Nonlinear displaced number states

Oliveira, Guilherme C. de; Almeida, Alexandre Nascimento de; Dantas, Célia M.A.; Moraes, A.

doi:10.1016/j.physleta.2005.03.033

Cited by 5 publications

(11 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The time evolution of DNS in the transformed system is given in Eq. (33). Through inverse transformation of this, the DNS in the original system is evaluated [see Eq.…”

Section: Resultsmentioning

confidence: 99%

“…Amplitude interference that appears in the superposition states (Schrödinger cat states) is one of the most novel characteristics of quantum mechanics that has no analogue in classical mechanics. While superpositions of pure number states seldom share the coherence properties that are necessary in both fundamental experiments and practical implementations applicable to science and technology, a superposition of DNSs exhibits coherence properties and other interesting quantum statistical properties such as unusual oscillations in the quantum number distribution [33]. Consider a superposition of two DNSs,DðaÞw …”

Section: Superposition Of Displaced Number Statesmentioning

confidence: 99%

See 1 more Smart Citation

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Choi

2016

Int Nano Lett

View full text Add to dashboard Cite

Quantum properties of a superposition state for a series RLC nanoelectronic circuit are investigated. Two displaced number states of the same amplitude but with opposite phases are considered as components of the superposition state. We have assumed that the capacitance of the system varies with time and a time-dependent power source is exerted on the system. The effects of displacement and a sinusoidal power source on the characteristics of the state are addressed in detail. Depending on the magnitude of the sinusoidal power source, the wave packets that propagate in charge(q)-space are more or less distorted. Provided that the displacement is sufficiently high, distinct interference structures appear in the plot of the time behavior of the probability density whenever the two components of the wave packet meet together. This is strong evidence for the advent of nonclassical properties in the system, that cannot be interpretable by the classical theory. Nonclassicality of a quantum system is not only a beneficial topic for academic interest in itself, but its results can be useful resources for quantum information and computation as well.

show abstract

“…The time evolution of DNS in the transformed system is given in Eq. (33). Through inverse transformation of this, the DNS in the original system is evaluated [see Eq.…”

Section: Resultsmentioning

confidence: 99%

Section: Superposition Of Displaced Number Statesmentioning

confidence: 99%

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Choi

2016

Int Nano Lett

View full text Add to dashboard Cite

show abstract

“…It seems that, the construction of NDNSs in [32], in our opinion, is so artificial. In this paper, by modifying the definition of NDNSs in [32], we intend to outline a logical formalism from which NDNSs are reasonably constructed.…”

Section: Introductionmentioning

confidence: 89%

“…Before going proceed, it ought to be mentioned that for evaluating any quantity for the NDNSs which have been produced by algebraic method (the relations (10) and (12)), a nonlinearity function should be chosen. For this purpose, we use the nonlinearity function f (n) = (1 + kn) −1 , which has been considered in [32].…”

Section: Nonclassical Criteriamentioning

confidence: 99%

“…Based on the above explanations, regarding the DNSs as well as the nonlinear coherent states, one may motivate to establish a direct connection between DNSs and nonlinear coherent states, which is led to the concept of 'nonlinear displaced number states' (NDNSs). This idea has recently been introduced by de Oliveira et al [32]. In this attempt, in analogy between the coefficients of the DNSs and the nonlinear coherent states (defined by Man'ko et al [16]), the authors have manually taken the nonlinearity function f (n) into account in the DNSs which has been led them to the construction of f -deformed (nonlinear) DNSs, given by |α, f, n = e…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Tavassoly

Faghihi

2015

Chinese Phys. B

View full text Add to dashboard Cite

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.

show abstract

Entangled nonlinear displaced number states

Anbaraki

2019

Optik

View full text Add to dashboard Cite

Nonlinear displaced number states

Cited by 5 publications

References 9 publications

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

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

Entangled nonlinear displaced number states

Contact Info

Product

Resources

About