Universal signature from integrability to chaos in dissipative open quantum systems

Akemann, Gernot (avtor), Kieburg, Mario (avtor), Mielke, Adam (avtor), Prosen, Tomaž (avtor)

We study the transition between integrable and chaotic behavior in dissipative open quantum systems, exemplified by a boundary driven quantum spin chain. The repulsion between the complex eigenvalues of the corresponding Liouville operator in radial distance $s$ is used as a universal measure. The corresponding level spacing distribution is well fitted by that of a static two-dimensional Coulomb gas with harmonic potential at inverse temperature $\beta \in [0,2]$. Here, $\beta=0$ yields the two-dimensional Poisson distribution, matching the integrable limit of the system, and $\beta=2$ equals the distribution obtained from the complex Ginibre ensemble, describing the fully chaotic limit. Our findings generalize the results of Grobe, Haake, and Sommers, who derived a universal cubic level repulsion for small spacings $s$. We collect mathematical evidence for the universality of the full level spacing distribution in the fully chaotic limit at $\beta=2$. It holds for all three Ginibre ensembles of random matrices with independent real, complex, or quaternion matrix elements.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, quantum chaos, open quantum systems, nonlinear dynamics, statistical physics
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2019
• Št. strani: Str. 254101-1-254101-6
• Številčenje: Vol. 123, iss. 25
• PID: 20.500.12556/RUL-113303
• UDK: 530.182
• ISSN pri članku: 0031-9007
• DOI: 10.1103/PhysRevLett.123.254101
• COBISS.SI-ID: 3395940
• Datum objave v RUL: 19.12.2019

AKEMANN, Gernot, KIEBURG, Mario, MIELKE, Adam in PROSEN, Tomaž, 2019, Universal signature from integrability to chaos in dissipative open quantum systems. Physical review letters [na spletu]. 2019. Vol. 123, no. 25, p. 254101-1-254101–6. [Dostopano 8 april 2025]. DOI 10.1103/PhysRevLett.123.254101. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=113303

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, kvantni kaos, odprti kvantni sistemi, nelinearna dinamika, statistična fizika

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