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WORLD SCIENTIFIC eBooks

Squeezing of States

Published Apr 27, 2015• 0 citations
Publisher
DOI
10.1142/9789814696593_0003

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The influence of coherent state strength,phase angle and squeezing parameter on position and momentum entropic squeezing for squeezed even and odd coherent were discussed by numerical calculations.The results show that both the two states exhibit the entropic squeezing,and the maximum squeezing in squeezed even coherent state is greater than that of squeezed odd coherent state.The squeezing is related to the strength of coherent state,phase angle and squeezing parameter,in which the squeezing is related to the strength of coherent state,phase angle and squeezing parameter,in which the squeezing parameter is the principal factor.The squeezing of position entropy (or momentum entropy) for squeezed even coherent state will reach its maximum under the condition that the squeezing parameter ｜β｜=0.95 and other parameters are fixed.But this character does not exist in squeezed odd coherent state.

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Squeezing and Feedback

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The influence of coherent state strength,phase angle and squeezing parameter on position and momentum entropic squeezing for squeezed even and odd coherent were discussed by numerical calculations.The results show that both the two states exhibit the entropic squeezing,and the maximum squeezing in squeezed even coherent state is greater than that of squeezed odd coherent state.The squeezing is related to the strength of coherent state,phase angle and squeezing parameter,in which the squeezing is related to the strength of coherent state,phase angle and squeezing parameter,in which the squeezing parameter is the principal factor.The squeezing of position entropy (or momentum entropy) for squeezed even coherent state will reach its maximum under the condition that the squeezing parameter ｜β｜=0.95 and other parameters are fixed.But this character does not exist in squeezed odd coherent state.
Photon-added squeezed vacuum states were fabricated by act inverse operator of Boson annihilation operator ~(-1) and Boson creation operator ~+ on the squeezed vacuum states first.Then the squeezing properties of the photon-added squeezed vacuum states are discussed.The results show that only the photon-added squeezed state which was acted on ~+ can appear squeezing effects,but was acted on ~(-1) did not.The squeezing range have relation with the squeezing parameter η.So the squeezing properties of the photon-added squeezed vacuum states have closed relation with ~(-1) and ~+.
A kind of new quantum states is fabricated by acting on the squeezed vacuum state with the operator +-1 and the squeezing effects of the two quadrature components of the states are discussed.The results show that the squeezing characteristic of the quantum states are correlated with the times of the operator act on the squeezed vacuum state.The two quadrature components of the states produce the squeezing effects in different range of the squeezing parameter η respectively when the operator +-1 act on the squeezed vacuum state one time only as well as for all the even times.The squeezing effects gradually weaken when the times of the operator act on the squeezed vacuum state added.