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Squeezing evolution with non-dissipative and dissipative SU(2) systems

S S Hassan1, M Sebawe Abdalla2, G M Abd Al-Kader3,5 and L A-M Hanna4

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We examine the time-dependent squeezing of fluctuations associated with the atomic coherent state of the SU(2) Lie algebra. Based on the exact solutions for a non-dissipative SU(2) system, regions of squeezing and its symmetric/asymmetric patterns are investigated in the cases of weak and strong coupling and for the resonance condition. For a spontaneously damped two-level atom, transient squeezing occurs in the atomic polarization components with initial atomic coherent state |θ,phirangle, with asymmetric structure with respect to the state-of-zero atomic inversion. The rapidly vanishing squeezed regions for <θ<π are accompanied by entropy reduction.


PACS

42.50.Dv Quantum state engineering and measurements

42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps

32.80.Qk Coherent control of atomic interactions with photons

03.65.Fd Algebraic methods

42.50.Md Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency

Subjects

Atomic and molecular physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 3 (June 2002)

Received 19 December 2001, in final form 29 January 2002

Published 27 March 2002



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