Uncertainty Relation at Finite Temperature
B. L. Hu, Yuhong Zhang
TL;DR
This paper investigates how quantum and thermal fluctuations interact in open quantum systems at finite temperature, analyzing decoherence, relaxation, and the validity of quantum statistical mechanics postulates.
Contribution
It derives the uncertainty relation for open quantum systems at finite temperature using the quantum Brownian model, highlighting the interplay between quantum and thermal fluctuations.
Findings
Quantum fluctuations are affected by thermal interactions.
Decoherence and relaxation processes are characterized.
Conditions for the validity of quantum statistical postulates are identified.
Abstract
We use the quantum Brownian model to derive the uncertainty relation for a quantum open system. We examine how the fluctuations of a quantum system evolve after it is brought in contact with a heat bath at finite temperature. We study the decoherence and relaxation processes and use this example to examine 1) the relation between quantum and thermal fluctuations; and 2) the conditions when the two basic postulates of quantum statistical mechanics become valid.
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