On the generation of number states, their single- and two-mode superpositions, and two-mode binomial state in a cavity

Abstract

The proposed schemes in this paper involve the interaction of a two-level atom with single-or two-mode quantized cavity fields (for different purposes) in the presence of a classical field. Indeed, following the path of Solano et al. in [Phys. Rev. Lett. 90, 027903 (2003)], the behavior of the entire atom-field system may be described by the Jaynes-Cummings (JC)-and anti-Jaynes-Cummings (anti-JC)-like models. It is illustrated that, under specific conditions, the effective Hamiltonian of the system can be switched from a JC-to an anti-JC-like model. During the process, the two-level atom in the cavity is alternately affected by the above two effective interactions. Ultimately, after the occurrence of the desired interactions in appropriate setups, the cavity field will arrive at a specific superposition of number states, a fixed number state, and in particular, two-mode binomial field states. Moreover, the entanglement property of the two-mode binomial state is investigated by evaluating the entropy criterion. While there exist various proposals for preparation of number states and their superpositions in the literature, our scheme has the advantage that it is independent of the detection of the atomic state after the interaction occurs.

Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations

“…Spin-coherent states belong to a class of generalised coherent states that allow for different displacement operators, in this case of the form where are the spin-raising and lowering operators [ 52 , 53 , 71 ]. Proposals for the generation of binomial states have been developed in atomic systems [ 56 , 57 ] and they have been suggested as analogues to coherent states for rotational systems [ 73 , 74 ]. These examples indicate that binomial states are of natural physical interest.…”

“…Binomial states can be viewed as analogues of coherent states for finite dimensional systems rather than infinite dimensional oscillators [ 52 , 53 ], leading to highly non-classical properties [ 54 , 55 ]. While binomial states are harder to produce in lab settings, there have been proposals [ 56 , 57 ]. The derived equality effectively generalises the coherent state Crooks equality of Holmes et al [ 40 ], incorporating finite sized effects and leading to the coherent state equality in the appropriate limit.…”

Entanglement and Other Nonclassical Properties of Two Two-Level Atoms Interacting with a Two-Mode Binomial Field: Constant and Intensity-Dependent Coupling Regimes

“…, where the second and third ones are the well-known Bell states which are maximally entangled states. In addition, to achieve the aim of the paper, we assume that the field is initially in a twomode binomial state [24] |Ψ…”

“…As one of our motivations for choosing the two-mode binomial field state, we would like to refer to our recent theoretical scheme in Ref. [24] which demonstrates that there exists a model Hamiltonian which can successfully generate the two-mode binomial field state, too.…”

Entanglement, quantum statistics and squeezing of twoΞ-type three-level atoms interacting nonlinearly with a single-mode field

“…The Jaynes-Cummings model (JCM) is a standard model in quantum optics which simply describes the interaction between a two-level atom with a quantized electromagnetic field [1]. This model, which contains a dipole as well as a rotating wave approximation, is not only solvable, but also reveals some interesting dynamical properties of atom-field interactions such as entanglement [2][3][4][5], the collapse-revival phenomenon [6], quadrature squeezing [7,8], entropy squeezing [9], sub-Poissonian statistics [10], etc. Various generalizations have been proposed to extend JCM.…”