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.

13 pages, 2 figures

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Experimental Observation of a Generalized Gibbs Ensemble
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• 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
• Correlation functions of the one-dimensional attractive Bose gas
• Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• Thermalisation of a trapped one-dimensional Bose gas via diffusion
• Dynamical symmetry and breathers in a two-dimensional Bose gas
• 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
• Euler-scale dynamical correlations in integrable systems with fluid motion

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• 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