The Minimum-Uncertainty Squeezed States for Quantum Harmonic Oscillators

Details The Minimum-Uncertainty Squeezed States for Quantum Harmonic Oscillators The Minimum-Uncertainty Squeezed States for Quantum Harmonic Oscillators

2012-01-04

arxiv.org/abs/1201.0841v2

Physics

Quantum Physics

10 pages, no figures

Scientific paper

We describe a six-parameter family of the minimum-uncertainty squeezed states for the harmonic oscillator in nonrelativistic quantum mechanics. They are derived by the action of corresponding maximal kinematical invariance group on the standard ground state solution. We show that the product of the variances attains the required minimum value 1/4 only at the instances that one variance is a minimum and the other is a maximum, when the "squeezing" of one of the variances occurs. Some applications to quantum optics and cavity quantum electrodynamics are briefly mentioned. By the second quantization, we select the virtual photons in quantum vacuum which are in the minimum-uncertainty squeezed states.

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