Physics – Quantum Physics
Scientific paper
2007-02-10
Phys. Rev. A 66, 042117 (2002)
Physics
Quantum Physics
23 pages, 8 figures
Scientific paper
10.1103/PhysRevA.66.042117
In the framework of the Lindblad theory for open quantum systems, we derive closed analytical expressions of the Heisenberg and Schr\"odinger 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.
Isar Aurelian
Scheid Werner
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