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Modern Physics Letters A

THE GENERAL EXPONENTIAL QUADRATIC MULTIMODE SQUEEZED STATES

Lei Ma, YONG-DE ZHANG, Jian-Wei Pan, Xiang‐Bin Wang

Published Mar 28, 1995• 4 citations
Publisher

Abstract

In this letter the exponential quadratic multimode squeezed states are studied with the aid of the linear quantum transformation. The restrictive relations and the forms of the above general squeezed states are obtained.
DOI
10.1142/s0217732395000892

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By 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.
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