Quantum Dissipation due to the Interaction with Chaos

Details Quantum Dissipation due to the Interaction with Chaos Quantum Dissipation due to the Interaction with Chaos

2003-02-16

arxiv.org/abs/cond-mat/0302319v3

Phys.Rev. E69 (2004) 055201

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure, final improved version, to be published as Phys Rev. E Rapid Communication

Scientific paper

10.1103/PhysRevE.69.055201

We discuss the possibility of having "quantum dissipation" due to the interaction with chaotic degrees of freedom. We define the conditions that should be satisfied in order to have a dissipative effect similar to the one due to an interaction with a (many body) bath. We also compare with the case where the environment is modeled by a random matrix model. In case of interaction with "chaos" we observe a regime where the relaxation process is non-universal, and reflects the underlaying semiclassical dynamics. As an example we consider a two level system (spin) that interacts with a two dimensional anharmonic oscillator.

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