Spectral and steady-state properties of fermionic random quadratic Liouvillians

Costa, João (avtor), Ribeiro, Pedro (avtor), De Luca, Andrea (avtor), Prosen, Tomaž (avtor), Sá, Lucas (avtor)

We study spectral and steady-state properties of generic Markovian dissipative systems described by quadratic fermionic Liouvillian operators of the Lindblad form. The Hamiltonian dynamics is modeled by a generic random quadratic operator, i.e., as a featureless superconductor of class D, whereas the Markovian dissipation is described by $M$ random linear jump operators. By varying the dissipation strength and the ratio of dissipative channels per fermion, $m=M/(2N_F)$, we find two distinct phases where the support of the single-particle spectrum has one or two connected components. In the strongly dissipative regime, this transition occurs for $m=1/2$ and is concomitant with a qualitative change in both the steady-state and the spectral gap that rules the large-time dynamics. Above this threshold, the spectral gap and the steady-state purity qualitatively agree with the fully generic (i.e., non-quadratic) case studied recently. Below $m=1/2$, the spectral gap closes in the thermodynamic limit and the steady-state decouples into an ergodic and a nonergodic sector yielding a non-monotonic steady-state purity as a function of the dissipation strength. Our results show that some of the universal features previously observed for fully random Liouvillians are generic for a sufficiently large number of jump operators. On the other hand, if the number of dissipation channels is decreased the system can exhibit nonergodic features, rendering it possible to suppress dissipation in protected subspaces even in the presence of strong system-environment coupling.

• Jezik: Angleški jezik
• Ključne besede: statistical mechanics, dissipative systems, ergidicity, open quantum systems
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Različica publikacije: Objavljena publikacija
• Datum objave: 09.10.2023
• Leto izida: 2023
• Št. strani: 41 str.
• Številčenje: Vol. 15, iss. 4, art. no. 145
• PID: 20.500.12556/RUL-155485
• UDK: 536.93
• ISSN pri članku: 2542-4653
• DOI: 10.21468/SciPostPhys.15.4.145
• COBISS.SI-ID: 191408131
• Datum objave v RUL: 04.04.2024

COSTA, João, RIBEIRO, Pedro, DE LUCA, Andrea, PROSEN, Tomaž in SÁ, Lucas, 2023, Spectral and steady-state properties of fermionic random quadratic Liouvillians. SciPost physics [na spletu]. 2023. Vol. 15, no. 4,  145. [Dostopano 8 april 2025]. DOI 10.21468/SciPostPhys.15.4.145. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=155485

Gradivo je del revije

• Naslov: SciPost physics
• Založnik: SciPost Foundation
• ISSN: 2542-4653
• COBISS.SI-ID: 526154521

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: statistična mehanika, disipativni sistemi, ergodičnost, odprti kvantni sistemi

Projekti

• Financer: EC - European Commission
• Program financ.: European Commission
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES

• Financer: ARIS - Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
• Številka projekta: P1-0402-2019
• Naslov: Matematična fizika