Work

Steady-state entanglement scaling in open quantum systems: A comparison between several master equations

Year: 2024

Type: preprint

Abstract: We investigate the scaling of the fermionic logarithmic negativity (FLN) between complementary intervals in the steady state of a driven-dissipative tight-binding critical chain, coupled to two thermal reservoirs at its edges. We compare the predictions of three different master equations, namely a nonlocal Lindblad equation, the Redfield equation, and the recently proposed universal Lindblad equation (ULE). Within the nonlocal Lindblad equation approach, the FLN grows logarithmically with the subsystem size $\ell$, for any value of the system-bath coupling and of the bath parameters. This is consistent with the logarithmic scaling of the mutual information analytically demonstrated in [Phys. Rev. B 106, 235149 (2022)]. In the ultraweak-coupling regime, the Redfield equation and the ULE exhibit the same logarithmic increase; such behavior holds even when moving to moderately weak coupling and intermediate values of $\ell$. However, when venturing beyond this regime, the FLN crosses over to superlogarithmic scaling for both equations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.06326

Authors: D'Abbruzzo, Antonio, Rossini, Davide, Giovannetti, Vittorio, Alba, Vincenzo

Institutions: University of Pisa, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Scuola Normale Superiore, Istituto Nanoscienze, National Enterprise for NanoScience and NanoTechnology

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca

Awards: G1946586944, G8951614284

OpenAlex ID: W4403623328

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