Nonlinear Quantum Optical Springs and Their Nonclassical Properties

Faghihi, Mohammad Javad; Tavassoly, M. K.

doi:10.1088/0253-6102/56/2/24

Cited by 13 publications

(8 citation statements)

References 13 publications

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“…where the effect of intensity-dependent coupling has been studied, it is observed that this effect [of course, by considering the chosen nonlinearity function f i n i n i p ] decreases the amount of negativity of entropy squeezing. Finally, we would like to emphasize the generality of our obtained formalism in the sense that it may be used for any physical system, either any nonlinear oscillator algebra with arbitrary nonlinearity function, or any solvable quantum system with known discrete energy spectrum e n [42][43][44].…”

Section: Discussionmentioning

confidence: 99%

Entanglement dynamics and position-momentum entropic uncertainty relation of a Λ-type three-level atom interacting with a two-mode cavity field in the presence of nonlinearities

2013

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In this paper, the interaction between a Λ-type three-level atom and a two-mode cavity field is discussed. The detuning parameters and cross-Kerr nonlinearity are taken into account, and it is assumed that the atom-field coupling and Kerr medium are f -deformed. Even though the system seems complicated, the analytical form of the state vector of the entire system for the considered model is exactly obtained. The time evolution of nonclassical properties, such as quantum entanglement and position-momentum entropic uncertainty relation (entropy squeezing) of the field are investigated. In each case, the influences of the detuning parameters, generalized Kerr medium, and intensity-dependent coupling on the latter nonclassicality signs are analyzed in detail.

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Section: Discussionmentioning

confidence: 99%

Entanglement dynamics and position-momentum entropic uncertainty relation of a Λ-type three-level atom interacting with a two-mode cavity field in the presence of nonlinearities

2013

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“…[ 42 ] In this respect, as we shall see later, the quantum states of interest, which will be introduced in the next section, illustrate how they can significantly be found as good candidates for nonclassical states of light in the presence of intensity‐dependent nonlinearity function. This is because of convincing evidence for nonlinear CSs such as displaced excited CSs, [ 43 ] nonlinear quantum optical spring, [ 44 ] nonlinear semi‐CSs, [ 45 ] f ‐deformed charge CSs, [ 46 ] nonlinear motional trio CSs, [ 47 ] and nonlinear elliptical states, [ 48 ] all of which obviously demonstrate the nonclassicality features of light.…”

Section: Introductionmentioning

confidence: 99%

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Faghihi

2020

Annalen der Physik

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In this paper, by making use of the nonlinear coherent states approach, the generalized photon added and subtracted f-deformed displaced Fock states are introduced. In other words, a natural link between photon added and subtracted displaced Fock states and nonlinear coherent states associated with nonlinear oscillator algebra is obtained. It is found that various kinds of nonclassical states can be generated by adopting appropriately controlling parameters in both linear and nonlinear regimes. Moreover, examining some of the most nonclassical properties such as Mandel's Q parameter, different types of squeezing, namely, quadrature, amplitude-squared and phase entropic squeezing, and Vogel's characteristic function, the nonclassicality features of the considered quantum states of interest are studied. Furthermore, to obtain the degree of quantum coherence, the relative entropy of coherence is investigated. Indeed, the nonclassicality aspects of the states obtained have been numerically studied to understand the roles of deformation functions, photons added and subtracted, and photon number occupied in the Fock state on physical properties. It is demonstrated that the depth and the domain of the nonclassicality features of the system can properly be controlled by selecting the suitable parameters.

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“…On the other hand, nonlinear coherent states, which are known as a natural generalization of canonical coherent states (corresponding to simple harmonic oscillator) to f -deformed ones (associated with nonlinear oscillators) [15,16], can be considered as suitable candidates from which nonclassical light comes out [24,25,26,27,28]. It is worthwhile to mention that, there exist many generalized coherent states categorizing in this special class of quantum states, which exhibit the nonclassicality features of light, i.e., 'nonclassical' light [29,30,31].…”

Section: Introductionmentioning

confidence: 99%

Algebraic and group treatments to nonlinear displaced number states and their nonclassicality features: A new approach

Tavassoly

Faghihi

2015

Chinese Phys. B

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Recently, nonlinear displaced number states (NDNSs) have been manually introduced, in which the deformation function f (n) has been artificially added to the well-known displaced number states (DNSs). In this paper, after expressing enough physical motivation of our procedure, four distinct classes of NDNSs are presented by applying algebraic and group treatments. To achieve this purpose, by considering the DNSs and recalling the nonlinear coherent states formalism, the NDNSs are logically defined through an algebraic consideration. In addition, by using a particular class of Gilmore-Perelomov-type of SU (1, 1) and a class of SU (2) coherent states, the NDNSs are introduced via group theoretical approach. Then, in order to examine the nonclassical behaviour of these states, sub-Poissonian statistics by evaluating Mandel parameter and Wigner quasi-probability distribution function associated with the obtained NDNSs are discussed, in detail.

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Nonlinear Quantum Optical Springs and Their Nonclassical Properties

Cited by 13 publications

References 13 publications

Entanglement dynamics and position-momentum entropic uncertainty relation of a Λ-type three-level atom interacting with a two-mode cavity field in the presence of nonlinearities

Entanglement dynamics and position-momentum entropic uncertainty relation of a Λ-type three-level atom interacting with a two-mode cavity field in the presence of nonlinearities

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Algebraic and group treatments to nonlinear displaced number states and their nonclassicality features: A new approach

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