Squeezing evolution with non-dissipative SU(1,1) systems
Faisal A. A. El-Orany, S. S. Hassan, M. Sebawe Abdalla
TL;DR
This paper explores the phase space squeezing properties of non-dissipative SU(1,1) systems, analyzing two types of generalized coherent states to understand their quantum squeezing behavior.
Contribution
It provides a detailed analysis of squeezing regions in phase space for SU(1,1) systems using Perelomov and Barut-Girardello coherent states, highlighting their quantum properties.
Findings
Identification of squeezing regions in phase space
Comparison of PCS and BGCS squeezing properties
Insights into non-dissipative SU(1,1) dynamics
Abstract
We investigate the squeezed regions in the phase plane for non-dissipative dynamical systems controlled by SU(1,1) Lie algebra. We analyze such study for the two SU(1,1) generalized coherent states, namely, the Perelomov coherent state (PCS) and the Barut-Girardello Coherent state (BGCS).
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