General Multimode Squeezed States

dc.creatorQin, Gan
dc.creatorWang, Ke-lin
dc.creatorLi, Tong-zhong
dc.date2001-09-04
dc.date.accessioned2026-07-07T06:02:39Z
dc.date.available2026-07-07T06:02:39Z
dc.descriptionBy the complex multimode Bogoliubov transformation, we obtain the general forms of squeeze operators and squeezed states including squeezed vacuum states, squeezed coherent states, squeezed Fock states and squeezed coherent Fock states, for a general multimode boson system. We decompose the squeezed operator into disentangling form in normal ordering to simplify the expressions of the squeezed states. We also calculate the statistical properties of the SS. Furthermore we prove that if it is non-degenerate, a Bogoliubov transformation matrix can be decomposed into three basic matrix, by which we can not only check the criterion of the minimum uncertainty state (MUS) found by Milburn, but also prove that except the special cases, any multimode squeezed state is MUS after the original creation and annihilation operators rotate properly. We also discuss some special cases of the three basic matrices. Finally we give an analytical results of a two-mode system as an example.
dc.description15 pages, 0 figures, 12 references, RevTeX file
dc.identifierhttps://arxiv.org/abs/quant-ph/0109020
dc.identifierhttp://arxiv.org/abs/quant-ph/0109020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89686
dc.subjectQuantum Physics
dc.titleGeneral Multimode Squeezed States
dc.typetext

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