Reply to “Comment on ‘Nonclassicality indicator for the real phase-space distribution functions’ ”

2021

Sci Rep

The coherent superposition of two well separated Gaussian wavepackets, with defects caused by their imperfect preparation, is considered within the phase-space approach based on the Wigner distribution function. This generic state is called the defective Schrödinger cat state due to this imperfection which significantly modifies the interference term. Propagation of this state in the phase space is described by the Moyal equation which is solved for the case of a dispersive medium with a Gaussian barrier in the above-barrier reflection regime. Formally, this regime constitutes conditions for backscattering diffraction phenomena. Dynamical quantumness and the degree of localization in the phase space of the considered state as a function of its imperfection are the subject of the performed analysis. The obtained results allow concluding that backscattering communication based on the defective Schrödinger cat states appears to be feasible with existing experimental capabilities.

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Section: Introductionmentioning

confidence: 99%

Phase-space studies of backscattering diffraction of defective Schrödinger cat states

2021

Sci Rep

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“…It is worth mentioning that the negativity of the WDF exhibits non-classical properties of the state and can be used as an indicator of quantum phenomena in the system (Benedict and Czirják, 1999;Kenfack andŻyczkowski, 2004;Sadeghi et al, 2010;Kenfack, 2016;Khademi et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

The Phase–Space Approach to time Evolution of Quantum States in Confined Systems: the Spectral Split–Operator Method

International Journal of Applied Mathematics and Computer Science

2019

Using the phase space approach, we consider the quantum dynamics of a wave packet in an isolated confined system with three different potential energy profiles. We solve the Moyal equation of motion for the Wigner function with the highly efficient spectral split-operator method. The main aim of this study is to compare the accuracy of the employed algorithm through analysis of the total energy expectation value, in terms of deviation from its exact value. This comparison is performed for the second and fourth order factorizations of the time evolution operator.

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P $$\hbar $$ ase-Space Approach to Time Evolution of Quantum States in Confined Systems. The Spectral Split-Operator Method

Advances in Intelligent Systems and Computing

2019