New application of Dirac's representation: N-mode squeezing enhanced operator and squeezed state

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dc.creatorXu, Xue-xiang
dc.creatorHu, Li-yun
dc.creatorFan, Hong-yi
dc.date2009-03-05
dc.date.accessioned2026-07-07T12:49:20Z
dc.date.available2026-07-07T12:49:20Z
dc.descriptionIt is known that exp[i\lamda(Q_1P_1-i/2)] is a unitary single-mode squeezing operator, where Q_1,P_1 are the coordinate and momentum operators, respectively. In this paper we employ Dirac's coordinate representation to prove that the exponential operator S_{n}=Exp[i\lamda sum_{i=1}^{n}](Q_{i}P_{i+1}+Q_{i+1}P_{i}))], (Q_{n+1}=Q_1P_{n+1}=P_1), is a n-mode squeezing operator which enhances the standard squeezing. By virtue of the technique of integration within an ordered product of operators we derive S_{n}'s normally ordered expansion and obtain new n-mode squeezed vacuum states, its Wigner function is calculated by using the Weyl ordering invariance under similar transformations.
dc.description8 pages, no figure
dc.identifierhttps://arxiv.org/abs/0903.0997
dc.identifierhttp://arxiv.org/abs/0903.0997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222365
dc.subjectQuantum Physics
dc.titleNew application of Dirac's representation: N-mode squeezing enhanced operator and squeezed state
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