Classical properties of the leading eigenstates of quantum dissipative systems

• Main Authors: Carlo, Gabriel G, Ermann, Leonardo, Rivas, Alejandro M. F, Spina, María E
• Format: Journal Article
• Language: English
• Published: 10-05-2017
• Subjects: Physics - Chaotic Dynamics; Physics - Quantum Physics
• DOI: 10.48550/arxiv.1705.03847

Phys. Rev. E 96, 032202 (2017) By analyzing a paradigmatic example of the theory of dissipative systems --
the classical and quantum dissipative standard map -- we are able to explain
the main features of the decay to the quantum equilibrium state. The classical
isoperiodic stable structures typically present in the parameter space of these
kind of systems play a fundamental role. In fact, we have found that the period
of stable structures that are near in this space determines the phase of the
leading eigenstates of the corresponding quantum superoperator. Moreover, the
eigenvectors show a strong localization on the corresponding periodic orbits
(limit cycles). We show that this sort of scarring phenomenon (an established
property of Hamiltonian and projectively open systems) is present in the
dissipative case and it is of extreme simplicity.