States interpolating between number and coherent states and their interaction with atomic systems

Abstract

Using the eigenvalue definition of binomial states we construct new intermediate number-coherent states which reduce to number and coherent states in two different limits. We reveal the connection of these intermediate states with photon-added coherent states and investigate their non-classical properties and quasi-probability distributions in detail. It is of interest to note that these new states, which interpolate between coherent states and number states, neither of which exhibit squeezing, are nevertheless squeezed states. A scheme to produce these states is proposed. We also study the interaction of these states with atomic systems in the framework of the two-photon Jaynes-Cummings model, and describe the response of the atomic system as it varies between the pure Rabi oscillation and the collapse-revival mode and investigate field observables such as photon number distribution, entropy and the Q-function.

26 pages, 29 EPS figures, Latex, Accepted for publication in J.Phys.A

References in corpus (1)

• Optimal Signal-to-Quantum Noise Ratio for Nonclassical Number States

Cited by in corpus (5)

• Representations of Coherent States in Non-orthogonal Bases
• Representations of Coherent and Squeezed States in a $f$-deformed Fock Space
• Interpolating Coherent States for Heisenberg-Weyl and Single-Photon SU(1,1) Algebras
• Kerr cat states from the four-photon Jaynes-Cummings model
• Ladder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space