Correspondence between field generalized binomial states and coherent atomic states

Abstract

We show that the $N$-photon generalized binomial states of electromagnetic field may be put in a bijective mapping with the coherent atomic states of $N$ two-level atoms. We exploit this correspondence to simply obtain both known and new properties of the $N$-photon generalized binomial states. In particular, an over-complete basis of these binomial states and an orthonormal basis are obtained. Finally, the squeezing properties of generalized binomial state are analyzed.

11 pages, 6 figures

References in corpus (6)

• Generating and Revealing a Quantum Superposition of Electromagnetic Field Binomial States in a Cavity
• Single-Shot Generation and Detection of a Two-Photon Generalized Binomial State in a Cavity
• Bell's inequality violation for entangled generalized Bernoulli states in two spatially separate cavities
• Single-shot measurement of quantum optical phase
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Cited by in corpus (8)

• Time-Local Quantum-State-Diffusion Equation for Multilevel Quantum Dynamics
• Efficient generation of $N$-photon generalized binomial states in a cavity
• Collapse-revival of quantum discord and entanglement
• Quantum discord amplification induced by quantum phase transition via a cavity-Bose-Einstein-condensate system
• Spin squeezing and entanglement via finite-dimensional discrete phase-space description
• Studying the squeezing effect and phase space distribution of single-photon-added coherent state using postselected von Neumann measurement
• Generalized Binomial Probability Distributions attached to Landau levels on the Riemann sphere
• Amplitude-squared squeezing of Schrödinger cat states via Postselected von Neumann Measurement