motion of Atoms in a Double-Well Lattice
• Collective Excitations of a Degenerate Gas at the BEC-BCS Crossover
• Spin-Charge Separation in Cold Fermi Gases: A Real Time Analysis
• Влияние параметров электретирования на поверхностные и электретные свойства полиэтилентерефталата
• Radio-frequency transitions on weakly bound ultracold molecules
• Formation of Spatial Shell Structure in the Superfluid to Mott Insulator Transition
• Interacting Bose gases in quasi-one-dimensional optical lattices
• Dynamics of Bose-Einstein condensates in optical lattices
• Phase Diagram of a Strongly Interacting Polarized Fermi Gas in One Dimension
• Techniques and Applications of Path Integration
• Zero-temperature damping of Bose-Einstein condensate oscillations by vortex-antivortex pair creation
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Weakly Bound Dimers of Fermionic Atoms
• Tuning the Scattering Length with an Optically Induced Feshbach Resonance
• Dilute Bose gas in two dimensions: Density expansions and the Gross-Pitaevskii equation
• Interference of an Array of Independent Bose-Einstein Condensates
• Off-diagonal long-range order, cycle probabilities, and condensate fraction in the ideal Bose gas
• Boson Mott Insulators at Finite Temperatures
• Fractional Quantum Hall States of Atoms in Optical Lattices
• Ordering, metastability and phase transitions in two-dimensional systems
• Pinning and collective modes of a vortex lattice in a Bose-Einstein condensate
• Quantal phase factors accompanying adiabatic changes
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Path integrals in the theory of condensed helium
• Thermodynamics of a Trapped Unitary Fermi Gas
• Edge excitations and topological order in a rotating Bose gas
• Probing many-body states of ultracold atoms via noise correlations
• Conditions of low dimensionality for strongly interacting atoms under a transverse trap
• Repulsively bound atom pairs in an optical lattice
• Anyons in an exactly solved model and beyond
• Effective Theory of Excitations in a Feshbach-Resonant Superfluid
• Bosonizing one-dimensional cold atomic gases
• Effects of Configuration Interaction on Intensities and Phase Shifts
• Dynamical properties of ultracold bosons in an optical lattice
• Observation of Bose-Einstein Condensation of Molecules
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Resonance Superfluidity in a Quantum Degenerate Fermi Gas
• Vortices in a Bose-Einstein Condensate
• Theory of Superconductivity
• Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
• Stationary Entropy Principle and Renormalization in Normal and Superfluid Systems. II. Diagrammatic Formulation

Cited by

• Interplay of asymmetry and fragmentation in the many-body tunneling dynamics of two-dimensional bosonic Josephson junctions
• Preparation of stable excited states in an optical lattice via sudden quantum quench
• Macroscopic self-trapping in Bose-Einstein condensates: Analysis of a dynamical quantum phase transition
• Microwave-induced Fano-Feshbach resonances
• Thermometry and signatures of strong correlations from Raman spectroscopy of fermionic atoms in optical lattices
• Competition between Anderson Localization and Antiferromagnetism in Correlated Lattice Fermion Systems with Disorder
• Signatures of the superfluid–to–Mott-insulator transition in cold bosonic atoms in a one-dimensional optical lattice
• Devil’s staircases and supersolids in a one-dimensional dipolar Bose gas
• The physics of dipolar bosonic quantum gases
• Robust states of ultra-cold bosons in tilted optical lattices
• Optical lattices for atom-based quantum microscopy
• Finite-momentum superfluidity and phase transitions in ap-wave resonant Bose gas
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model
• Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state
• Inducedp-wave superfluidity in strongly interacting imbalanced Fermi gases
• Universal properties of the ultracold Fermi gas
• Phase diagram of the attractive Hubbard model with inhomogeneous interactions
• Phase-separated ferromagnetism in a spin-imbalanced system of Fermi atoms loaded in an optical ladder: A density-matrix renormalization-group study
• Quench dynamics near a quantum critical point
• Frictionless quantum quenches in ultracold gases: A quantum-dynamical microscope
• Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential
• Polarons and dressed molecules near narrow Feshbach resonances
• Self-consistentT-matrix theory of superconductivity
• The dynamics of the one-dimensional delta-function Bose gas
• Two-channel Feshbach physics in a structured continuum
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Phase-Sensitive Measurements of Order Parameters for Ultracold Atoms through Two-Particle Interferometry
• Universal four-component Fermi gas in one dimension
• Z2Topological Insulators in Ultracold Atomic Gases
• Robust Digital Holography For Ultracold Atom Trapping
• Collapse and revival oscillations as a probe for the tunneling amplitude in an ultracold Bose gas
• Critical Temperature and Condensate Fraction of a Fermion Pair Condensate
• Excitations in two-component Bose gases
• Many-polaron description of impurities in a Bose-Einstein condensate in the weak-coupling regime