Entanglement negativity in a fermionic chain with dissipative defects: Exact results
arXiv:2209.14164 · doi:10.1088/1742-5468/acb429
Abstract
We investigate the dynamics of the fermionic logarithmic negativity in a free-fermion chain with a localized loss, which acts as a dissipative impurity. The chain is initially prepared in a generic Fermi sea. In the standard hydrodynamic limit of large subsystems and long times, with their ratio fixed, the negativity between two subsystems is described by a simple formula, which depends only on the effective absorption coefficient of the impurity. The negativity grows linearly at short times, then saturating to a volume-law scaling. Physically, this reflects the continuous production with time of entangling pairs of excitations at the impurity site. Interestingly, the negativity is not the same as the Rényi mutual information with Rényi index , in contrast with the case of unitary dynamics. This reflects the interplay between dissipative and unitary processes. The negativity content of the entangling pairs is obtained in terms of an effective two-state mixed density matrix for the subsystems. Criticality in the initial Fermi sea is reflected in the presence of logarithmic corrections. The prefactor of the logarithmic scaling depends on the loss rate, suggesting a nontrivial interplay between dissipation and criticality.
arXiv comment31 pages, 8 figures, 3 appendices. Close to published version in JSTAT
References in corpus (64)
- Quantum Computing in the NISQ era and beyond
- A computable measure of entanglement
- The logarithmic negativity: A full entanglement monotone that is not convex
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- Reduced density matrices and entanglement entropy in free lattice models
- Probing entanglement entropy via randomized measurements
- Quantum Zeno subspaces
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- 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
- A comparison of entanglement measures
- Entanglement negativity in extended systems: A field theoretical approach
- Entanglement dynamics after quantum quenches in generic integrable systems
- Symmetry-resolved entanglement detection using partial transpose moments
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
- Entanglement negativity after a global quantum quench
- Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton
- On the partial transpose of fermionic Gaussian states
- The entanglement negativity in random spin chains
- Scaling of entanglement between separated blocks in spin chains at criticality
- Spreading of correlations in Markovian open quantum systems
- Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
- Quench action and Renyi entropies in integrable systems
- Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
- Entanglement negativity and entropy in non-equilibrium conformal field theory
- Many-body topological invariants for fermionic symmetry-protected topological phases
- Symmetry-resolved dynamical purification in synthetic quantum matter
- Coherent and dissipative dynamics at quantum phase transitions
- Entanglement negativity after a local quantum quench in conformal field theories
- On entanglement evolution across defects in critical chains
- Twisted and untwisted negativity spectrum of free fermions
- Negativity spectrum of one-dimensional conformal field theories
- Quantum information dynamics in multipartite integrable systems
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
- Enhanced entanglement negativity in boundary driven monitored fermionic chains
- Finite-temperature entanglement negativity of free fermions
- Entanglement Renyi negativity across a finite temperature transition: a Monte Carlo study
- Universal scaling of the logarithmic negativity in massive quantum field theory
- Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Dissipative quasi-particle picture for quadratic Markovian open quantum systems
- Non-Hermitian scattering on a tight-binding lattice
- Estimation for Entanglement Negativity of Free Fermions
- Unbounded entanglement production via a dissipative impurity
- Hydrodynamics of quantum entropies in Ising chains with linear dissipation
- The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
- Time evolution of entanglement negativity across a defect
- Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
- Entanglement evolution across defects in critical anisotropic Heisenberg chains
- Free Fermions with a Localized Source
- Entanglement transitions as a probe of quasiparticles and quantum thermalization
- Nonequilibrium phase transition in transport through a driven quantum point contact
- Entanglement and classical fluctuations at finite-temperature critical points
- Extensive Long-Range Entanglement in a Nonequilibrium Steady State
- Quantum information spreading in random spin chains
- Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
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- Entanglement evolution after a global quench across a conformal defect
- Spectral and steady-state properties of fermionic random quadratic Liouvillians
- Symmetry-resolved entanglement in fermionic systems with dissipation
- Charge-resolved entanglement in the presence of topological defects
- Free fermions with dephasing and boundary driving: Bethe Ansatz results
- Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
- Birth and Early Growth of Entanglement by sd Exchange with Gate-Voltage-Controllable Destiny
- Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
- -QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems
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- Fate of entanglement in quadratic Markovian dissipative systems
- Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems