Full spectrum of the Liouvillian of open dissipative quantum systems in the Zeno limit

Popkov, Vladislav (avtor), Presilla, Carlo (avtor)

We consider an open quantum system with dissipation, described by a Lindblad Master equation (LME). For dissipation locally acting and sufficiently strong, a separation of the relaxation timescales occurs, which, in terms of the eigenvalues of the Liouvillian, implies a grouping of the latter in distinct vertical stripes in the complex plane at positions determined by the eigenvalues of the dissipator. We derive effective LME equations describing the modes within each stripe separately, and solve them perturbatively, obtaining for the full set of eigenvalues and eigenstates of the Liouvillian explicit expressions correct at order 1/Γ included, where Γ is the strength of the dissipation. As an example, we apply our general results to quantum XYZ spin chains coupled, at one boundary, to a dissipative bath of polarization.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, open quantum systems, nonlinear dynamics
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2021
• Št. strani: Str. 190402-1-190402-6
• Številčenje: Vol. 126, iss. 19
• PID: 20.500.12556/RUL-130373
• UDK: 530.145
• ISSN pri članku: 0031-9007
• DOI: 10.1103/PhysRevLett.126.190402
• COBISS.SI-ID: 76234499
• Datum objave v RUL: 14.09.2021

Gradivo je del revije

• Naslov: Physical review letters
• Skrajšan naslov: Phys. rev. lett.
• Založnik: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, odprti kvantni sistemi, nelinearna dinamika

Projekti

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