https://doi.org/10.1140/epjd/e2007-00304-5
Amplitude-squared squeezing in superposed coherent states
1
Department of Physics, University of Allahabad, Allahabad, 211002, India
2
M.N. Saha Centre of Space Studies, Institute of Interdisciplinary Studies, University of Allahabad, Allahabad, 211002, India
3
Bhavan's Mehta Mahavidyalaya (V.S. Mehta College of Science), Bharwari, Kaushambi, 212201, India
Corresponding authors: a prakash_hari123@rediffmail.com - b pankaj_k25@rediffmail.com
Received:
12
June
2007
Revised:
31
August
2007
Published online:
31
October
2007
We study amplitude-squared squeezing of the Hermitian operator Zθ=Z1 cosθ+Z2 sin θ, in the most general superposition state , of two coherent states and . Here operators Z1,2 are defined by , a is annihilation operator, θ is angle, and complex numbers C1,2 , α, β are arbitrary and only restriction on these is the normalization condition of the state . We define the condition for a state to be amplitude-squared squeezed for the operator Zθ if squeezing parameter , where N=a+a and . We find maximum amplitude-squared squeezing of Zθ in the superposed coherent state with minimum value 0.3268 of the parameter S for an infinite combinations with α- β= 2.16 exp [±i(π/4) + iθ/2], and with arbitrary values of (α+β) and θ. For this minimum value of squeezing parameter S, the expectation value of photon number can vary from the minimum value 1.0481 to infinity. Variations of the parameter S with different variables at maximum amplitude-squared squeezing are also discussed.
PACS: 42.50.Dv – Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007