Universal signature from integrability to chaos in dissipative open quantum systems

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

Povzetek

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.

Ključne besede

kvantna mehanika;kvantni kaos;odprti kvantni sistemi;nelinearna dinamika;statistična fizika;quantum mechanics;quantum chaos;open quantum systems;nonlinear dynamics;statistical physics;

Podatki

Jezik:	Angleški jezik
Leto izida:	2019
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	530.182
COBISS:	3395940
ISSN:	0031-9007
Št. ogledov:	588
Št. prenosov:	466
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	kvantna mehanika;kvantni kaos;odprti kvantni sistemi;nelinearna dinamika;statistična fizika;
Strani:	str. 254101-1-254101-6
Letnik:	ǂVol. ǂ123
Zvezek:	ǂiss. ǂ25
Čas izdaje:	2019
DOI:	10.1103/PhysRevLett.123.254101
ID:	11344507