Quench dynamics of negativity Hamiltonians
arXiv:2506.09561 · doi:10.1088/1742-5468/adfe58
Abstract
In this paper, we investigate the quench dynamics of the negativity and fermionic negativity Hamiltonians in free fermionic systems. We do this by generalizing a recently developed quasiparticle picture for the entanglement Hamiltonians to tripartite geometries. We obtain analytic expressions for these quantities which are then extensively checked against previous results and numerics. In particular, we find that the standard negativity Hamiltonian contains both non-local hopping terms and four fermion interactions, whereas the fermionic version is purely quadratic. However, despite their marked difference, we show that the logarithmic negativity obtained from either are identical in the ballistic scaling limit, as are their symmetry resolution.
29 pages + appendix, 6 figures
References in corpus (82)
- Quantum entanglement
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Entanglement Entropy and Quantum Field Theory
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Area laws for the entanglement entropy - a review
- Nonequilibrium dynamics of closed interacting quantum systems
- Entanglement in quantum critical phenomena
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Peres-Horodecki separability criterion for continuous variable systems
- Entanglement entropy and conformal field theory
- The logarithmic negativity: A full entanglement monotone that is not convex
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Reduced density matrices and entanglement entropy in free lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Entanglement negativity in quantum field theory
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Entanglement Properties of the Harmonic Chain
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- The randomized measurement toolbox
- Mixed-state entanglement from local randomized measurements
- Entanglement negativity in extended systems: A field theoretical approach
- Entanglement dynamics after quantum quenches in generic integrable systems
- Entanglement hamiltonians in two-dimensional conformal field theory
- Quantum Quenches in Integrable Field Theories
- Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
- Evolution of entanglement after a local quench
- Finite temperature entanglement negativity in conformal field theory
- Entanglement asymmetry as a probe of symmetry breaking
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Entanglement negativity in the harmonic chain out of equilibrium
- Entanglement negativity after a global quantum quench
- Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Imbalance Entanglement: Symmetry Decomposition of Negativity
- On the partial transpose of fermionic Gaussian states
- The entanglement negativity in random spin chains
- Spreading of correlations in Markovian open quantum systems
- Quench action and Renyi entropies in integrable systems
- Entanglement negativity in the critical Ising chain
- Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
- Many-body topological invariants for fermionic symmetry-protected topological phases
- Symmetry decomposition of negativity of massless free fermions
- Twisted and untwisted negativity spectrum of free fermions
- Negativity spectrum of one-dimensional conformal field theories
- Quantum information dynamics in multipartite integrable systems
- Entanglement negativity via replica trick: a Quantum Monte Carlo approach
- Full Counting Statistics in the Transverse Field Ising Chain
- Entanglement negativity in two-dimensional free lattice models
- Measuring Fermionic Entanglement: Entropy, Negativity, and Spin Structure
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Lack of symmetry restoration after a quantum quench: an entanglement asymmetry study
- Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
- Entanglement negativity and conformal field theory: a Monte Carlo study
- Singularity in Entanglement Negativity Across Finite Temperature Phase Transitions
- Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
- Stationary entanglement entropies following an interaction quench in 1D Bose gas
- Finite-temperature entanglement negativity of free fermions
- Universal scaling of the logarithmic negativity in massive quantum field theory
- Dynamics of charge fluctuations from asymmetric initial states
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Negativity for two blocks in the one dimensional Spin 1 AKLT model
- Dissipative quasi-particle picture for quadratic Markovian open quantum systems
- Distillable entanglement and area laws in spin and harmonic-oscillator systems
- Entanglement and diagonal entropies after a quench with no pair structure
- Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
- The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
- Negativity spectrum in 1D gapped phases of matter
- Hydrodynamics of quantum entropies in Ising chains with linear dissipation
- Negativity Spectrum in the Random Singlet Phase
- An introduction to entanglement measures
- Entanglement spreading and quasiparticle picture beyond the pair structure
- Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
- Full Counting Statistics of Charge in Quenched Quantum Gases
- Entanglement Hamiltonians and the quasiparticle picture
- Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions
- Finite Temperature Entanglement Negativity of Fermionic Symmetry Protected Topological Phases and Quantum Critical Points in One Dimension
- Finite temperature negativity Hamiltonians of the massless Dirac fermion
- Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
- Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath