Quantum Chaotic Attractor in a Dissipative System
- 28 April 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (17) , 3278-3281
- https://doi.org/10.1103/physrevlett.78.3278
Abstract
A dissipative quantum system is treated here by coupling it with a heat bath of harmonic oscillators. Through quantum Langevin equations and Ehrenfest's theorem, we establish explicitly the quantum Duffing equations with a double-well potential chosen. A quantum noise term appears the only driving force in dynamics. Numerical studies show that the chaotic attractor exists in this system while chaos is certainly forbidden in the classical counterpart.Keywords
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This publication has 18 references indexed in Scilit:
- An example of the decoherence approach to quantum dissipative chaosPhysics Letters A, 1995
- Quantum state diffusion, localization and computationJournal of Physics A: General Physics, 1995
- Chaoticlike Behavior in a Quantum System without Classical CounterpartPhysical Review Letters, 1995
- Semiquantal dynamics of fluctuations: Ostensible quantum chaosPhysical Review Letters, 1994
- The Transition to ChaosPublished by Springer Nature ,1992
- Quantum NoisePublished by Springer Nature ,1991
- Generalized Coherent States and Their ApplicationsPublished by Springer Nature ,1986
- Path integral approach to quantum Brownian motionPhysica A: Statistical Mechanics and its Applications, 1983
- On the generators of quantum dynamical semigroupsCommunications in Mathematical Physics, 1976
- The theory of a general quantum system interacting with a linear dissipative systemAnnals of Physics, 1963