Acta Photonica Sinica, Volume. 39, Issue 4, 739(2010)
Phase Probability Distribution and Wigner Function of the Superposition of Two Arbitrary Coherent States
The quantum statistical properties of the superposition state, which involve two arbitrary coherent states |β〉 and |mβeiδ〉, are investigated from two aspects, such as the phase distribution and Winger function. The results show that the non-classical properties of the superposition state depend on β2, amplitude coefficient m, the phase difference between the coherent states δ, and the phase difference between the superposition coefficients . When selected suitable parameters the superposition state exhibits quantum effect. The phase distribution and Wigner function of an equally populated mixture of two coherent states are derived, too. By comparison the results show that the presence of the coherence terms makes the superposition state with full quantum-mechanical behavior.
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ZHANG Ai-ping, SHI Yi-min, WEI Nuo. Phase Probability Distribution and Wigner Function of the Superposition of Two Arbitrary Coherent States[J]. Acta Photonica Sinica, 2010, 39(4): 739
Received: Jul. 2, 2009
Accepted: --
Published Online: May. 24, 2010
The Author Email: Ai-ping ZHANG (apzhang163@163.com)
CSTR:32186.14.