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This study demonstrates how tunable hopping ranges in monitored fermion chains can transition Lindbladian skin states from area-law to algebraic sub-volume-law entanglement regimes. By jointly controlling dissipation and coherent dynamics, the research reveals a direct mechanism for engineering specific quantum entanglement profiles via reservoir engineering. Such findings offer a theoretical pathway for stabilizing non-unitary quantum states that are otherwise inaccessible through standard dynamics.
Range-controlled entanglement in Lindbladian skin states of monitored fermions
arXiv:2606.09306v1 Announce Type: new Abstract: Reservoir engineering can stabilize states inaccessible to unitary dynamics. Directed particle-conserving dissipation creates Lindbladian skin states, where Pauli exclusion turns edge accumulation into a many-body density imbalance. In a monitored fermion chain with tunable hopping range, we identify, within a Gaussian trajectory approximation, two finite-size scaling regimes: short-range hopping is consistent with complete skin accumulation and area-law entanglement, whereas sufficiently long-range hopping produces a finite bulk tail and effective algebraic sub-volume-law entanglement. Dissipation and coherent hopping thus jointly control skin localization and quantum entanglement, highlighting their close interconnection.
Abstract:Reservoir engineering can stabilize states inaccessible to unitary dynamics. Directed particle-conserving dissipation creates Lindbladian skin states, where Pauli exclusion turns edge accumulation into a many-body density imbalance. In a monitored fermion chain with tunable hopping range, we identify, within a Gaussian trajectory approximation, two finite-size scaling regimes: short-range hopping is consistent with complete skin accumulation and area-law entanglement, whereas sufficiently long-range hopping produces a finite bulk tail and effective algebraic sub-volume-law entanglement. Dissipation and coherent hopping thus jointly control skin localization and quantum entanglement, highlighting their close interconnection.
7 + 9 pages, 4 + 10 figures. Comments are welcome!
arXiv:2606.09306 [quant-ph]
(or arXiv:2606.09306v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2606.09306 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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