Classical counterparts of quantum attractors in generic dissipative systems
| Autor: | Leonardo Ermann, Dario Poletti, Maria Elena Spina, Gabriel G. Carlo, Alejandro M. F. Rivas |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Quantum Physics QUANTUM CLASSICAL CORRESPONDENCE Ciencias Físicas FOS: Physical sciences Transport theory purl.org/becyt/ford/1.3 [https] Nonlinear Sciences - Chaotic Dynamics 01 natural sciences 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics Astronomía TRANSPORT THEORY purl.org/becyt/ford/1 [https] Classical mechanics DISSIPATIVE SYSTEMS 0103 physical sciences Attractor Dissipative system Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) 010306 general physics Quantum CIENCIAS NATURALES Y EXACTAS QUANTUM CHAOTIC ATTRACTOR |
| Zdroj: | CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| DOI: | 10.1103/PhysRevE.95.062202 |
| Popis: | 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. 7 pages, 5 figures |
| Databáze: | OpenAIRE |
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