Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region

Abstract

We study the crossover between the mean-field and critical behavior of the two-dimensional Bose gas throughout the fluctuation region of the Berezinskii--Kosterlitz--Thouless phase transition point. We argue that this crossover is described by universal (for all weakly interacting |psi|^4 models) relations between thermodynamic parameters of the system, including superfluid and quasi-condensate densities. We establish these relations with high-precision Monte Carlo simulations of the classical |psi|^4 model on a lattice, and check their asymptotic forms against analytic expressions derived on the basis of the mean-field theory.

Revtex, 8 pages, 8 figures; submitted to Phys. Rev. A; extended discussion of effective interaction and of a trapped gas; corrected typo in Eq. (32)

Cited by in corpus (150)

• Many-Body Physics with Ultracold Gases
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Observation of scale invariance and universality in two-dimensional Bose gases
• Observation of a 2D Bose-gas: from thermal to quasi-condensate to superfluid
• Superfluid behaviour of a two-dimensional Bose gas
• Supersolid phase of hardcore bosons on triangular lattice
• Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas
• Observation of pair condensation in the quasi-2D BEC-BCS crossover
• Exploring the thermodynamics of a two-dimensional Bose gas
• Weakly Interacting, Dilute Bose Gases in 2D
• Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
• Superfluid transition in quasi2D Fermi gases
• Polaritons are Not Weakly Interacting: Direct Measurement of the Polariton-Polariton Interaction Strength
• Observation of the Presuperfluid Regime in a Two-Dimensional Bose Gas
• Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
• The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
• Sound propagation in a uniform superfluid two-dimensional Bose gas
• Universal equation of state and pseudogap in the two-dimensional Fermi gas
• Lattice supersolid phase of strongly correlated bosons in an optical cavity
• Observation of first and second sound in a BKT superfluid
• Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
• The equilibrium state of a trapped two-dimensional Bose gas
• Bogoliubov Excitations of Disordered Bose-Einstein Condensates
• Strongly Interacting Two-Dimensional Bose Gases
• The Stochastic Gross-Pitaevskii Equation and some Applications
• Atomic Bose-Einstein condensate to molecular Bose-Einstein condensate transition
• Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
• Connecting Berezinskii-Kosterlitz-Thouless and BEC phase transitions by tuning interactions in a trapped gas
• Vortex pairing in two-dimensional Bose gases
• When Superconductivity Crosses Over: From BCS to BEC
• A comparison between microscopic methods for finite temperature Bose gases
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• Universal thermodynamics of a two-dimensional Bose gas
• The effect of population imbalance on the Berezinskii-Kosterlitz-Thouless phase transition in a superfluid Fermi gas
• Geometric Frustration and Dimensional Reduction at a Quantum Critical Point
• Coherence properties of a 2D trapped Bose gas around the superfluid transition
• Collisionless sound in a uniform two-dimensional Bose gas
• Competing orders in thermally fluctuating superconductors in two dimensions
• Beliaev technique for a weakly interacting Bose gas
• Effect of disorder close to the superfluid transition in a two-dimensional Bose gas
• Fit-free determination of scale invariant equations of state: application to the 2D Bose gas across the Berezinksii-Kosterlitz-Thouless transition
• Superfluidity of an interacting trapped quasi-2D Bose gas
• Superfluid Bose gas in two dimensions
• Stability of the two-dimensional Bose gases in the resonant regime
• Finite temperature analysis of a quasi2D dipolar gas
• Quantum Geometric Contributions to the BKT Transition: Beyond Mean Field Theory
• Pseudogap and preformed pairs in the imbalanced Fermi gas in two dimensions
• Condensate density and superfluid mass density of a dilute Bose gas near the condensation transition
• Discontinuities in the First and Second Sound Velocities at the Berezinskii-Kosterlitz-Thouless Transition
• Phases of a bilayer Fermi gas
• Observation of the BKT Transition in a 2D Bose Gas via Matter-Wave Interferometry
• Universal correlations and coherence in quasi-two-dimensional trapped Bose gases
• Ab initio methods for finite temperature two-dimensional Bose gases
• Thermodynamics in the vicinity of a relativistic quantum critical point in 2+1 dimensions
• A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions
• Disorder-Driven Loss of Phase Coherence in a Quasi-2D Cold Atom System
• Nonperturbative renormalization group treatment of amplitude fluctuations for $|\phi {|}^4$ topological phase transitions
• Dimensional crossover of nonrelativistic bosons
• Universal Scaling of the Dynamic BKT Transition in Quenched 2D Bose Gases
• Quantitative study of quasi-one-dimensional Bose gas experiments via the stochastic Gross-Pitaevskii equation
• Josephson junction dynamics in a two-dimensional ultracold Bose gas
• Quench dynamics of an ultracold two-dimensional Bose gas
• Spatial Correlation Functions of one-dimensional Bose gases at Equilibrium
• Superfluidity and relaxation dynamics of a laser-stirred 2D Bose gas
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
• Second sound in 2D Bose gas: from the weakly interacting to the strongly interacting regime
• A Non-Perturbative Renormalization Group approach to quantum XY spin models
• Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
• Persistent current formation in double-ring geometries
• Tan's two-body contact across the superfluid transition of a planar Bose gas
• Effect of spatial resolution on the estimates of the coherence length of excitons in quantum wells
• Shell-shaped atomic gases
• Spectrum and thermal fluctuations of a microcavity polariton Bose-Einstein condensate
• Shapiro steps in driven atomic Josephson junctions
• Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas
• Collisionless Dynamics in Two-Dimensional Bosonic Gases
• Classical field theory limit of many-body quantum Gibbs states in 2D and 3D
• Quantum critical dynamics of the two-dimensional Bose gas
• Quantized conductance through the quantum evaporation of bosonic atoms
• Full counting statistics of the interference contrast from independent Bose-Einstein condensates
• Quasi-condensation in two-dimensional Fermi gases
• Coherence measurements of polaritons in thermal equilibrium reveal a power law for two-dimensional condensates
• Finite Temperature Phases of Two Dimensional Spin-Orbit Coupled Bosons
• Finite temperature spin dynamics of a two-dimensional Bose-Bose atomic mixture
• Finite Temperature Phase Diagram of Quasi-Two-Dimensional Imbalanced Fermi Gases Beyond Mean-Field
• Polarized polariton condensates and coupled XY models
• Condensation and quasicondensation in an elongated three-dimensional Bose gas
• Quasi-long-range order in trapped two-dimensional Bose gases
• Quantum and Thermal Transitions Out of the Pair-Supersolid Phase of Two-Species Bosons in Lattice
• Collective modes and superfluidity of a two-dimensional ultracold Bose gas
• Signatures of a universal jump in the superfluid density in two-dimensional Bose gas with finite number of particles
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
• Application of the functional renormalization group to Bose gases: from linear to hydrodynamic fluctuations
• Transition region properties of a trapped quasi-two-dimensional degenerate Bose gas
• Magneto-caloric effects, quantum critical points, and the Berezinsky-Kosterlitz-Thouless transition in 2D coupled spin dimer systems
• Defect-Driven Superfluid Crossover for Two-Dimensional Dipolar Excitons Trapped at Thermodynamic Equilibrium
• Universal Coarsening in a Homogeneous Two-Dimensional Bose Gas
• Sound propagation in a two-dimensional Bose gas across the superfluid transition
• Observation of Algebraic Time Order for Two-Dimensional Dipolar Excitons
• Phase transition dimensionality crossover from two to three dimensions in a trapped ultracold atomic Bose gas
• Second sound with ultracold atoms: A brief historical account
• Hidden long-range order in a spin-orbit coupled two-dimensional Bose gas
• Finite Temperature Off-Diagonal Long-Range Order for Interacting Bosons
• Mean-field description of pairing effects, BKT physics, and superfluidity in 2D Bose gases
• Berezinskii-Kosterlitz-Thouless phase transition with Rabi-coupled bosons
• Thermodynamics of Bose gases from functional renormalization with a hydrodynamic low-energy effective action
• Thermal compression of atomic hydrogen on helium surface
• Quantitative test of mean-field description of a trapped two-dimensional Bose gas
• Phase diagrams of 2D and 3D disordered Bose gases in the local density approximation
• Noise correlations of two-dimensional Bose gases
• Sound modes in collisional superfluid Bose gases
• Exploring the Berezinskii-Kosterlitz-Thouless Transition in a Two-dimensional Dipolar Bose Gas
• Temperature dependence of the coherence in polariton condensates
• Emergence of Luttinger Liquid behavior of a superclimbing dislocation
• Collective pairing of resonantly coupled microcavity polaritons
• Phase Transitions in Ultra-Cold Two-Dimensional Bose Gases
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Coherence of a non-equilibrium polariton condensate across the interaction-mediated phase transition
• Dynamical Kosterlitz-Thouless Theory for Two-Dimensional Ultracold Atomic Gases
• Searching for Unconventional Superfluid in Excitons of Monolayer Semiconductors
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Thermal suppression of demixing dynamics in a binary condensate
• Strong pairing in two dimensions: Pseudogaps, domes, and other implications
• Berezinskii-Kosterlitz-Thouless transitions in an easy-plane ferromagnetic superfluid
• First and second sound in a two-dimensional dilute Bose gas across the Berezinskii-Kosterlitz-Thouless transition
• Quasi-molecular bosonic complexes -- a pathway to atomic analog of SQUID with controlled sensitivity
• Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
• Universal Properties of Anisotropic Dipolar Bosons in Two Dimensions
• First and second sound in a dilute Bose gas across the BKT transition
• Berezinskii-Kosterlitz-Thouless transitions in a ferromagnetic superfluid: effects of axial magnetization
• Resonant light scattering by a slab of ultracold atoms
• Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
• Thermodynamics and renormalized quasi-particles in the vicinity of the dilute Bose gas quantum critical point in two dimensions
• Effect of Disorder on the Superfluid Transition in Two-Dimensional Systems
• Conductivity of thermally fluctuating superconductors in two dimensions
• Determination of polariton condensates' critical temperature
• Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
• Designing Atomtronic Circuits via Superfluid Dynamics
• Vortex Formation in Two-Dimensional Bose Gas
• Two-dimensional Bose and Fermi gases beyond weak coupling
• Berezinskii-Kosterlitz-Thouless transition in a photonic lattice
• Collisionless sound of bosonic superfluids in lower dimensions
• Observation of the universal jump across the Berezinskii-Kosterlitz-Thouless transition in two-dimensional Bose gases
• Atomic Josephson Parametric Amplifier
• Finite-frequency normal and superfluid drag effects in two-component atomic Bose-Einstein condensates
• Quantum phases of hard-core dipolar bosons in coupled 1D optical lattices
• Preparation of quasi-two-dimensional Bose mixture of ultracold ${}^{23}$Na and ${}^{87}$Rb atoms
• On the remote coherence of polariton condensates in 1D microcavities: a photoluminescence study
• Quench induced collective excitations: from breathing to acoustic modes