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  • Letter

Range-controlled entanglement in Lindbladian skin states of monitored fermions

Gianluca Passarelli1,*, Angelo Russomanno1,†, Davide Rossini2, and Procolo Lucignano1

  • *Contact author: gianluca.passarelli@unina.it
  • †Contact author: angelo.russomanno@unina.it

Phys. Rev. B 114, L291303 – Published 6 November, 2026

DOI: https://doi.org/10.1103/8yc4-cc5m

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.

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