Entanglement negativity in a nonequilibrium steady state

• URL: http://arxiv.org/abs/2212.08499v1
• Date: Fri, 16 Dec 2022 14:28:27 GMT
• Title: Entanglement negativity in a nonequilibrium steady state
• Authors: Viktor Eisler
• Abstract summary: We study entanglement properties in a nonequilibrium steady state of a free-fermion chain. We show that the negativity and the R'enyi mutual information with index $alpha=1/2$ are described by different prefactors.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study entanglement properties in a nonequilibrium steady state of a free-fermion chain, that emerges after connecting two half-chains prepared at different temperatures. The entanglement negativity and the R\'enyi mutual information between two adjacent intervals scale logarithmically in the system size, with prefactors that we calculate analytically as a function of the bath temperatures. In particular, we show that the negativity and the R\'enyi mutual information with index $\alpha=1/2$ are described by different prefactors, and thus the two quantities provide inequivalent information about the state. Furthermore, we show that the logarithmic growth of the negativity during time evolution is also governed by the steady-state prefactor.

Related papers

• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Non-equilibrium dynamics of charged dual-unitary circuits [44.99833362998488]
  interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. We show that one can introduce a class of solvable states, which extends that of generic dual unitary circuits. In contrast to the known class of solvable states, which relax to the infinite temperature state, these states relax to a family of non-trivial generalised Gibbs ensembles.
  arXiv  Detail & Related papers  (2024-07-31T17:57:14Z)
• Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias [0.0]
  We study the entanglement properties of free fermions on a one-dimensional lattice that contains a generic charge- and energy-conserving noninteracting impurity. We show that all these measures scale linearly with the overlap between one subsystem and the mirror image of the other. While a simple proportionality relation between the negativity and R'enyi versions of the mutual information is observed to hold at zero temperature, it breaks down at finite temperatures.
  arXiv  Detail & Related papers  (2024-04-16T18:00:16Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Entanglement negativity in a fermionic chain with dissipative defects: Exact results [0.0]
  We investigate the dynamics of the fermionic logarithmic negativity in a free-fermion chain with a localized loss. The negativity grows linearly at short times, then saturating to a volume-law scaling. This reflects the interplay between dissipative and unitary processes.
  arXiv  Detail & Related papers  (2022-09-28T15:15:24Z)
• Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case [0.0]
  We derive the quasiparticle picture for the fermionic logarithmic negativity in a tight-binding chain subject to gain and loss dissipation. We consider the negativity between both adjacent and disjoint intervals embedded in an infinite chain.
  arXiv  Detail & Related papers  (2022-05-04T15:48:18Z)
• Entropic Causal Inference: Identifiability and Finite Sample Results [14.495984877053948]
  Entropic causal inference is a framework for inferring the causal direction between two categorical variables from observational data. We consider the minimum entropy coupling-based algorithmic approach presented by Kocaoglu et al.
  arXiv  Detail & Related papers  (2021-01-10T08:37:54Z)
• Entanglement negativity spectrum of random mixed states: A diagrammatic approach [0.34410212782758054]
  entanglement properties of random pure states are relevant to a variety of problems ranging from chaotic quantum dynamics to black hole physics. In this paper, we generalize this setup to random mixed states by coupling the system to a bath and use the partial transpose to study their entanglement properties.
  arXiv  Detail & Related papers  (2020-11-02T19:49:37Z)
• Out-of-equilibrium quantum thermodynamics in the Bloch sphere: temperature and internal entropy production [68.8204255655161]
  An explicit expression for the temperature of an open two-level quantum system is obtained. This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir. We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
  arXiv  Detail & Related papers  (2020-04-09T23:06:43Z)
• Double Trouble in Double Descent : Bias and Variance(s) in the Lazy Regime [32.65347128465841]
  Deep neural networks can achieve remarkable performances while interpolating the training data perfectly. Rather than the U-curve of the bias-variance trade-off, their test error often follows a "double descent" We develop a quantitative theory for this phenomenon in the so-called lazy learning regime of neural networks.
  arXiv  Detail & Related papers  (2020-03-02T17:39:31Z)
• Time evolution of entanglement negativity across a defect [0.0]
  We consider a quench in a free-fermion chain by joining two homogeneous half-chains via a defect. The time evolution of the entanglement negativity is studied between adjacent segments surrounding the defect. We also study a similar quench in the XXZ spin chain via density-matrix renormalization group methods.
  arXiv  Detail & Related papers  (2020-01-17T12:52:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.