Decoherence by a nonlinear environment: canonical vs. microcanonical case

Details Decoherence by a nonlinear environment: canonical vs. microcanonical case Decoherence by a nonlinear environment: canonical vs. microcanonical case

2002-02-21

arxiv.org/abs/quant-ph/0202125v3

Phys. Rev. A 66, 032312 (2002)

Physics

Quantum Physics

18 pages, revtex, 2 figures; minor textual changes, corrected typo in eq. (53) (v2); textual changes, mostly in the introducti

Scientific paper

10.1103/PhysRevA.66.032312

We compare decoherence induced in a simple quantum system (qubit) for two different initial states of the environment: canonical (fixed temperature) and microcanonical (fixed energy), for the general case of a fully interacting oscillator environment. We find that even a relatively compact oscillator bath (with the effective number of degrees of freedom of order 10), initially in a microcanonical state, will typically cause decoherence almost indistinguishable from that by a macroscopic, thermal environment, except possibly at singularities of the environment's specific heat (critical points). In the latter case, the precise magnitude of the difference between the canonical and microcanonical results depends on the critical behavior of the dissipative coefficient, characterizing the interaction of the qubit with the environment.

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