Adiabatic formation of bound states in the 1d Bose gas

Abstract

We consider the 1d interacting Bose gas in the presence of time-dependent and spatially inhomogeneous contact interactions. Within its attractive phase, the gas allows for bound states of an arbitrary number of particles, which are eventually populated if the system is dynamically driven from the repulsive to the attractive regime. Building on the framework of Generalized Hydrodynamics, we analytically determine the formation of bound states in the limit of adiabatic changes in the interactions. Our results are valid for arbitrary initial thermal states and, more generally, Generalized Gibbs Ensembles.

arXiv comment13 pages, 2 figures

References in corpus (80)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• 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
• Relaxation and Pre-thermalization in an Isolated Quantum System
• Quantum Inverse Scattering Method and Correlation Functions
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• 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
• Quantum dynamics of a single, mobile spin impurity
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Microscopic observation of magnon bound states and their dynamics
• Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Generalized HydroDynamics on an Atom Chip
• Hydrodynamic Diffusion in Integrable Systems
• Quasilocal charges in integrable lattice systems
• Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Soliton gases and generalized hydrodynamics
• Yang-Yang thermodynamics on an atom chip
• An introduction to integrable techniques for one-dimensional quantum systems
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Microscopic origin of ideal conductivity in integrable quantum models
• The Quench Action
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Analytic solution of the Domain Wall non-equilibrium stationary state
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• A note on generalized hydrodynamics: inhomogeneous fields and other concepts
• Dynamics of hard rods with initial domain wall state
• Quantum Generalized Hydrodynamics
• Drude Weight for the Lieb-Liniger Bose Gas
• Generalized hydrodynamics with space-time inhomogeneous interactions
• Quantum dynamics with spatiotemporal control of interactions in a stable Bose-Einstein condensate
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• Probing three-body correlations in a quantum gas using the measurement of the third moment of density fluctuations
• Diffusive hydrodynamics from integrability breaking
• Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
• Quench dynamics of the interacting Bose gas in one dimension
• Correlation functions of the one-dimensional attractive Bose gas
• Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime
• Generalised hydrodynamics of the classical Toda system
• Exact large-scale correlations in integrable systems out of equilibrium
• Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
• Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• String-charge duality in integrable lattice models
• Three-body correlation functions and recombination rates for bosons in three and one dimensions
• Strongly correlated superfluid order parameters from dc Josephson supercurrents
• Thermalisation of a trapped one-dimensional Bose gas via diffusion
• Creating quantum many-body scars through topological pumping of a 1D dipolar gas
• An exact formalism for the quench dynamics of integrable models
• Transport fluctuations in integrable models out of equilibrium
• Generalised hydrodynamics with dephasing noise
• Incomplete thermalization from trap-induced integrability breaking: lessons from classical hard rods
• Equilibration Properties of Classical Integrable Field Theories
• Exact ground state of finite Bose-Einstein condensates on a ring
• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• Integrability-protected adiabatic reversibility in quantum spin chains
• Dynamical symmetry and breathers in a two-dimensional Bose gas
• Dark-Bright Soliton Dynamics Beyond the Mean-Field Approximation
• Dynamics of the attractive 1D Bose gas: analytical treatment from integrability
• Critical fluctuations in a soliton formation of attractive Bose-Einstein condensates
• Metastable criticality and the super Tonks-Girardeau gas
• Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
• Kinetic theory of quantum and classical Toda lattices
• Excitations of attractive 1-D bosons: Binding vs. fermionization
• Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
• Euler-scale dynamical correlations in integrable systems with fluid motion
• Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
• Diffusion from Convection
• Strongly Correlated Quantum Gas Prepared by Direct Laser Cooling
• Interplay of Solitons and Radiation in One-Dimensional Bose Gases
• Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz

Cited by in corpus (12)

• Hydrodynamics of weak integrability breaking
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Constructing Integrable Lindblad Superoperators
• Generalized hydrodynamics: a perspective
• Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation
• Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
• Transport and entanglement across integrable impurities from Generalized Hydrodynamics
• The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
• Quantum fluctuating theory for one-dimensional shock waves
• Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas