2011
DOI: 10.1134/s0001434611030308
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Squeezed states and their applications to quantum evolution

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Cited by 6 publications
(4 citation statements)
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“…The A i j elements are responsible for the parametric down-conversion and the B i j elements for the parametric up-conversion. The case B i j = 0 is studied in [6].…”
Section: The Interaction Hamiltonian and Canonical Transformations Ofmentioning
confidence: 99%
“…The A i j elements are responsible for the parametric down-conversion and the B i j elements for the parametric up-conversion. The case B i j = 0 is studied in [6].…”
Section: The Interaction Hamiltonian and Canonical Transformations Ofmentioning
confidence: 99%
“…Let us note that Poisson processes and the correspondent quantum Markov equation arise in physical applications [4,5,6,7]. Unitary evolution with the quadratic generators mentioned above was discussed in [8,9,10,11,12,13,14]. Let us also note that the generator L has Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) form [15,16]…”
Section: Introductionmentioning
confidence: 99%
“…For the theory and recent investigations related to multimode squeezed states see the monograph of C.Gardiner and P.Zoller [6] and the papers of V.Dodonov [8], G.Agarwal [9], N.Schuch et al [10]. In [11] we describe the normal factorization (2) of squeezed states in terms of canonical variables Φ t and Ψ t introduced by F.Berezin in [1]. We reconsider his proof and suggest new expressions for s t which preserve the norm of the corresponding squeezed states.…”
Section: Introductionmentioning
confidence: 99%