Entanglement Hamiltonian during a domain wall melting in the free Fermi chain

Abstract

We study the unitary time evolution of the entanglement Hamiltonian of a free Fermi lattice gas in one dimension initially prepared in a domain wall configuration. To this aim, we exploit the recent development of quantum fluctuating hydrodynamics. Our findings for the entanglement Hamiltonian are based on the effective field theory description of the domain wall melting and are expected to exactly describe the Euler scaling limit of the lattice gas. However, such field theoretical results can be recovered from high-precision numerical lattice calculations only when summing appropriately over all the hoppings up to distant sites.

25 pages, 8 figures

References in corpus (26)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Towards a derivation of holographic entanglement entropy
• Entanglement hamiltonians in two-dimensional conformal field theory
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Symmetry-resolved entanglement detection using partial transpose moments
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Entanglement Hamiltonian Tomography in Quantum Simulation
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Logarithmic current fluctuations in non-equilibrium quantum spin chains
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Relaxation in the XX quantum chain
• Local temperatures and local terms in modular Hamiltonians
• Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
• Entanglement, combinatorics and finite-size effects in spin-chains
• Quantum Variational Learning of the Entanglement Hamiltonian
• On the continuum limit of the entanglement Hamiltonian
• Modular Hamiltonians for the massless Dirac field in the presence of a boundary
• Magnetization and entanglement after a geometric quench in the XXZ chain
• Modular Hamiltonians for the massless Dirac field in the presence of a defect
• The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
• Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
• Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains
• Wigner function for a particle in an infinite lattice
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
• One-dimensional Bose gas driven by a slow time-dependent harmonic trap