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Volumn 57, Issue 4, 1998, Pages 4023-4034

Light squeezing at the transition to quantum chaos

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[No Author keywords available]

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EID: 0141486415     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4023     Document Type: Article
Times cited : (12)

References (66)
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    • To our knowledge, enhanced light squeezing at the transition to quantum chaos was predicted in 27. Enhanced light squeezing at the transition to chaos in the generalized Tavis-Cummings model was studied in detail in 28. Strong squeezing of wave packets on a time scale of well-defined quantum-classical correspondence has been discussed by B. V. Chirikov as a characteristic of quantum chaos 29 (see also Sec. 3.1 in 16). Our present consideration of the problem is an extension of 30
    • To our knowledge, enhanced light squeezing at the transition to quantum chaos was predicted in 27. Enhanced light squeezing at the transition to chaos in the generalized Tavis-Cummings model was studied in detail in 28. Strong squeezing of wave packets on a time scale of well-defined quantum-classical correspondence has been discussed by B. V. Chirikov as a characteristic of quantum chaos 29 (see also Sec. 3.1 in 16). Our present consideration of the problem is an extension of 30.
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    • After delocalization of the wave packet, the quantum-classical correspondence may be defined using only a statistical description, in spite of the fact that some semiclassical tools are still valid; see, for example, PRLTAO
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    • A very nice discussion of strong squeezing near bifurcation points is presented in Ref. 25, Sec. 3.2.1, and references cited therein.
    • A very nice discussion of strong squeezing near bifurcation points is presented in Ref. 25, Sec. 3.2.1, and references cited therein.
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    • Strictly speaking, the problem of second-harmonic generation does not belong to the class of systems (3). We analyze in this paper single-mode quantum systems with an explicit time dependence. However, the examples of second-harmonic generation and optical three-wave mixing problems demonstrate that the extension of our formalism to the case of multimode quantum models is straightforward, at least for the case of simple powerwise nonlinearity.
    • Strictly speaking, the problem of second-harmonic generation does not belong to the class of systems (3). We analyze in this paper single-mode quantum systems with an explicit time dependence. However, the examples of second-harmonic generation and optical three-wave mixing problems demonstrate that the extension of our formalism to the case of multimode quantum models is straightforward, at least for the case of simple powerwise nonlinearity.
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    • Note that quick growth of the variance with time for regular trajectories located near chaotic trajectories has been observed in the direct numerical simulation of dynamics of very narrow wave packets in the model of a kicked quantum rotator by , and in recent work 55, PLRAAN
    • Note that quick growth of the variance with time for regular trajectories located near chaotic trajectories has been observed in the direct numerical simulation of dynamics of very narrow wave packets in the model of a kicked quantum rotator by B. L. Lan and R. F. Fox, Phys. Rev. A 43, 646 (1991), and in recent work 55.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.