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The Wigner function is a well-known phase space distribution function with many applications in quantum mechanics. In this article, we consider an open quantum system consisting of a non-relativistic single particle interacting with a…

Quantum Physics · Physics 2026-05-06 Nick Huggett , Christian Käding , Mario Pitschmann , James Read

In designing and optimizing new-generation nanomaterials and related quantum devices, dissipation versus decoherence phenomena are often accounted for via local scattering models, such as relaxation-time and Boltzmann-like schemes. Here we…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Rita Claudia Iotti , Fabrizio Dolcini , Fausto Rossi

Although regarded today as an important resource in quantum information, nonlocality has yielded over the years many conceptual conundrums. Among the latter are nonlocal aspects of single particles which have been of major interest. In this…

Quantum Physics · Physics 2020-04-16 Danko Georgiev , Eliahu Cohen

Quantum correlations of observables for two particle states have demonstrated the nonlocal character of the quantum mechanics. However nonlocality can be exhibited even for noncommuting observables of a single particle system. In this paper…

Quantum Physics · Physics 2017-02-23 Oziel de Araujo , Helder Alexander , Marcos Sampaio , Irismar da Paz

Unbounded potentials are always utilized to strictly confine quantum dynamics and generate bound or stationary states due to the existence of quantum tunneling. However, the existed accurate Wigner solvers are often designed for either…

Computational Physics · Physics 2019-06-04 Zhenzhu Chen , Yunfeng Xiong , Sihong Shao

We perform a first experimental test of a local realistic model, recently proposed, based on the Wigner function as probability distribution for the hidden variable. Our results disfavour the model and confirm standard quantum mechanics…

Quantum Physics · Physics 2015-06-26 G. Brida , M. Genovese , M. Gramegna , C. Novero , E. Predazzi

Effectively handling the nonlocal pseudo-differential term plays an impor?tant role in solving the Wigner equation with high accuracy. This paper systematically analyzes and compares numerical treatments of the pseudo-differential term…

Numerical Analysis · Mathematics 2022-04-25 Zhenzhu Chen

The Wigner-function formalism is a well known approach to model charge transport in semiconductor nanodevices. Primary goal of the present article is to point out and explain intrinsic limitations of the conventional quantum-device modeling…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Roberto Rosati , Fabrizio Dolcini , Rita Claudia Iotti , Fausto Rossi

The use of quantum information in technology promises to supersede the so-called classical devices used nowadays. Understanding what features are inherently non-classical is crucial for reaching better-than-classical performance. This…

Quantum Physics · Physics 2022-04-20 Pierre-Emmanuel Emeriau

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…

High Energy Physics - Phenomenology · Physics 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

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

We propose an experiment demonstrating the nonlocality of a quantum singlet-like state generated from a single photon incident on a beam splitter. Each of the two spatially separated apparatuses in the setup performs a strongly unbalanced…

Quantum Physics · Physics 2009-10-31 Konrad Banaszek , Krzysztof Wodkiewicz

Quantum nonlocality is revisited from a novel point of view by studying the problem of an originally classical particle immersed in the stochastic zero-point radiation field (zpf). The entire system is left to evolve until it reaches a…

Quantum Physics · Physics 2011-10-24 L. de la Peña , A. M. Cetto , A. Valdés-Hernández , H. M. França

We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our method involves two exact frame transformations, accounting…

We show that quantum circuits where the initial state and all the following quantum operations can be represented by positive Wigner functions can be classically efficiently simulated. This is true both for continuous-variable as well as…

Quantum Physics · Physics 2015-06-11 A. Mari , J. Eisert

In previous articles we have developed a theory of down conversion in nonlinear crystals, based on the Wigner representation of the radiation field. Taking advantage of the fact that the Wigner function is always positive in parametric down…

Quantum Physics · Physics 2007-05-23 Alberto Casado , Trevor Marshall , Ramon Risco-Delgado , Emilio Santos

This paper contains a collection of essays on nonlocal phenomena in quantum field theory, gravity and cosmology. Mechanisms of nonlocal contributions to the quantum effective action are discussed within the covariant perturbation expansion…

High Energy Physics - Theory · Physics 2015-06-22 A. O. Barvinsky

We shall revisit the conventional treatment of open quantum devices based on the Wigner-Function formalism. Our analysis will show that the artificial spatial separation between device active region and external reservoirs -properly defined…

Other Condensed Matter · Physics 2007-05-23 Luigi Genovese , David Taj , Fausto Rossi

To unequivocally distinguish genuine quantumness from classicality, a widely adopted approach focuses on the negative values of a quasi-distribution representation as compelling evidence of nonclassicality. Prominent examples include the…

Quantum Physics · Physics 2024-11-18 Hong-Bin Chen , Cheng-Hua Liu , Kuan-Lun Lai , Bor-Yann Tseng , Ping-Yuan Lo , Yueh-Nan Chen , Chi-Hua Yu

The nonlocal Cahn-Hilliard equation provides a natural extension of the classical model for phase separation by incorporating long-range interactions through a singular convolution kernel. While this formulation admits a rich existence and…

Numerical Analysis · Mathematics 2026-04-22 Andrés Miniguano-Trujillo , Andrea Poiatti , Maurizio Grasselli , Benjamin Goddard , John Pearson
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