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A measure of nonclassicality of quantum states based on the volume of the negative part of the Wigner function is proposed. We analyze this quantity for Fock states, squeezed displaced Fock states and cat-like states defined as coherent…

量子物理 · 物理学 2009-11-10 Anatole Kenfack , Karol Zyczkowski

We propose a Wigner function based parameter that can be used as an indicator of quantum chaos. This parameter is defined as "entropy" from the time-dependence of "non-classicallity" proposed in \cite{KZ04}. We perform our considerations…

量子物理 · 物理学 2012-04-02 A. Kowalewska-Kudłaszyk , J. K. Kalaga , W. Leoński

It is commonly accepted that a deviation of the Wigner quasiprobability distribution of a quantum state from a proper statistical distribution signifies its nonclassicality. Following this ideology, we introduce the global indicator…

量子物理 · 物理学 2019-10-29 Vahagn Abgaryan , Arsen Khvedelidze , Astghik Torosyan

We consider the nonclassicality distance indicator of a state in finite-dimensional quantum systems which is evaluating a state nonclassicality by its remoteness from the set of "classical states". The latter are identified with those…

量子物理 · 物理学 2023-10-20 Arsen Khvedelidze , Astghik Torosyan

Many non-classicality indicators are used to measure quantum effects of different systems. Kenfack's and Sadeghi's non-classicality indicators are introduced in terms of the amount of Wigner function's negativities and interferences in…

量子物理 · 物理学 2015-11-09 Siamak Khademi , Elham Motaghi , Parvin Sadeghi

A universal characterization of non-Markovianity for any open hybrid quantum systems is presented. This formulation is based on the negativity volume of the generalized Wigner function, which serves as an indicator of the quantum…

量子物理 · 物理学 2020-10-22 Jiří Svozilík , Raúl Hidalgo-Sacoto , Ievgen I. Arkhipov

Using the formalism of generalized fractional derivatives, a two-dimensional non-relativistic meson system is studied. The mesons are interacting by a Cornell potential. The system is formulated in the domain of the symplectic quantum…

高能物理 - 唯象学 · 物理学 2024-01-17 M. Abu-Shady , R. R. Luz , G. X. A. Petronilo , A. E. Santana , R. G. G. Amorim

We investigate within the formalism of Symplectic Quantum Mechanics a two-dimensional non-relativistic strong interacting system that represents the bound heavy quark-antiquark state, where it was considered a linear potential in the…

高能物理 - 理论 · 物理学 2023-04-24 M. Abu-Shady , Renato R. Luz , G. X. A. Petronilo , R. G. G. Amorim , A. E. Santana

We analyze two two-mode continuous variable separable states with the same marginal states. We adopt the definition of classicality in the form of well-defined positive Wigner function describing the state and find that although the states…

量子物理 · 物理学 2016-04-07 Razieh Taghiabadi , Seyed Javad Akhtarshenas , Mohsen Sarbishaei

The family of unitary non-equivalent Weyl-Stratonovich kernels determining the Wigner probability distribution function of an arbitrary N-level quantum system is constructed.

量子物理 · 物理学 2021-12-30 Arsen Khvedelidze , Vahagn Abgaryan

We study the Wigner function for a quantum system with a discrete, infinite dimensional Hilbert space, such as a spinless particle moving on a one dimensional infinite lattice. We discuss the peculiarities of this scenario and of the…

量子物理 · 物理学 2012-10-05 Margarida Hinarejos , A. Pérez , Mari-Carmen Bañuls

In this paper, we study within the structure of Symplectic Quantum Mechanics a bi-dimensional non-relativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which…

高能物理 - 唯象学 · 物理学 2022-01-04 R. R. Luz , Caroline S. R. Costa , G. X. A. Petronilo , A. E. Santana , R. G. G. Amorim , R. A. S. Paiva

In this report we are aiming at introducing a global measure of non-classicality of the state space of $N$-level quantum systems and estimating it in the limit of large $N$. For this purpose we employ the Wigner function negativity as a…

量子物理 · 物理学 2021-12-30 Vahagn Abgaryan , Arsen Khvedelidze , Ilya Rogojin

A mapping between operators on the Hilbert space of $N$-dimensional quantum system and the Wigner quasiprobability distributions defined on the symplectic flag manifold is discussed. The Wigner quasiprobability distribution is constructed…

量子物理 · 物理学 2018-09-17 Vahagn Abgaryan , Arsen Khvedelidze , Astghik Torosyan

A standard method to obtain information on a quantum state is to measure marginal distributions along many different axes in phase space, which forms a basis of quantum state tomography. We theoretically propose and experimentally…

The Wigner function of quantum systems is an effective instrument to construct the approximate classical description of the systems for which the classical approximation is possible. During the last time, the Wigner function formalism is…

量子物理 · 物理学 2009-11-10 Constantin V. Usenko

In this thesis concrete quantum systems are investigated in the framework of the environment induced decoherence. The focus is on the dynamics of highly nonclassical quantum states, the Wigner function of which are negative over some…

量子物理 · 物理学 2007-05-23 Peter Foldi

We evaluate the gravity-induced negativity volume of the generalized Wigner function in a hybrid system consisting of a particle in a two-localized superposition state and an oscillator. The generalized Wigner function can capture the…

量子物理 · 物理学 2023-11-21 Daisuke Miki , Akira Matsumura , Kazuhiro Yamamoto

The presence of negative values in the Wigner quasiprobability distribution is deemed one of the hallmarks of nonclassical phenomena in quantum systems. Here we demonstrate a classical model of squeezed light that, when combined with…

量子物理 · 物理学 2026-01-27 Brian R. La Cour

Recently, a new definition for a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum, was developed. This distribution function is…

量子物理 · 物理学 2016-12-23 Roy Oste , Joris Van der Jeugt
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