Information entropy squeezing of the atom of an arbitrary initial state via the two-photon process

Abstract

From the quantum information point of view we investigate the entropy squeezing properties of a two_level atom with arbitrary initial state interacting with the coherent field via the two_photon process. The influence of the initial state of the system on the atomic information entropy squeezing is discussed. The numerical results obtained from the uncertainly relation of quantum information entropy are compared with those obtained from the uncertainly relation of Heisenberg. It is shown that the number of squeezed component of the atomic dipole, squeezed frequency, squeezed amplitude and squeezed direction of the atomic information entropy squeezing can be controlled by choosing the initial atomic distribution angle, the atomic mixing degree and the relative phase of the field mode, respectively. Quantum information entropy is a remarkable precise measure for the atomic squeezing.

Quantum entanglement between the two-mode fields and atomic entropy squeezing in the system of a moving atom interacting with two-mode entangled coherent field

“…This corresponds to the result obtained in Ref. [16]. Thus we focus the attention on the discussion of E(S y ) (the entropy squeezing of the component S y ) by a numerical calculation method.…”

Single-atom entropy squeezing and quantum entanglement in Tavis–Cummings model with atomic motion

“…[6], and correspond to the results obtained in Ref. [7]. Figure 2 presents the numerical results of the time evolution of E(S y ) for different initial states of the two atoms with p = 1, φ = π, and n = 36.…”

“…[15] Several authors found an elegant entropic way of reformulating the HUR by using quantum entropy theory, and obtained an entropic uncertainty relation (EUR), which could be free from the triviality of the HUR. [7,16,17] Quantum entanglement is one of the most strik-ing features of quantum mechanics. It has been recognized as a resource in quantum information processing [19] and quantum computing.…”

Entropy squeezing of an atom with a k -photon in the Jaynes–Cummings model

“…[22] This difficulty has been overcome by using the entropy uncertainty relation (EUR). [23,24] The entropy squeezing effect of atoms has been studied in many other systems, such as the two-photon JCM, [25] JCM in a nonlinear medium, [26,27] and two-atom JCM. [28] More recently, much interest has been aroused in entropy squeezing and entanglement in solid-state circuit QED, [29−31] in which a nano-resonator serves as a cavity.…”