Solution of the BEC to BCS Quench in One Dimension
arXiv:2209.00956 · doi:10.1103/PhysRevLett.130.023001
Abstract
A gas of interacting fermions confined in a quasi one-dimensional geometry shows a BEC to BCS crossover upon slowly driving its coupling constant through a confinement-induced resonance. On one side of the crossover the fermions form tightly-bound bosonic molecules behaving as a repulsive Bose gas, while on the other they form Cooper pairs, whose size is much larger than the average inter-particle distance. Here we consider the situation arising when the coupling constant is varied suddenly from the BEC to the BCS value. Namely, we study a BEC-to-BCS quench. By exploiting a suitable continuum limit of recently discovered solvable quenches in the Hubbard model, we show that the local stationary state reached at large times after the quench can be determined exactly by means of the Quench Action approach. We provide an experimentally-accessible characterisation of the stationary state by computing local pair correlation function as well as the quasi-particle distribution functions. We find that the steady state is increasingly dominated by two particle spin singlet bound states for stronger interaction strength but that bound state formation is inhibited at larger BEC density. The bound state rapidity distribution displays quartic power law decay suggesting a violation of Tan's contact relations.
arXiv comment5 pages, 2 figures
References in corpus (77)
- Many-Body Physics with Ultracold Gases
- Nonequilibrium dynamics of closed interacting quantum systems
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Generalized Gibbs ensemble in integrable lattice models
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Large momentum part of fermions with large scattering length
- Energetics of a strongly correlated Fermi gas
- Experimental Observation of a Generalized Gibbs Ensemble
- Time evolution of local observables after quenching to an integrable model
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- The Unitary Fermi Gas: From Monte Carlo to Density Functionals
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- Quantum quenches in 1+1 dimensional conformal field theories
- Confinement induced molecules in a 1D Fermi gas
- Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Generalized HydroDynamics on an Atom Chip
- Solution for an interaction quench in the Lieb-Liniger Bose gas
- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- Attractive Fermi gases with unequal spin populations in highly elongated traps
- Phase diagram of a strongly interacting polarized Fermi gas in one dimension
- The Quench Action
- What is an integrable quench?
- Lecture notes on Generalised Hydrodynamics
- Generalized hydrodynamics in strongly interacting 1D Bose gases
- An exactly solvable model of the BCS-BEC crossover
- Tan relations in one dimension
- Quantum quench in the sine-Gordon model
- Fermionization in an expanding 1D gas of hard-core bosons
- The entanglement membrane in chaotic many-body systems
- Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
- Observation of Dynamical Fermionization
- Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
- Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Quantum quench phase diagrams of an s-wave BCS-BEC condensate
- Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting fermions via hard core bosons to weakly interacting Bose gas
- Exact steady states for quantum quenches in integrable Heisenberg spin chains
- Anomalous Expansion of Attractively Interacting Fermionic Atoms in an Optical Lattice
- Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
- Scalar one-point functions and matrix product states of AdS/dCFT
- Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
- Entanglement spreading in non-equilibrium integrable systems
- Universal contact for a Tonks-Girardeau gas at finite temperature
- Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
- On one-point functions for sinh-Gordon model at finite temperature
- Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
- Quantum quenches to the attractive one-dimensional Bose gas: exact results
- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- High-momentum tails as magnetic structure probes for strongly-correlated fermionic mixtures in one-dimensional traps
- Exact solution for the quench dynamics of a nested integrable system
- Relaxation dynamics of local observables in integrable systems
- Short distance correlators in the XXZ spin chain for arbitrary string distributions
- Overlaps of -raised Néel states with XXZ Bethe states and their relation to the Lieb-Liniger Bose gas
- Spin Chain Overlaps and the Twisted Yangian
- Breakdown of Tan's relation in lossy one-dimensional Bose gases
- From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
- Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension
- The quench action approach in finite integrable spin chains
- Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas
- Integrable quenches in nested spin chains I: the exact steady states
- One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
- On sinh-Gordon Thermodynamic Bethe Ansatz and fermionic basis
- BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
- Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model
- Integrable domain walls in ABJM theory
- Probing the BCS-BEC crossover with persistent currents
- Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
- Integrable quenches in nested spin chains II: fusion of boundary transfer matrices
- Integrable quenches in the Hubbard model
- Pair fraction in a finite temperature Fermi gas on the BEC side of the BCS-BEC crossover
- Pair correlations in the normal phase of an attractive Fermi gas
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