Ballistic front dynamics after joining two semi-infinite quantum Ising chains

Abstract

We consider two semi-infinite quantum Ising chains initially at thermal equilibrium at two different temperatures and subsequently joined by an interaction between their end points. Transport properties such as the heat current are determined by the dynamics of the left- and right-moving fermionic quasi-particles which characterize the ensuing unitary dynamics. Within the so-called semi-classical space-time scaling limit we extend known results by determining the full space and time dependence of the density and current of energy and of fermionic quasi-particles. Upon approaching the edge of the propagating front, these quantities as well as the two-point correlation function display qualitatively different behaviors depending on the transverse field of the chain being critical or not. While in the latter case corrections to the leading behavior are described, as expected, by the Airy kernel, in the former a novel scaling form emerges with universal features.

29 pages, 11 figures

References in corpus (8)

• The large deviation approach to statistical mechanics
• Quantum Quench in the Transverse Field Ising Chain
• Full counting statistics in a propagating quantum front and random matrix spectra
• Logarithmic current fluctuations in non-equilibrium quantum spin chains
• Non-interacting fermions at finite temperature in a $d$-dimensional trap: universal correlations
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Universal front propagation in the quantum Ising chain with domain-wall initial states
• Non-equilibrium transport in $d$-dimensional non-interacting Fermi gases

Cited by in corpus (47)

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• Generalized hydrodynamics with space-time inhomogeneous interactions
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Entanglement and quantum transport in integrable systems
• Suppression of transport in non-disordered quantum spin chains due to confined excitations
• Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics
• Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
• Energy transport in an integrable parafermionic chain via generalized hydrodynamics
• Front dynamics and entanglement in the XXZ chain with a gradient
• Universal broadening of the light cone in low-temperature transport
• Integrability-protected adiabatic reversibility in quantum spin chains
• Locally quasi-stationary states in noninteracting spin chains
• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
• Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
• Non-Equilibrium Steady State generated by a moving defect: the supersonic threshold
• Edge singularities and quasi-long-range order in non-equilibrium steady states
• Hydrodynamical phase transition for domain-wall melting in the XY chain
• Non-equilibrium quantum transport in presence of a defect: the non-interacting case
• Magnetization and entanglement after a geometric quench in the XXZ chain
• Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
• Front dynamics in the XY chain after local excitations
• Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
• Linearized regime of the generalized hydrodynamics with diffusion
• Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
• Superluminal moving defects in the Ising spin chain
• Quantum caustics and the hierarchy of light cones in quenched spin chains
• Interplay between transport and quantum coherences in free fermionic systems
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Quench dynamics of noninteracting fermions with a delta impurity
• Energy dynamics, information and heat flow in quenched cooling and the crossover from quantum to classical thermodynamics
• Scaling at the OTOC Wavefront: free versus chaotic models
• Stationary time correlations for fermions after a quench in the presence of an impurity
• 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
• On Landauer--Büttiker formalism from a quantum quench
• Generalized hydrodynamics of integrable quantum circuits
• Energy transport between critical one-dimensional systems with different central charges
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
• Wavelet representation of hardcore bosons
• Ballistic propagation of a local impact in the one-dimensional $XY$ model
• Domain-wall melting and entanglement in free-fermion chains with a band structure
• Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State
• PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"