Edge singularities and quasi-long-range order in non-equilibrium steady states
arXiv:1801.08079 · doi:10.1103/PhysRevLett.120.217206
Abstract
The singularities of the dynamical response function are one of the most remarkable effects in many-body interacting systems. However in one dimension these divergences only exist strictly at zero temperature, making their observation very difficult in most cold atomic experimental settings. Moreover the presence of a finite temperature destroys another feature of one-dimensional quantum liquids: the real space quasi-long-range order in which the spatial correlation functions exhibit power-law decay. We consider a non-equilibrium protocol where two interacting Bose gases are prepared either at different temperatures or chemical potentials and then joined. We show that the non-equilibrium steady state emerging at large times around the junction displays edge singularities in the response function and quasi-long-range order.
arXiv comment4 pages, 4 figures + 5 pages of supplemental material
References in corpus (87)
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Luttinger Liquid Behavior in Carbon Nanotubes
- Quantum many-body systems out of equilibrium
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Topology by Dissipation in Atomic Quantum Wires
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Solution for an interaction quench in the Lieb-Liniger Bose gas
- Yang-Yang thermodynamics on an atom chip
- Universal theory of nonlinear Luttinger liquids
- Quantum quench dynamics
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Prethermalization and universal dynamics in near-integrable quantum systems
- Microscopic origin of ideal conductivity in integrable quantum models
- Conformal field theory out of equilibrium: a review
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Energy flow in non-equilibrium conformal field theory
- Dynamical density-density correlations in the one-dimensional Bose gas
- A note on generalized hydrodynamics: inhomogeneous fields and other concepts
- Analytic results for a quantum quench from free to hard-core one dimensional bosons
- Generalized Gibbs Ensembles for Quantum Field Theories
- Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
- Bloch oscillations in the absence of a lattice
- Form factor approach to dynamical correlation functions in critical models
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Inhomogeneous field theory inside the arctic circle
- Interaction quenches in the 1D Bose gas
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Exact edge singularities and dynamical correlations in spin-1/2 chains
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Direct Observation of Magnon Fractionalization in the Quantum Spin Ladder
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Finite temperature correlations in the Lieb-Liniger 1D Bose gas
- Fluctuation-dissipation relations and critical quenches in the transverse field Ising chain
- Non-equilibrium thermal transport in the quantum Ising chain
- Nonequilibrium thermal transport and its relation to linear response
- Non-equilibrium steady states in the Klein-Gordon theory
- Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases
- Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
- Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
- Quench-induced breathing mode of one-dimensional Bose gases
- Inhomogeneous Quantum Quenches
- Form factor approach to the asymptotic behavior of correlation functions in critical models
- Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
- Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics
- Stationary states in a free fermionic chain from the Quench Action Method
- Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
- Fermi-Edge Resonance and Tunneling in Nonequilibrium Electron Gas
- Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
- Energy transport between two integrable spin chains
- Ballistic front dynamics after joining two semi-infinite quantum Ising chains
- Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
- Universal front propagation in the quantum Ising chain with domain-wall initial states
- Pumping approximately integrable systems
- Emergent eigenstate solution to quantum dynamics far from equilibrium
- Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
- Relaxation dynamics of local observables in integrable systems
- Dissipative topological superconductors in number-conserving systems
- Universal broadening of the light cone in low-temperature transport
- Transport properties of the one-dimensional Hubbard model at finite temperature
- Momentum-space correlations of a one-dimensional Bose gas
- Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
- Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
- Density form factors of the 1D Bose gas for finite entropy states
- Metastable criticality and the super Tonks-Girardeau gas
- Fermi gas response to time-dependent perturbations
- Fermi edge singularity in a non-equilibrium system
- Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
- Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
- Diffusion and signatures of localization in stochastic conformal field theory
- Non-equilibrium transport in -dimensional non-interacting Fermi gases
- Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
- A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
- Probing non-thermal density fluctuations in the one-dimensional Bose gas
- Split Fermi seas in one-dimensional Bose fluids
- Correlation functions of one-dimensional bosons at low temperature
- Nonlinear spectra of spinons and holons in short GaAs quantum wires
- Low temperature dynamics of nonlinear Luttinger liquids
- A connection between non-local one-body and local three-body correlations of the Lieb-Liniger model
- General finite-size effects for zero-entropy states in one-dimensional quantum integrable models
- Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
- Nonequilibrium dynamics in an optical transition from a neutral quantum dot to a correlated many-body state
- Mesoscopic density grains in the 1d interacting Bose gas from the exact Yang-Yang solution
- Fermi Edge Resonances in Non-equilibrium States of Fermi Gases
Cited by in corpus (21)
- Hydrodynamic Diffusion in Integrable Systems
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Anomalous spin diffusion in one-dimensional antiferromagnets
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Domain-wall melting in the spin- XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
- Ballistic macroscopic fluctuation theory
- Integrability-protected adiabatic reversibility in quantum spin chains
- Breakdown of Tan's relation in lossy one-dimensional Bose gases
- Emergence of hydrodynamic spatial long-range correlations in nonequilibrium many-body systems
- Generalized hydrodynamics regime from the thermodynamic bootstrap program
- Strongly interacting trapped one-dimensional quantum gases: an exact solution
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- How generalized hydrodynamics time evolution arises from a form factor expansion
- Relaxation of phonons in the Lieb-Liniger gas by dynamical refermionization
- The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
- The relevant excitations for the one-body function in the Lieb-Liniger model
- Experimental Investigation of a Bipartite Quench in a 1D Bose gas
- Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
- On computing non-equilibrium dynamics following a quench
- Enhanced correlations due to ballistic transport
- Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas