Dissipative quantum oscillator with two competing heat baths
arXiv:cond-mat/0608484 · doi:10.1088/1367-2630/8/8/149
Abstract
We study the dissipative dynamics of a harmonic oscillator which couples linearly through its position and its momentum to two independent heat baths at the same temperature. We argue that this model describes a large spin in a ferromagnet. We find that some effects of the two heat baths partially cancel each other. This leads to unexpected features such as underdamped oscillations and long relaxation times in the strong coupling regime. Such a partial frustration of dissipation can be ascribed to the canonically conjugate character of position and momentum. We compare this model to the scenario where a single heat bath couples linearly to both the position and the momentum of the central oscillator. In that case less surprising behavior occurs for strong coupling. The dynamical evolution of the quantum purity for a single and a double wave packet is also investigated.
27 pages 4 Figures
References in corpus (10)
- Exact time evolution and master equations for the damped harmonic oscillator
- Decoherence and Initial Correlations in Quantum Brownian Motion
- Quantum Magnetic Impurities in Magnetically Ordered Systems
- Frustration of Decoherence in Open Quantum Systems
- Purity and decoherence in the theory of a damped harmonic oscillator
- Decoherence alias Loschmidt echo of the environment
- Quantum thermodynamics of systems with anomalous dissipative coupling
- Quasiclassical frustration
- Phase resolution limit in macroscopic interference between Bose-Einstein condensates
- Quantum electrodynamic fluctuations of the macroscopic Josephson phase
Cited by in corpus (17)
- Dissipation Induced Structural Instability and Chiral Dynamics in a Quantum Gas
- Frustration of decoherence in -shaped superconducting Josephson networks
- Momentum coupling in non-Markovian Quantum Brownian motion
- Quantum phase transition with dissipative frustration
- Influence of an external magnetic field on the decoherence of a central spin coupled to an antiferromagnetic environment
- Equilibrium states of a test particle coupled to finite size heat baths
- Minimal coupling in oscillator models of quantum dissipation
- Non-equilibrium dynamics of a system with Quantum Frustration
- Reentrant enhancement of quantum fluctuations for symmetric environmental coupling
- Quantum frustration of dissipation by a spin bath
- 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
- Charge conservation breaking within generalized master equation description of electronic transport through dissipative double quantum dots
- Control of quantum thermodynamic behaviour of a charged magneto oscillator with momentum dissipation
- Exponential speedup of incoherent tunneling via dissipation
- Engineering the speedup of quantum tunneling in Josephson systems via dissipation