Classical counterparts of quantum attractors in generic dissipative systems

• Main Authors: Carlo, Gabriel G, Ermann, Leonardo, Rivas, Alejandro M. F, Spina, Maria E, Poletti, Dario
• Format: Journal Article
• Language: English
• Published: 07-03-2017
• Subjects: Physics - Chaotic Dynamics; Physics - Quantum Physics
• DOI: 10.48550/arxiv.1703.02559

Phys. Rev. E 95, 062202 (2017) In the context of dissipative systems, we show that for any quantum chaotic
attractor a corre- sponding classical chaotic attractor can always be found. We
provide with a general way to locate them, rooted in the structure of the
parameter space (which is typically bidimensional, accounting for the forcing
strength and dissipation parameters). In the cases where an approximate point
like quantum distribution is found, it can be associated to exceptionally large
regular structures. Moreover, supposedly anomalous quantum chaotic behaviour
can be very well reproduced by the classical dynamics plus Gaussian noise of
the size of an effective Planck constant $\hbar_{\rm eff}$. We give support to
our conjectures by means of two paradigmatic examples of quantum chaos and
transport theory. In particular, a dissipative driven system becomes
fundamental in order to extend their validity to generic cases.