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We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent…

统计力学 · 物理学 2009-10-28 J. Fricke

Teleportation of optical field states (as continuous quantum variables) is usually described in terms of Wigner functions. This is in marked contrast to the theoretical treatment of teleportation of qubits. In this paper we show that by…

数学物理 · 物理学 2009-06-11 S. Nagamachi , E. Brüning

Wigner function is a quasi-distribution that provides a representation of the state of a quantum mechanical system in the phase space of position and momentum. In this paper we find a relation between Wigner function and appropriate…

量子物理 · 物理学 2015-06-16 Pier A. Mello , Michael Revzen

A Wigner function representation of multi-band quantum transport theory is developed in this paper. The equations are derived using non-equilibrium Green's function formulation with the generalized Kadanoff-Baym ansatz and the multi-band…

介观与纳米尺度物理 · 物理学 2009-11-10 Mehmet Burcin Unlu , Bernard Rosen , Hong-Liang Cui , Peiji Zhao

Wigner's quasi-probability distribution function in phase-space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence (eg, quantum…

高能物理 - 理论 · 物理学 2008-11-26 Cosmas K Zachos

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

Transport properties of particles and waves in spatially periodic structures that are driven by external time-dependent forces manifestly depend on the space-time symmetries of the corresponding equations of motion. A systematic analysis of…

介观与纳米尺度物理 · 物理学 2014-12-23 Sergey Denisov , Sergej Flach , Peter Hanggi

We study the phase space structure of exact quantum Wightman functions in spatially homogeneous, temporally varying systems. In addition to the usual mass shells, the Wightman functions display additional coherence shells around zero…

高能物理 - 理论 · 物理学 2020-01-15 Henri Jukkala , Kimmo Kainulainen , Olli Koskivaara

We show that a class of Poincar\'e-Wirtinger inequalities on bounded convex sets can be obtained by means of the dynamical formulation of Optimal Transport. This is a consequence of a more general result valid for convex sets, possibly…

偏微分方程分析 · 数学 2016-01-05 Lorenzo Brasco , Filippo Santambrogio

Entertaining the possibility of time travel will invariably challenge dearly held concepts of fundamental physics. It becomes relatively easy to construct multiple logical contradictions using differing starting points from various…

广义相对论与量子宇宙学 · 物理学 2024-02-28 Ana Alonso-Serrano , Sebastian Schuster , Matt Visser

We review the properties of electron shuttles, i.e. nanoelectromechanical devices that transport electrons one-by-one by utilizing a combination of electronic and mechanical degrees of freedom. We focus on the extreme quantum limit, where…

介观与纳米尺度物理 · 物理学 2009-11-10 A. P. Jauho , C. Flindt , Tomas Novotny , Andrea Donarini

We consider the junction of multiple one-dimensional systems and study how conserved currents transport at the junction. To characterize the transport process, we introduce reflection/transmission coefficients by applying boundary conformal…

高能物理 - 理论 · 物理学 2015-07-30 Taro Kimura , Masaki Murata

We study several examples from quantum control theory in the framework of Wigner functions and measures for infinite dimensional open quantum systems. An axiomatic definition of coherent quantum feedback is proposed within this setting.

数学物理 · 物理学 2015-05-11 J. E. Gough , T. S. Ratiu , O. G. Smolyanov

We derive self-consistent constraint conditions for collision terms in quantum kinetic theory using the Wigner function formalism. We present specific solutions for these collision terms that align with the constraints. we develop quantum…

高能物理 - 唯象学 · 物理学 2024-10-24 Shi-Yuan Wu , Jian-Hua Gao

We introduce a quantum phase space representation for the orientation state of extended quantum objects, using the Euler angles and their conjugate momenta as phase space coordinates. It exhibits the same properties as the standard Wigner…

量子物理 · 物理学 2013-06-11 Timo Fischer , Clemens Gneiting , Klaus Hornberger

Tunneling of a particle through a potential barrier remains one of the most remarkable quantum phenomena. Owing to advances in laser technology, electric fields comparable to those electrons experience in atoms are readily generated and…

We consider a quantum device contained in an interval in the context of the Weyl-Wigner formalism. This approach was originally suggested by Frensley, and is known to be plagued with several problems, such as non-physical and non-unique…

量子物理 · 物理学 2023-03-21 Nuno Costa Dias , João Nuno Prata

Dynamic equations concerning physical expectation values have been examined in terms of the real Hilbert space approach to quantum mechanics. The considered cases involve complex wave functions, as well as quaternionic wave functions. The…

量子物理 · 物理学 2025-09-19 Sergio Giardino

In describing a dynamical system, the greatest part of the work for a theoretician is to translate experimental data into differential equations. It is desirable for such differential equations to admit a Lagrangian and/or an Hamiltonian…

数学物理 · 物理学 2019-08-20 Florio M. Ciaglia , Giuseppe Marmo , Luca Schiavone

We conjecture that the current fluctuations in one-dimensional driven transport systems obey an upper bound determined by the mean current and the driving force. This inequality originates from repulsive interactions between transporting…

统计力学 · 物理学 2025-10-13 Jiayin Gu , Fan Zhang