Uncertainty principle in a cavity at finite temperature

Abstract

We employ a dressed state approach to perform a study on the behavior of the uncertainty principle for a system in a heated cavity. We find, in a small cavity for a given temperature, an oscillatory behavior of the momentum--coordinate product, $(\Delta p)(\Delta q)$, which attains periodically finite absolute minimum (maximum) values, no matter large is the elapsed time. This behavior is in a sharp contrast with what happens in free space, in which case, the product $(\Delta p)(\Delta q)$ tends asymptotically, for each temperature, to a constant value, independent of time.

5 pages, 1 figure, version as accepted to be published in Phys. Rev. A

References in corpus (6)

• Time evolution of a superposition of dressed oscillator states in a cavity
• Renormalized coordinate approach to the thermalization process
• Thermal Effects on the Stability of Excited Atoms in Cavities
• Behavior of a bipartite system in a cavity
• Time evolution of entangled biatomic states in a cavity
• Addendum: Behavior of a bipartite system in a cavity