Spectral and steady-state properties of random Liouvillians

Sá, Lucas (avtor), Ribeiro, Pedro (avtor), Prosen, Tomaž (avtor)

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We establish that the global spectral features, the spectral gap, and the steady-state properties follow three different regimes as a function of the dissipation strength, whose boundaries depend on the particular quantity. Within each regime, we determine the scaling exponents with the dissipation strength and system size. We find that, for two or more dissipation channels, the spectral gap increases with the system size. The spectral distribution of the steady state is Poissonian at low dissipation strength and conforms to that of a random matrix once the dissipation is sufficiently strong. Our results can help to understand the long-time dynamics and steady-state properties of generic dissipative systems.

• Jezik: Angleški jezik
• Ključne besede: open quantum systems, quantum chaos
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2020
• Št. strani: 20 str.
• Številčenje: Vol. 53, art. no. 305303
• PID: 20.500.12556/RUL-117819
• UDK: 530.145
• ISSN pri članku: 1751-8113
• DOI: 10.1088/1751-8121/ab9337
• COBISS.SI-ID: 23780099
• Datum objave v RUL: 28.07.2020

SÁ, Lucas, RIBEIRO, Pedro in PROSEN, Tomaž, 2020, Spectral and steady-state properties of random Liouvillians. Journal of physics : Mathematical and theoretical [na spletu]. 2020. Vol. 53, no. 305303. [Dostopano 8 april 2025]. DOI 10.1088/1751-8121/ab9337. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=117819

Gradivo je del revije

• Naslov: Journal of physics : Mathematical and theoretical
• Skrajšan naslov: J. phys., A, Math. theor.
• Založnik: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: odprti kvantni sistemi, kvantni kaos

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: P1-0402
• Naslov: Matematična fizika