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The Wigner function formalism has been applied to the analysis of elastic scattering processes. The new element of known formalism is the choice of the phase space on which the Wigner function is defined. This phase space is 4-dimensional…

High Energy Physics - Phenomenology · Physics 2010-08-09 I. Perevalova , M. Polyakov , O. Soldatenko , A. Vall

A numerical method, suitable for the simulation of the time evolution of quantum spin models of arbitrary lattice dimension, is presented. The method combines sampling of the Wigner function with evolution equations obtained from the…

Statistical Mechanics · Physics 2016-05-10 Lorenzo Pucci , Analabha Roy , Michael Kastner

The generation of entangled photon pairs by parametric down--conversion from solid state CW lasers with small coherence time is theoretically and experimentally analyzed. We consider a compact and low-cost setup based on a two-crystal…

Quantum Physics · Physics 2009-04-16 Simone Cialdi , Fabrizio Castelli , Matteo G. A. Paris

Entanglement is at the core of quantum physics, playing a central role in quantum phenomena involving composite systems. According to the timeless picture of quantum dynamics, entanglement may also be essential for understanding the very…

Quantum Physics · Physics 2020-12-22 A. Valdés-Hernández , C. G. Maglione , A. P. Majtey , A. R. Plastino

The "problem of time" in present physics substantially consists in the fact that a straightforward quantization of the general relativistic evolution equation and constraints generates for the Universe wave function the Wheeler-De Witt…

Quantum Physics · Physics 2015-10-19 E Moreva , G Brida , M Gramegna , V Giovannetti , L Maccone , M Genovese

Quantum engineering now allows to design and construct multi-qubit states in a range of physical systems. These states are typically quite complex in nature, with disparate, but relevant properties that include both single and multi-qubit…

We introduce an efficient method to reconstruct the Wigner function of many-mode continuous variable systems. It is based on convex optimization with semidefinite programs, and also includes a version of the maximum entropy principle, in…

Quantum Physics · Physics 2020-02-28 Ludmila A. S. Botelho , Reinaldo O. Vianna

We present an operational definition of the Wigner function. Our method relies on the Fresnel transform of measured Rabi oscillations and applies to motional states of trapped atoms as well as to field states in cavities. We illustrate this…

Quantum Physics · Physics 2009-11-07 P. Lougovski , E. Solano , Z. M. Zhang , H. Walther , H. Mack , W. P. Schleich

We show that the Truncated Wigner Approximation developed in the flat phase-space is mapped into a Lindblad-type evolution with an indefinite metric in the space of linear operators. As a result, the classically evolved Wigner function…

Quantum Physics · Physics 2021-08-10 A. B. Klimov , I. Sainz , J. L. Romero

We analyzed the dynamics of the initial singlet electronic state in the two interacting single-level quantum dots (QDs) with Coulomb correlations, weakly tunnel coupled to an electronic reservoir. We obtained correlation functions of all…

Mesoscale and Nanoscale Physics · Physics 2015-02-12 N. S. Maslova , V. N. Mantsevich , P. I. Arseyev

We explore the main processes involved in the evolution of general quantum systems by means of Diagrams of States, a novel method to graphically represent and analyze how quantum information is elaborated during computations performed by…

Quantum Physics · Physics 2009-12-02 Sara Felloni , Alberto Leporati , Giuliano Strini

The time evolution of the Wigner function for Gaussian states generated by Lindblad quantum dynamics is investigated in the semiclassical limit. A new type of phase-space dynamics is obtained for the centre of a Gaussian Wigner function,…

Quantum Physics · Physics 2019-02-01 E M Graefe , B Longstaff , T Plastow , R Schubert

Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create…

Quantum Physics · Physics 2017-11-08 Mattia Walschaers , Claude Fabre , Valentina Parigi , Nicolas Treps

Over decades, the time evolution of Wigner functions along classical Hamiltonian flows has been used for approximating key signatures of molecular quantum systems. Such approximations are for example the Wigner phase space method, the…

Numerical Analysis · Mathematics 2014-11-11 Wolfgang Gaim , Caroline Lasser

We modify the path integral representation of exciton transport in open quantum systems such that an exact description of the quantum fluctuations around the classical evolution of the system is possible. As a consequence, the time…

Quantum Physics · Physics 2017-04-19 Anton Ivanov , Heinz-Peter Breuer

We present a quantitative analysis of the reversibility properties of classically chaotic quantum motion. We analyze the connection between reversibility and the rate at which a quantum state acquires a more and more complicated structure…

Chaotic Dynamics · Physics 2008-11-26 Valentin V. Sokolov , Oleg V. Zhirov , Giuliano Benenti , Giulio Casati

The Wigner function is known to evolve classically under the exclusive action of a quadratic hamiltonian. If the system does interact with the environment through Lindblad operators that are linear functions of position and momentum, we…

Quantum Physics · Physics 2009-11-10 O. Brodier , A. M. Ozorio de Almeida

The present Thesis covers the subject of the characterization of entangled states by recourse to entropic measures, as well as the description of entanglement related to several issues in quantum mechanics, such as the speed of a quantum…

Quantum Physics · Physics 2009-09-29 Josep Batle-Vallespir

Using tomographic reconstruction we determine the complete internuclear quantum state, represented by the Wigner function, of a dissociating I2 molecule based on femtosecond time resolved position and momentum distributions of the atomic…

Quantum Physics · Physics 2009-11-10 Esben Skovsen , Henrik Stapelfeldt , Soren Juhl , Klaus Molmer

We present the conditional time evolution of the electromagnetic field produced by a cavity QED system in the strongly coupled regime. We obtain the conditional evolution through a wave-particle correlation function that measures the time…

Quantum Physics · Physics 2009-11-06 J. E. Reiner , W. P. Smith , L. A. Orozco , H. J. Carmichael , P. R. Rice
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