Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case
arXiv:2205.02139 · doi:10.21468/SciPostPhys.15.3.124
Abstract
We derive the quasiparticle picture for the fermionic logarithmic negativity in a tight-binding chain subject to gain and loss dissipation. We focus on the dynamics after the quantum quench from the fermionic Néel state. We consider the negativity between both adjacent and disjoint intervals embedded in an infinite chain. Our result holds in the standard hydrodynamic limit of large subsystems and long times, with their ratio fixed. Additionally, we consider the weakly-dissipative limit, in which the dissipation rates are inversely proportional to the size of the intervals. We show that the negativity is proportional to the number of entangled pairs of quasiparticles that are shared between the two intervals, as is the case for the mutual information. Crucially, in contrast with the unitary case, the negativity content of quasiparticles is not given by the Rényi entropy with Rényi index 1/2, and it is in general not easily related to thermodynamic quantities.
35 pages, 8+1 figures, 2 appendices. Improved presentation. Added one figure and one appendix. Similar to published version
References in corpus (23)
- Area laws in quantum systems: mutual information and correlations
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Entanglement negativity in quantum field theory
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Finite temperature entanglement negativity in conformal field theory
- Entanglement negativity in the harmonic chain out of equilibrium
- Entanglement negativity after a global quantum quench
- On the partial transpose of fermionic Gaussian states
- Scaling of entanglement between separated blocks in spin chains at criticality
- Entanglement equipartition in critical random spin chains
- Coherent and dissipative dynamics at quantum phase transitions
- Negativity spectrum of one-dimensional conformal field theories
- Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
- Thermal bound entanglement in macroscopic systems and area laws
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
- Dissipative quasi-particle picture for quadratic Markovian open quantum systems
- Unbounded entanglement production via a dissipative impurity
- Hydrodynamics of quantum entropies in Ising chains with linear dissipation
- Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
- Entanglement negativity in a fermionic chain with dissipative defects: Exact results
- Quench dynamics of Rényi negativities and the quasiparticle picture
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