Exact hydrodynamic description of symmetry-resolved Rényi entropies after a quantum quench

Abstract

We investigate the non-equilibrium dynamics of the symmetry-resolved Rényi entropies in a one-dimensional gas of non-interacting spinless fermions by means of quantum generalised hydrodynamics, which recently allowed to obtain very accurate results for the total entanglement in inhomogeneous quench settings. Although our discussion is valid for any quench setting accessible with quantum generalised hydrodynamics, we focus on the case of a quantum gas initially prepared in a bipartite fashion and subsequently let evolve unitarily with a hopping Hamiltonian. For this system, we characterise the symmetry-resolved Rényi entropies as function of time $t$ and of the entangling position $x$ along the inhomogeneous profile. We observe an asymptotic logarithmic growth of the charged moments at half system and an asymptotic restoration of equipartition of entropy among symmetry sectors with deviations which are proportional to the square of the inverse of the total entropy.

27 pages, 10 figures; v2:minor changes

References in corpus (47)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement hamiltonians in two-dimensional conformal field theory
• 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
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
• Logarithmic current fluctuations in non-equilibrium quantum spin chains
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Entanglement equipartition in critical random spin chains
• Symmetry-resolved dynamical purification in synthetic quantum matter
• Entanglement Entropy of Non Unitary Conformal Field Theory
• Relaxation in the XX quantum chain
• Entanglement evolution after connecting finite to infinite quantum chains
• Symmetry decomposition of negativity of massless free fermions
• Symmetry resolved relative entropies and distances in conformal field theory
• Symmetry resolved entanglement in integrable field theories via form factor bootstrap
• Symmetry-Resolved Entanglement in AdS${}_3$/CFT${}_2$ coupled to $U(1)$ Chern-Simons Theory
• U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
• Finite-size corrections in critical symmetry-resolved entanglement
• Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
• Symmetry-resolved entanglement for excited states and two entangling intervals in AdS${}_3$/CFT${}_2$
• Quantum Variational Learning of the Entanglement Hamiltonian
• Boundary effects on symmetry resolved entanglement
• Symmetry decomposition of relative entropies in conformal field theory
• Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
• Charged Moments in $W_3$ Higher Spin Holography
• Symmetry-resolved entanglement in a long-range free-fermion chain
• Symmetric inseparability and number entanglement in charge conserving mixed states
• Entanglement of the $3$-State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
• On the continuum limit of the entanglement Hamiltonian
• Unlimited growth of particle fluctuations in many-body localized phases
• Magnetization and entanglement after a geometric quench in the XXZ chain
• Charged Rényi negativity of massless free bosons
• The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
• Equipartition of Entanglement in Quantum Hall States
• Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
• Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
• Symmetry-resolved entanglement entropy in critical free-fermion chains
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Hydrodynamic description of Hard-core Bosons on a Galileo ramp
• Real-space entanglement of quantum fields
• On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
• Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory
• Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models

Cited by in corpus (9)

• Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
• Symmetry-resolved Page curves
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
• Entanglement resolution of free Dirac fermions on a torus
• Multi-charged moments of two intervals in conformal field theory
• Domain wall melting across a defect
• Two-Point Functions of Composite Twist Fields in the Ising Field Theory
• Page curve and symmetries
• A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons