Unbounded entanglement production via a dissipative impurity

Alba, Vincenzo

doi:10.21468/scipostphys.12.1.011

Cited by 20 publications

(58 citation statements)

References 91 publications

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“…8 as continuous red line. The agreement between (84) and the numerical data is remarkable for both adjacent and disjoint intervals.…”

Section: Logarithmic Negativitysupporting

confidence: 53%

See 1 more Smart Citation

Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case

Alba¹,

Carollo²

2022

Preprint

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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 weaklydissipative 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.

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“…8 as continuous red line. The agreement between (84) and the numerical data is remarkable for both adjacent and disjoint intervals.…”

Section: Logarithmic Negativitysupporting

confidence: 53%

“…Indeed, it has been shown in Ref. [84] that the dynamics of the von Neumann and the Rényi entropies in the presence of localized fermion losses are determined by the effective transmission and reflection coefficients of the lossy site. It would be interesting to understand how to generalize this result to the negativity.…”

Section: Discussionmentioning

confidence: 99%

Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case

Alba¹,

Carollo²

2022

Preprint

Self Cite

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show abstract

“…In quench problems of this type, transient effects of long-range entanglement are signatures of integrability [7][8][9][10], and the dynamics as well as the stationary values of the entanglement entropy, negativity and mutual information are used for the classification of out-of-equilibrium models and their phases [11][12][13][14][15][16][17][18][19][20][21][22]. This success motivates the examination of entanglement properties also in open systems, and specifically those of their steady states [23][24][25][26][27][28]. In the context of current-carrying systems, scaling laws of entanglement measures in the steady state have been recently shown to be closely related to the localized-diffusive phase transition of the noninteracting Anderson model [29,30], further establishing the promise of such an analysis.…”

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confidence: 99%

Extensive Long-Range Entanglement in a Nonequilibrium Steady State

Fraenkel¹,

Goldstein²

2022

Preprint

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Entanglement measures constitute powerful tools in the quantitative description of quantum many-body systems out of equilibrium. We study entanglement in the current-carrying steady state of a paradigmatic one-dimensional model of noninteracting fermions at zero temperature in the presence of a scatterer. We show that disjoint intervals located on opposite sides of the scatterer, and within similar distances from it, maintain volume-law entanglement regardless of their separation, as measured by their fermionic negativity and coherent information. We employ several complementary analytical methods to derive exact expressions for the extensive terms of these quantities and, given a large separation, also for the subleading logarithmic terms. The strong long-range entanglement is generated by the coherence between the transmitted and reflected parts of propagating particles within the bias-voltage window. The generality and simplicity of the model suggest that this behavior should characterize a large class of nonequilibrium steady states.

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“…[52], Ref. [46] or the combination of localized dissipation and driving [53,54]. One important direction is to try to extend the hydrodyanamic framework to interacting integrable systems.…”

Section: Discussionmentioning

confidence: 99%

“…The case of localized losses has been addressed in Ref. [46]. We consider gain/loss dissipation with rates γg ± , where γ is the strength of the dissipation, and g ± real parameters.…”

Section: Similar Definitions Hold For B E O (K) and Cmentioning

confidence: 99%

Hydrodynamics of quantum entropies in Ising chains with linear dissipation

Alba,

Carollo

2021

Preprint

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We study the dynamics of quantum information and of quantum correlations after a quantum quench, in transverse field Ising chains subject to generic linear dissipation. As we show, in the hydrodynamic limit of long times, large system sizes, and weak dissipation, entropy-related quantities -such as the von Neumann entropy, the Rényi entropies, and the associated mutual informationadmit a simple description within the so-called quasiparticle picture. Specifically, we analytically derive a hydrodynamic formula, recently conjectured for generic noninteracting systems, which allows us to demonstrate a universal feature of the dynamics of correlations in such dissipative noninteracting system. For any possible dissipation, the mutual information grows up to a time scale that is proportional to the inverse dissipation rate, and then decreases, always vanishing in the long time limit. In passing, we provide analytic formulas describing the time-dependence of arbitrary functions of the fermionic covariance matrix, in the hydrodynamic limit.

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Unbounded entanglement production via a dissipative impurity

Cited by 20 publications

References 91 publications

Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case

Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case

Extensive Long-Range Entanglement in a Nonequilibrium Steady State

Hydrodynamics of quantum entropies in Ising chains with linear dissipation

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