Reentrant enhancement of quantum fluctuations for symmetric environmental coupling
arXiv:1204.4132 · doi:10.1103/PhysRevE.81.041110
Abstract
The `system-plus-reservoir' (SPR) model is the most common and effective approach to study quantum dissipative effects. Indeed, it makes quantization possible by considering the whole energy-conserving system, while the reservoir's degrees of freedom, assumed to be harmonic, can be `traced out' by the path-integral technique, leading to a formulation that only includes the system of interest. In the standard SPR model the environment is only coupled with the system's coordinate and turns out to quench its quantum fluctuations. However, there are physical systems coupled with an environment whose `coordinates' and `momenta' can be completely interchangeable (e.g., magnets), so an SPR coupling must symmetrically affect both canonical variables. In this paper such a general environmental coupling is studied in the case of a harmonic oscillator. It is found that quantum fluctuations are generally enhanced by environmental coupling, with an unexpected nonmonotonic behavior. This leads one to speculate about the possibility that spin-lattice coupling could drive the 2D Heisenberg antiferromagnet to reach its quantum-critical point.
arXiv comment11 pages, 10 figures
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Cited by in corpus (8)
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- Minimal coupling in oscillator models of quantum dissipation
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- Enhancement of Geometric Phase by Frustration of Decoherence: A Parrondo like Effect
- Dissipation-induced enhancement and squeezing of quantum fluctuations
- Effects of a dissipative coupling to the momentum of a particle in a double well potential
- Exponential speedup of incoherent tunneling via dissipation
- Engineering the speedup of quantum tunneling in Josephson systems via dissipation