Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
arXiv:2007.12113 · doi:10.1103/PhysRevE.102.042128
Abstract
We study the dynamics of the statistics of the energy transferred across a point along a quantum chain which is prepared in the inhomogeneous initial state obtained by joining two identical semi-infinite parts thermalized at two different temperatures. In particular, we consider the transverse field Ising and harmonic chains as prototypical models of non-interacting fermionic and bosonic excitations, respectively. Within the so-called hydrodynamic limit of large space-time scales we first discuss the mean values of the energy density and current, and then, aiming at the statistics of fluctuations, we calculate exactly the scaled cumulant generating function of the transferred energy. From the latter, the evolution of the associated large deviation function is obtained. A natural interpretation of our results is provided in terms of a semi-classical picture of quasi-particles moving ballistically along classical trajectories. Similarities and differences between the transferred energy scaled cumulant and the large deviation functions in the cases of non-interacting fermions and bosons are discussed.
arXiv comment29 pages, 8 figures
References in corpus (89)
- Nonequilibrium dynamics of closed interacting quantum systems
- The large deviation approach to statistical mechanics
- Level-Spacing Distributions and the Airy Kernel
- Quantum many-body systems out of equilibrium
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Time-dependence of correlation functions following a quantum quench
- Electron Counting Statistics and Coherent States of Electric Current
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Quantum Quenches in Extended Systems
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Hydrodynamic Diffusion in Integrable Systems
- Reduced Density Matrix after a Quantum Quench
- A thermoelectric heat engine with ultracold atoms
- Quantum limit of heat flow across a single electronic channel
- Exact nonequilibrium steady state of a strongly driven open XXZ chain
- Solvable Hydrodynamics of Quantum Integrable Systems
- Quantum quench dynamics
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles
- Conformal field theory out of equilibrium: a review
- Lecture notes on Generalised Hydrodynamics
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Full counting statistics in a propagating quantum front and random matrix spectra
- Fluctuation theorem in quantum heat conduction
- Energy flow in non-equilibrium conformal field theory
- Dynamics of hard rods with initial domain wall state
- Inhomogeneous field theory inside the arctic circle
- Large deviations and universality in quantum quenches
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
- Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
- 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
- Determination of the Nonequilibrium Steady State Emerging from a Defect
- Inhomogeneous quenches in a fermionic chain: exact results
- Non-equilibrium thermal transport in the quantum Ising chain
- Exact large-scale correlations in integrable systems out of equilibrium
- Non-equilibrium steady-states in conformal field theory
- Non-equilibrium steady states in the Klein-Gordon theory
- Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
- Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics
- Stationary states in a free fermionic chain from the Quench Action Method
- Fluctuations in ballistic transport from Euler hydrodynamics
- Order parameter statistics in the critical quantum Ising chain
- Transport fluctuations in integrable models out of equilibrium
- Full Counting Statistics in the Transverse Field Ising Chain
- Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
- Ballistic front dynamics after joining two semi-infinite quantum Ising chains
- Full counting statistics in the gapped XXZ spin chain
- Statistics of the work done by splitting a one-dimensional quasi-condensate
- Work distribution and edge singularities for generic time-dependent protocols in extended systems
- Universal front propagation in the quantum Ising chain with domain-wall initial states
- Scaling and front dynamics in Ising quantum chains
- Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
- How order melts after quantum quenches
- Full counting statistics of time of flight images
- Scaling behaviour of the relaxation in quantum chains
- A matrix product solution for a nonequilibrium steady state of an XX chain
- Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states
- A note on the Full Counting Statistics of paired fermions
- From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
- Non-equilibrium quantum transport in presence of a defect: the non-interacting case
- Full counting statistics and large deviations in thermal 1D Bose gas
- Exact steady state manifold of a boundary driven spin-1 Lai-Sutherland chain
- Quench action and large deviations: work statistics in the one-dimensional Bose gas
- Quench echo and work statistics in integrable quantum field theories
- Current fluctuations in boundary-driven quantum spin chains
- Non-equilibrium transport in -dimensional non-interacting Fermi gases
- Relaxation of the order-parameter statistics in the Ising quantum chain
- Transport properties of a boundary-driven one-dimensional gas of spinless fermions
- Full Counting Statistics in the Resonant-Level Model
- Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model
- Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
- Harmonic oscillator chains as Wigner Quantum Systems: periodic and fixed wall boundary conditions in gl(1|n) solutions
- Full counting statistics in the free Dirac theory
- Quantum Work of an Optical Lattice
- Singularities in large deviations of work in quantum quenches
- Mesoscopic density grains in the 1d interacting Bose gas from the exact Yang-Yang solution
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- Hydrodynamics of weak integrability breaking
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- Emergence of hydrodynamic spatial long-range correlations in nonequilibrium many-body systems
- Anomalous transport from hot quasiparticles in interacting spin chains
- Euler-scale dynamical correlations in integrable systems with fluid motion
- Exact full counting statistics for the staggered magnetization and the domain walls in the XY spin chain
- Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
- Interplay between transport and quantum coherences in free fermionic systems
- Full Counting Statistics of Charge in Quenched Quantum Gases
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Thermodynamic phases in first detected return times of quantum many-body systems
- Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
- Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
- Kinetics of Quantum Reaction-Diffusion systems
- Full counting statistics after quantum quenches as hydrodynamic fluctuations
- Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting
- Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State