Quantum chaos in quantum dots coupled to bosons

Chaos transition, as an important topic, has become an active research subject in non-linear science. By considering a Dicke Hamiltonian coupled to a bath of harmonic oscillator, we have been able to introduce a logistic map with quantum corrections. Some basic dynamical properties, such as Lyapunov...

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Bibliographic Details
Published inarXiv.org
Main Authors Ahadpour, S, Hematpour, N
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.07.2012
Subjects
Bifurcations
Bosons
Chaos theory
Harmonic oscillators
Liapunov exponents
Quantum dots
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Summary:Chaos transition, as an important topic, has become an active research subject in non-linear science. By considering a Dicke Hamiltonian coupled to a bath of harmonic oscillator, we have been able to introduce a logistic map with quantum corrections. Some basic dynamical properties, such as Lyapunov exponents and bifurcation diagram of the model are studied. we show that in this model, the transition from integrable motion to periodic, chaotic and hyperchaotic as the control parameter \(r\) is increased.
Bibliography:content type line 50
SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
ISSN:2331-8422