Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime

Abstract

In an effort to address integrability breaking in cold gas experiments, we extend the integrable hydrodynamics of the 1d Lieb-Liniger model with two additional components representing the population of atoms in the first and second transverse excited states, thus enabling a description of quasi-1d condensates. Collisions between different components are accounted for through the inclusion of a Boltzmann-type collision integral in the hydrodynamic equation. Contrary to standard generalized hydrodynamics, our extended model captures thermalization of the condensate at a rate consistent with experimental observations from a quantum Newton's cradle setup.

23 pages, 13 figures

References in corpus (79)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group
• Thermalization and its mechanism for generic isolated quantum systems
• Nonequilibrium dynamics of closed interacting quantum systems
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Relaxation and Pre-thermalization in an Isolated Quantum System
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
• Experimental Observation of a Generalized Gibbs Ensemble
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Time evolution of local observables after quenching to an integrable model
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Breakdown of thermalization in finite one-dimensional systems
• Local emergence of thermal correlations in an isolated quantum many-body system
• Bosonizing one-dimensional cold atomic gases
• Generalized HydroDynamics on an Atom Chip
• Hydrodynamic Diffusion in Integrable Systems
• Extension of Bogoliubov theory to quasi-condensates
• Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Soliton gases and generalized hydrodynamics
• On solving quantum many-body problems by experiment
• Yang-Yang thermodynamics on an atom chip
• Thermalization near integrability in a dipolar quantum Newton's cradle
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Quantum quench in an atomic one-dimensional Ising chain
• The Quench Action
• Microscopic origin of ideal conductivity in integrable quantum models
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• A note on generalized hydrodynamics: inhomogeneous fields and other concepts
• Phase-fluctuating 3D condensates in elongated traps
• Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
• Drude Weight for the Lieb-Liniger Bose Gas
• Prethermalization and Thermalization in Isolated Quantum Systems
• Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
• Generalized hydrodynamics with space-time inhomogeneous interactions
• Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
• Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
• Diffusive hydrodynamics from integrability breaking
• Observation of Dynamical Fermionization
• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Finite temperature correlations in the Lieb-Liniger 1D Bose gas
• Non-Equilibrium Dynamics and Weakly Broken Integrability
• Exact large-scale correlations in integrable systems out of equilibrium
• Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
• Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
• Correlation functions of integrable models: a description of the ABACUS algorithm
• Thermalisation of a trapped one-dimensional Bose gas via diffusion
• A Numerical Renormalization Group for Continuum One-Dimensional Systems
• Fluctuations in ballistic transport from Euler hydrodynamics
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Heating rates for an atom in a far-detuned optical lattice
• Generalised hydrodynamics with dephasing noise
• Momentum-resolved study of an array of 1D strongly phase-fluctuating Bose gases
• Momentum distribution and correlation function of quasicondensates in elongated traps
• Thermalization in a quasi-1D ultracold bosonic gas
• Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Separation of Timescales in a Quantum Newton's Cradle
• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
• Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature
• Gap solitons in a model of a superfluid fermion gas in optical lattices
• Hydrodynamics of nonintegrable systems from a relaxation-time approximation
• Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
• Relaxation of Bosons in One Dimension and the Onset of Dimensional Crossover
• Euler-scale dynamical correlations in integrable systems with fluid motion
• Probing quasi-integrability of the Gross-Pitaevskii equation in a harmonic-oscillator potential
• Equilibrium thermodynamic properties of interacting two-component bosons in one dimension
• Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases
• Energy-dependent 3-body loss in 1D Bose gases
• Dynamics and kinetics of quasiparticle decay in a nearly-one-dimensional degenerate Bose gas
• The effect of optical lattice heating on the momentum distribution of a 1D Bose gas

Cited by in corpus (59)

• Generalized hydrodynamics in strongly interacting 1D Bose gases
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Hydrodynamics of weak integrability breaking
• Stability of superdiffusion in nearly integrable spin chains
• Ballistic macroscopic fluctuation theory
• Onset of many-body quantum chaos due to breaking integrability
• Generalized hydrodynamics of the KdV soliton gas
• Emergence of hydrodynamic spatial long-range correlations in nonequilibrium many-body systems
• Anomalous transport from hot quasiparticles in interacting spin chains
• Generalized hydrodynamics: a perspective
• Emergent Pauli blocking in a weakly interacting Bose gas
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Relaxation of Bosons in One Dimension and the Onset of Dimensional Crossover
• Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation
• Hydrodynamic gauge fixing and higher order hydrodynamic expansion
• Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
• Diffusive Hydrodynamics of Inhomogenous Hamiltonians
• Thermalization of interacting quasi-one-dimensional systems
• Adiabatic formation of bound states in the 1d Bose gas
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
• Engineering generalized Gibbs ensembles with trapped ions
• Probing the Degree of Coherence through the Full 1D to 3D crossover
• The dissipative Generalized Hydrodynamic equations and their numerical solution
• Strongly-interacting bosons at 2D-1D Dimensional Crossover
• Diffusive hydrodynamics from long-range correlations
• Scaling of fronts and entanglement spreading during a domain wall melting
• Free energy fluxes and the Kubo-Martin-Schwinger relation
• The Whitham approach to Generalized Hydrodynamics
• Integrability breaking in the Rule 54 cellular automaton
• Geometric squeezing of rotating quantum gases into the lowest Landau level
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Thermometry of one-dimensional Bose gases with neural networks
• Integrability breaking from backscattering
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Iterative construction of conserved quantities in dissipative nearly integrable systems
• Obstruction to ergodicity in nonlinear Schrödinger equations with resonant potentials
• Navier-Stokes equations for nearly integrable quantum gases
• Characterising transport in a quantum gas by measuring Drude weights
• Benchmarks of Generalized Hydrodynamics for 1D Bose Gases
• Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate
• Landau-Lifschitz magnets: exact thermodynamics and transport
• Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
• Connected correlations in partitioning protocols: a case study and beyond
• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases
• Identifying diffusive length scales in one-dimensional Bose gases
• The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
• Dynamical separation of charge and energy transport in one-dimensional Mott insulators
• Experimental Investigation of a Bipartite Quench in a 1D Bose gas
• Emergent Infrared Conformal Dynamics in Strongly Interacting Quantum Gases
• Simulating generalised fluids via interacting wave packets evolution
• Quantum fluctuating theory for one-dimensional shock waves
• Wavelet representation of hardcore bosons
• Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases
• Anomalous charge transport in the sine-Gordon model
• Timescales and necessary conditions for hydrodynamization in one-dimensional Bose gases
• Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional ${}^{162}$Dy gases
• Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas