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The properties of an alternative definition of quantum entropy, based on Wigner functions, are discussed. Such definition emerges naturally from the Wigner representation of quantum mechanics, and can easily quantify the amount of…

量子物理 · 物理学 2009-11-07 G. Manfredi , M. R. Feix

Starting from the quantum Liouville equation for the density operator and applying the Weyl quantization, Wigner equations for the longitudinal and transversal optical and acoustic phonons are deduced. The equations are valid for any solid,…

数学物理 · 物理学 2023-01-03 Vito Dario Camiola , Giorgia Vitanza , Vittorio Romano

The transport properties of quantum dots with up to N=7 electrons ranging from the weak to the strong interacting regime are investigated via the projected Hartree-Fock technique. As interactions increase radial order develops in the dot,…

介观与纳米尺度物理 · 物理学 2011-10-10 F. Cavaliere , U. De Giovannini , M. Sassetti , B. Kramer

We will establish the connection between the Lorentz covariant and so-called single-time formulation for the quark Wigner operator. To this end we will discuss the initial value problem for the Wigner operator of a field theory and give a…

高能物理 - 理论 · 物理学 2009-10-09 Stefan Ochs , Ulrich Heinz

A branching random walk algorithm for the many-body Wigner equation and its numerical applications for quantum dynamics in phase space are proposed and analyzed. After introducing an auxiliary function, the (truncated) Wigner equation is…

计算物理 · 物理学 2019-06-04 Sihong Shao , Yunfeng Xiong

The Wigner's friend thought experiment was intended to illustrate the difficulty one has in describing an agent as a quantum system when that agent performs a measurement. While it does pose a challenge to the orthodox interpretation of…

量子物理 · 物理学 2024-09-12 David Schmid , Yìlè Yīng , Matthew Leifer

In the Kirchhoff model of a biopolymer, conformation dynamics can be described in terms of solitary waves, for certain special cross-section asymmetries. Applying this to the problem of electron transport, we show that the quantum effective…

数学物理 · 物理学 2009-11-11 Rossen Dandoloff , Radha Balakrishnan

We consider the general Wigner function for a particle confined to a finite interval and subject to Dirichlet boundary conditions. We derive the boundary corrections to the "star-genvalue" equation and to the time evolution equation. These…

量子物理 · 物理学 2015-06-26 Nuno Costa Dias , Joao Nuno Prata

One-dimensional electron systems interacting with long-range Coulomb forces (quantum wires) show a Wigner crystal structure. We investigate in this paper the transport properties of such a Wigner crystal in the presence of impurities.…

凝聚态物理 · 物理学 2009-10-22 H. Maurey , T. Giamarchi

We study time evolution of Wigner function of an initially interacting one-dimensional quantum gas following the switch-off of the interactions. For the scenario where at $t=0$ the interactions are suddenly suppressed, we derive a…

量子气体 · 物理学 2020-07-15 Kamel Bencheikh , Luis M. Nieto

We study the transport properties of long quantum wires by generalizing the Luttinger liquid approach to allow for the finite lifetime of the bosonic excitations. Our theory accounts for long-range disorder and strong electron interactions,…

强关联电子 · 物理学 2015-11-13 Wade DeGottardi , K. A. Matveev

We derive an exact quantum equation of motion for the photon Wigner operator in non-commutative QED, which is gauge covariant. In the classical approximation, this reduces to a simple transport equation which describes the hard thermal…

高能物理 - 理论 · 物理学 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel

Classical transport equations with probabilistic initial conditions can be viewed as quantum systems. In a discrete version they are probabilistic automata. The time-local probabilistic information is encoded in a classical wave function.…

量子物理 · 物理学 2026-05-18 Christof Wetterich

In this work we build a theoretical framework for the transport of information in quantum systems. This is a framework aimed at describing how out of equilibrium open quantum systems move information around their state space, using an…

量子物理 · 物理学 2021-07-23 F. Anza

We derive the quantum kinetic equations for massive and massless quarks coupled with the background chromo-electromagnetic fields from the Wigner-function approach with the $\hbar$ expansion and effective power-counting scheme. For each…

高能物理 - 唯象学 · 物理学 2022-06-29 Di-Lun Yang

When we have noncommutativity among coordinates (or conjugate momenta), we consider Wigner's formulation of quantum mechanics, including a new derivation of path integral formula. We also propose the Moyal star product based on the Dirac…

高能物理 - 理论 · 物理学 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

A set of quantum hydrodynamic equations are derived from the moments of the electrostatic mean-field Wigner kinetic equation. No assumptions are made on the particular local equilibrium or on the statistical ensemble wave functions. Quantum…

量子物理 · 物理学 2015-05-14 F. Haas , M. Marklund , G. Brodin , J. Zamanian

Recent experiments of fluid transport in nano-channels have shown evidence of a coupling between charge-fluctuations in polar fluids and electronic excitations in graphene solids, which may lead to a significant reduction of friction a…

介观与纳米尺度物理 · 物理学 2025-03-30 S. Succi , M. Lauricella , A. Tiribocchi

We develop a theory of thermal transport of weakly interacting electrons in quantum wires. Unlike higher-dimensional systems, a one-dimensional electron gas requires three-particle collisions for energy relaxation. The fastest relaxation is…

介观与纳米尺度物理 · 物理学 2015-05-30 Alex Levchenko , Tobias Micklitz , Zoran Ristivojevic , K. A. Matveev

The time dependence of one-dimensional quantum mechanical probability densities is presented when the potential in which a particle moves is suddenly changed, called a quench. Quantum quenches are mainly addressed but a comparison with…

量子物理 · 物理学 2024-06-18 K. Schönhammer