The Diffusion of the Magnetization Profile in the XX-model

Abstract

By the $C^{\ast }$-algebraic method, we investigate the magnetization profile in the intermediate time of diffusion. We observe a transition from monotone profile to non-monotone profile. This transition is purely thermal.

Accepted for publication in Phys. Rev. E

References in corpus (3)

• Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses
• A simple one-dimensional model of heat conduction which obeys Fourier's law
• Can disorder induce a finite thermal conductivity in 1D lattices?

Cited by in corpus (41)

• Finite-temperature transport in one-dimensional quantum lattice models
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Quantum Quenches in an XXZ Spin Chain from a Spatially Inhomogeneous Initial State
• Logarithmic current fluctuations in non-equilibrium quantum spin chains
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Dynamic scaling of fronts in the quantum XX chain
• Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
• Relaxation in the XX quantum chain
• Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics
• Emergent eigenstate solution to quantum dynamics far from equilibrium
• Scaling and front dynamics in Ising quantum chains
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Integrability-protected adiabatic reversibility in quantum spin chains
• Time evolution of the Luttinger model with nonuniform temperature profile
• Thermal transport in one-dimensional spin heterostructures
• Non-equilibrium steady states : maximization of the Shannon entropy associated to the distribution of dynamical trajectories in the presence of constraints
• Entangling many-body bound states with propagative modes in Bose-Hubbard systems
• Non-Equilibrium Steady State generated by a moving defect: the supersonic threshold
• Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information
• Non-equilibrium transport in $d$-dimensional non-interacting Fermi gases
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Work fluctuations in quantum spin chains
• Hydrodynamic description of Hard-core Bosons on a Galileo ramp
• Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
• Entanglement Dynamics of Disordered Quantum XY Chains
• Superluminal moving defects in the Ising spin chain
• Interplay between transport and quantum coherences in free fermionic systems
• Fourier's law on a one-dimensional optical random lattice
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Generalized thermalization for integrable system under quantum quench
• Dynamics of Open Tight-binding Model
• Broken translation invariance in quasifree fermionic correlations out of equilibrium
• Gap-mediated magnetization of a pseudo-one-dimensional system with a spin-orbit interaction
• Some speculations about local thermalization of nonequilibrium extended quantum systems
• Defect production in quench from current-carrying non-equilibrium state
• Ballistic propagation of a local impact in the one-dimensional $XY$ model
• Quantum Spin Systems after DLS1978
• Inhomogeneous quenches and GHD in the $\nu =1$ QSSEP model