Image:The Geometry of Squeezed States.pdf
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This research paper formulates the geometry of squeezed coherent states.The essence of time evolution of quantal states is captured elegantly through the formulation of the underlying geometry. An example of such an approach is provided by the Berry’s phase. A somewhat general framework is available through the metric in projective Hilbert space in the submanifold described by the parameters characteristic of the system. This also serves to put in proper perspective quantum correlations. The objective of this paper is to present these notions in the context of the squeezed state. The organization of this article is as follows : first the metric is introduced and then treating time as a parameter, the point of view is discussed wherein the rate of change of the state of a system is seen as a ‘velocity’ in projective Hilbert space; the essential features of the squeezed state is next laid down and this is followed by a description of the calculation of the corresponding metric; finally discussions and conclusions are set forth to round off the presentation.
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| Date/Time | Dimensions | User | Comment | |
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| current | 12:10, 12 June 2007 | (109 KB) | Rathidasgupta (Talk | contribs) | (This research paper formulates the geometry of squeezed coherent states.The essence of time evolution of quantal states is captured elegantly through the formulation of the underlying geometry. An example of such an approach is provided by the Berry’s p) |
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