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Springer eBooks

Coherent Phase State and Squeezed Phase State

Jeffrey H. Shapiro, Scott Roger Shepard, N. C. Wong

Published Jan 1, 1990• 4 citations
Publisher
DOI
10.1007/978-1-4613-0847-8_195

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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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PB Phase Coherent States are very important quantum states in quantum optics. In order to investigate the amplitude- Nth -power squeezing of PB Phase Coherent States, we introduce the algebraic properties of the PB phase operator and the PB Phase Coherent States which are constructed by PB phase theory. We applied amplitude- Nth -power squeezing theory to define the Amplitude- Nth -Power Squeezing of PB Phase Coherent States and investigate the characteristic of the amplitude- Nth -power squeezing of PB Phase Coherent States.Phase Coherent State), the results show that when Z is a real number there only exists amplitude- Nth -power squeezing of X component; when Z is a complex number, there exists amplitude- Nth -power squeezing ofX component and Y component; when Z is a pure imaginary number, if N is odd, then there does not exist amplitudeNth -power squeezing of X component, but there exists amplitude- Nth -power squeezing of Ycomponent and ifN is even, then there exists amplitude-Nth -power squeezing of X component, but there does not exist amplitudeNth -power squeezing of Y component.

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Amplitude-Nth-power squeezing of PB phase coherent states

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PB Phase Coherent States are very important quantum states in quantum optics. In order to investigate the amplitude-Nth-power squeezing of PB Phase Coherent States, we introduce the algebraic properties of the PB phase operator and the PB Phase Coherent States which are constructed by PB phase theory. We applied amplitude-Nth-power squeezing theory to define the Amplitude-Nth-Power Squeezing of PB Phase Coherent States and investigate the characteristic of the amplitude-Nth-power squeezing of PB Phase Coherent States. We obtained surprising results, in that the results were different from the other quantum states. As for |Z〉(PB Phase Coherent State), the results show that when Z is a real number there only exists amplitude-Nth-power squeezing of component; when Z is a complex number, there exists amplitude-Nth-power squeezing of component and component; when Z is a pure imaginary number, if N is odd, then there does not exist amplitude-Nth-power squeezing of component, but there exists amplitude-Nth-power squeezing of component and if N is even, then there exists amplitude-Nth-power squeezing of component, but there does not exist amplitude-Nth-power squeezing of component.

哈尔滨工业大学学报:英文版•Jan 1, 2004•0 citations
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.
PB Phase Coherent States are very important quantum states in quantum optics. In order to investigate the amplitude- Nth -power squeezing of PB Phase Coherent States, we introduce the algebraic properties of the PB phase operator and the PB Phase Coherent States which are constructed by PB phase theory. We applied amplitude- Nth -power squeezing theory to define the Amplitude- Nth -Power Squeezing of PB Phase Coherent States and investigate the characteristic of the amplitude- Nth -power squeezing of PB Phase Coherent States.Phase Coherent State), the results show that when Z is a real number there only exists amplitude- Nth -power squeezing of X component; when Z is a complex number, there exists amplitude- Nth -power squeezing ofX component and Y component; when Z is a pure imaginary number, if N is odd, then there does not exist amplitudeNth -power squeezing of X component, but there exists amplitude- Nth -power squeezing of Ycomponent and ifN is even, then there exists amplitude-Nth -power squeezing of X component, but there does not exist amplitudeNth -power squeezing of Y component.
PB Phase Coherent States are very important quantum states in quantum optics. In order to investigate the amplitude-Nth-power squeezing of PB Phase Coherent States, we introduce the algebraic properties of the PB phase operator and the PB Phase Coherent States which are constructed by PB phase theory. We applied amplitude-Nth-power squeezing theory to define the Amplitude-Nth-Power Squeezing of PB Phase Coherent States and investigate the characteristic of the amplitude-Nth-power squeezing of PB Phase Coherent States. We obtained surprising results, in that the results were different from the other quantum states. As for |Z〉(PB Phase Coherent State), the results show that when Z is a real number there only exists amplitude-Nth-power squeezing of component; when Z is a complex number, there exists amplitude-Nth-power squeezing of component and component; when Z is a pure imaginary number, if N is odd, then there does not exist amplitude-Nth-power squeezing of component, but there exists amplitude-Nth-power squeezing of component and if N is even, then there exists amplitude-Nth-power squeezing of component, but there does not exist amplitude-Nth-power squeezing of component.