Uncertainty functions of the open quantum harmonic oscillator in the Lindblad theory
arXiv:quant-ph/0702100 · doi:10.1103/PhysRevA.66.042117
Abstract
In the framework of the Lindblad theory for open quantum systems, we derive closed analytical expressions of the Heisenberg and Schrödinger generalized uncertainty functions for a particle moving in a harmonic oscillator potential. The particle is initially in an arbitrary correlated coherent state, and interacts with an environment at finite temperature. We describe how the quantum and thermal fluctuations contribute to the uncertainties in the canonical variables of the system and analyze the relative importance of these fluctuations in the evolution of the system. We show that upon contact with the bath the system evolves from a quantum-dominated to a thermal-dominated state in a time that is of the same order as the decoherence time calculated in other models in the context of transitions from quantum to classical physics.
23 pages, 8 figures
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Cited by in corpus (8)
- Quantum decoherence and classical correlations of the harmonic oscillator in the Lindblad theory
- Quantum fidelity for Gaussian states describing the evolution of open systems
- Temperature effects on a network of dissipative quantum harmonic oscillators: collective damping and diffusion processes
- Estimation of the spatial decoherence time in circular quantum dots
- The role of interparticle interaction and environmental coupling in a two-particle open quantum system
- Quantum decoherence of the damped harmonic oscillator
- Quadratic Open Quantum Harmonic Oscillator
- Quantum decoherence in the theory of open systems