Convergence radius of perturbative Lindblad-driven nonequilibrium steady states

Lemos, Humberto C. F. (avtor), Prosen, Tomaž (avtor)

We address the problem of analyzing the radius of convergence of perturbative expansion of nonequilibrium steady states of Lindblad-driven spin chains. A simple formal approach is developed for systematically computing the perturbative expansion of small driven systems. We consider the paradigmatic model of an open XXZ spin-1/2 chain with boundary-supported ultralocal Lindblad dissipators and treat two different perturbative cases: (i) expansion in the system-bath coupling parameter and (ii) expansion in the driving (bias) parameter. In the first case (i) we find that the radius of convergence quickly shrinks with increasing the system size, while in the second case (ii) we find that the convergence radius is always larger than 1, and in particular it approaches 1 from above as we change the anisotropy from an easy-plane (XY) to an easy-axis (Ising) regime.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, open systems, spin chains
• Vrsta gradiva: Znanstveno delo
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Založnik: American Physical Society
• Leto izida: 2017
• Št. strani: Str. 042137-1-042137-5
• Številčenje: Vol. 95, iss. 4
• PID: 20.500.12556/RUL-94331
• UDK: 530.145
• ISSN pri članku: 2470-0045
• DOI: 10.1103/PhysRevE.95.042137
• COBISS.SI-ID: 3114852

Avtorske pravice

American Physical Society

• Datum objave v RUL: 27.07.2017

Gradivo je del revije

• Naslov: Physical review
• Skrajšan naslov: Phys. rev., E
• Založnik: American Physical Society
• ISSN: 2470-0045
• COBISS.SI-ID: 2048366611

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, odprti sistemi, spinske verige

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open many-body non-equilibrium systems
• Akronim: OMNES