Chin. Phys. B, 2008, Vol. 17(2): 618-623    DOI: 10.1088/1674-1056/17/2/042
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# The entropic squeezing of superposition of two arbitrary coherent states

Lu Dao-Ming(卢道明)
Department of Electronic Engineering, Wuyi University, Wuyishan 354300, China
Abstract  In this paper the superpositions of two arbitrary coherent states $\left| \psi \right\rangle = a\left| \beta \right\rangle + b{\rm e}^{{\rm i}\varphi }\left| {m\beta {\rm e}^{{\rm i}\delta }} \right\rangle$ are constructed by using the superposition principle of quantum mechanics. The entropic squeezing effects of the quantum states are studied. The numerical results indicate that the amplitudes, the ratio between the amplitudes of two coherent states, the phase difference between the two components and the relative phase of the two coefficients play important roles in the squeezing effects of the position entropy and momentum entropy.
Keywords:  coherent state      superposition state      entropy squeezing
Received:  05 March 2007      Revised:  16 April 2007      Accepted manuscript online:
 PACS: 42.50.Dv (Quantum state engineering and measurements) 03.65.-w (Quantum mechanics)
Fund: Project supported by the Natural Science Foundation of Fujian Province, China (Grant No T0650013).