Two-mode photon-added entangled coherent-squeezed states: their entanglement and nonclassical properties (original) (raw)
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Applied Physics B, 2020
In this paper, at first we consider special type of entangled states named "entangled squeezed coherent states" by using squeezed coherent states. Next, we study the entanglement characteristics of these entangled states by evaluating concur-rence. In the continuation, we investigate some of their nonclassical properties such as quantum statistics which contained sub-Poissonian photon statistics and the oscillatory photon number distribution, second-order correlation function and quad-rature squeezing for different squeezing values of two modes. In addition, we compare the results of the "entangled squeezed coherent states" with those of the common entangled states such as "entangled coherent states", "entangled squeezed vacuum states" and "entangled squeezed one-photon states". Finally, using the proposed theoretical scheme in the previous works, we will generate the entangled squeezed coherent states with different initial conditions. In this scheme, a Λ-type three-level atom interacts with the two-mode quantized field in the presence of two strong classical fields.
Generation of entangled coherent-squeezed states: their entanglement and nonclassical properties
Quantum Information Processing, 2016
In this paper, after a brief review on the coherent states and squeezed states, we introduce two classes of entangled coherent-squeezed states. Next, in order to generate the introduced entangled states, we present a theoretical scheme based on the resonant atom-field interaction. In the proposed model, a Λ-type three-level atom interacts with a two-mode quantized field in the presence of two strong classical fields. Then, we study the amount of entanglement of the generated entangled states using the concurrence and linear entropy. Moreover, we evaluate a few of their nonclassical properties such as photon statistics, second-order correlation function, and quadrature squeezing and establish their nonclassicality features.
International Journal of Theoretical Physics, 2014
In this paper, we study some higher-order nonclassical properties and intermodal entanglement that may arise in the so called two-mode photon-added displaced squeezed state. We derive analytical expressions for the degree of sum squeezing and difference squeezing, which are interesting kinds of two-mode squeezing, as well as for the degree of antibunching to any orders. We also examine the degree of entanglement between the two modes using the existing Hillery-Zubairy criterion. Based on the derived expressions we analyze in detail the behavior of these nonclassical effects and entanglement depending on the parameters involved.
Chinese Physics B, 2016
In this paper, after a brief review on the entangled squeezed states, we produce a new class of the continuous-variable-type entangled states, namely, deformed photon-added entangled squeezed states. These states are obtained via the iterated action of the f-deformed creation operator A = f (n)a † on the entangled squeezed states. In the continuation, by studying the criteria such as the degree of entanglement, quantum polarization as well as sub-Poissonian photon statistics, the two-mode correlation function, one-mode and two-mode squeezing, we investigate the nonclassical behaviors of the introduced states in detail by choosing a particular f-deformation function. It is revealed that the above-mentioned physical properties can be affected and so may be tuned by justifying the excitation number, after choosing a nonlinearity function. Finally, to generate the introduced states, we propose a theoretical scheme using the nonlinear Jaynes–Cummings model.
Excitation and depletion of entangled squeezed states: their properties and generation
Physica Scripta, 2015
Recently, two-mode entangled squeezed states have been produced using even and odd squeezed states. Based on such entangled states, we introduce two new classes of quantum states, namely single-mode excited (depleted) entangled squeezed states which are obtained via the iterated action of the creation (annihilation) operator on the first mode of the two-mode entangled squeezed states. In continuation, we study the amount of entanglement of the introduced states by calculating the 'concurrence' and 'linear entropy'. In addition, we investigate several nonclassicality features such as the sub-Poissonian statistics, second-order correlation function between the two modes and quadrature squeezing. Finally, in order to establish the physical realization of the introduced states, a theoretical scheme for their generation based on the interaction of a two-level atom with a quantized cavity field is proposed.
New type of two-photon squeezed coherent states
Physical Review D, 1985
A new set of non-naive generalizations of the squeezed coherent states recently discussed by Fisher, Nieto, and Sandberg is given, based on generalized Bose operators.
Generation of entangled squeezed states: their entanglement and quantum polarization
Laser Physics, 2015
In this paper, based on the well-known one-mode and two-mode squeezed states, we introduce the two-mode and four-mode entangled squeezed states. Next, in order to generate the introduced entangled states, we present two theoretical schemes based on the resonant atom-field interaction. In the proposed schemes, a Λ-type three-level atom interacts with the two-mode and four-mode quantized field in the presence of two strong classical fields in which two-photon atomic transitions are allowed. In the continuation, we study entanglement dynamics of the generated entangled states (using the von Neumann entropy) as well as the quantum polarization (using the Stokes operators). It is demonstrated that entanglement and polarization can be achieved for the produced states by adjusting the evolved parameters.
Physics Letters A
Nonclassical properties of photon added and photon subtracted squeezed coherent states have been compared with specific focus on the higher order nonclassicalities, such as higher order squeezing, higher order sub-Poissonian photon statistics, higher order antibunching. It is observed that both photon added and photon subtracted squeezed coherent states are highly nonclassical as they satisfy criteria for all of the above mentioned nonclassicalities and a set of other criteria including negativity of Wigner function, Klyshko's criterion and Agarwal's (A 3) parameter. Further, the amount of nonclassicality present in these two types of states has been compared quantitatively using a measure of nonclassicality known as nonclassical volume. Variation in the amount of nonclassicality with the number of photon(s) added/subtracted is also investigated, and it is found that the addition of photons makes the squeezed coherent state more nonclassical than what is done by the subtraction of photons.
Entangled coherent states by mixing squeezed vacuum and coherent light
2017
Entangled coherent states are shown to emerge, with high fidelity, when mixing coherent and squeezed vacuum states of light on a beam-splitter. These maximally entangled states, where photons bunch at the exit of a beamsplitter, are measured experimentally by Fock-state projections. Entanglement is examined theoretically using a Bell-type nonlocality test and compared with ideal entangled coherent states. We experimentally show nearly perfect similarity with entangled coherent states for an optimal ratio of coherent and squeezed vacuum light. In our scheme, entangled coherent states are generated deterministically with small amplitudes, which could be beneficial, for example, in deterministic distribution of entanglement over long distances.
Superposition and entanglement of two-mode squeezed vacuum states
International Journal of Quantum Information, 2018
In this paper, by using the parity operator as well as the two-mode squeezing operator, we de¯ne new operators which by the action of them on the vacuum state of the two-mode radiation ¯eld, superposition of two two-mode squeezed vacuum states and entangled two-mode squeezed vacuum states are generated.