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This research advances the theoretical understanding of entanglement dynamics in driven-dissipative quantum systems by introducing a hydrodynamic framework for mixed-state negativity. By modeling correlations as ballistic quasiparticles, the study provides new tools to analyze how genuine quantum information propagates and degrades under linear dissipation in fermionic and bosonic chains. Such insights are critical for developing robust protocols in future fault-tolerant quantum computing architectures that must operate amidst environmental noise.
Fate of entanglement in quadratic Markovian dissipative systems
arXiv:2406.15328v2 Announce Type: replace-cross Abstract: We develop a hydrodynamic description for the driven-dissipative dynamics of the entanglement negativity, which quantifies the genuine entanglement in mixed-state systems. We focus on quantum quenches in fermionic and bosonic systems subject to linear dissipation, as described by quadratic Lindblad master equations. In the spirit of hydrodynamics, we divide the system into mesoscopic cells. At early times, correlations are generated in each cell by the unitary component of the evolution. Correlations are then transported across different cells via ballistic quasiparticle propagation, while simultaneously evolving under the action of the environment. We show that in the hydrodynamic limit the negativity can be reconstructed from the correlations between the independently propagating quasiparticles. We benchmark our approach considering quenches from both homogeneous and inhomogeneous initial states in the Kitaev chain, the tight-binding chain, and the harmonic chain in the presence of gain/loss dissipation.
Abstract:We develop a hydrodynamic description for the driven-dissipative dynamics of the entanglement negativity, which quantifies the genuine entanglement in mixed-state systems. We focus on quantum quenches in fermionic and bosonic systems subject to linear dissipation, as described by quadratic Lindblad master equations. In the spirit of hydrodynamics, we divide the system into mesoscopic cells. At early times, correlations are generated in each cell by the unitary component of the evolution. Correlations are then transported across different cells via ballistic quasiparticle propagation, while simultaneously evolving under the action of the environment. We show that in the hydrodynamic limit the negativity can be reconstructed from the correlations between the independently propagating quasiparticles. We benchmark our approach considering quenches from both homogeneous and inhomogeneous initial states in the Kitaev chain, the tight-binding chain, and the harmonic chain in the presence of gain/loss dissipation.
20 pages, 2 figures, 4 appendices. Modified version similar to the one published in Phys. Rev. A
Statistical Mechanics (cond-mat.stat-mech); Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
arXiv:2406.15328 [cond-mat.stat-mech]
(or arXiv:2406.15328v2 [cond-mat.stat-mech] for this version)
Phys. Rev. A 113, 042436 (2026)
https://doi.org/10.1103/f6q2-vkyv DOI(s) linking to related resources
Full text under the publisher's open licence · 196 words
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