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We address decoherence and classicalization of continuous-time quantum walks (CTQWs) on graphs. In particular, we investigate three different models of decoherence, and employ the quantum-classical (QC) dynamical distance as a figure of…

Quantum Physics · Physics 2022-10-11 Gabriele Bressanini , Claudia Benedetti , Matteo G. A. Paris

Assessing the role of interference in natural and artificial quantum dyanamical processes is a crucial task in quantum information theory. To this aim, an appopriate formalism is provided by the decoherent histories framework. While this…

Quantum Physics · Physics 2016-04-13 Michele Allegra , Paolo Giorda , Seth Lloyd

We present a novel quantum-classical approach to non-adiabatic dynamics, deduced from the coupled electronic and nuclear equations in the framework of the exact factorization of the electron-nuclear wave function. The method is based on the…

Chemical Physics · Physics 2015-08-19 Seung Kyu Min , Federica Agostini , E. K. U. Gross

It is known that under some assumptions the hitting time in quantum Markov chains is quadratically smaller than the hitting time in classical Markov chains. This work extends this result for decoherent quantum Markov chains. The decoherence…

Quantum Physics · Physics 2015-02-24 Raqueline A. M. Santos , Renato Portugal , Marcelo D. Fragoso

Quantum decoherence plays a pivotal role in the dynamical description of the quantum-to-classical transition and is the main impediment to the realization of devices for quantum information processing. This paper gives an overview of the…

Quantum Physics · Physics 2019-11-15 Maximilian Schlosshauer

A phenomenological model of the time evolution of a particle wavepacket is presented that is subject to scattering event with small momentum transfer. It is suited for three dimensions and allows for an additional potential. For a random…

Quantum Physics · Physics 2007-05-23 Ivo Knittel

This is the first in a series of two papers (I and II), in which we revisit the problem of decoherence in weak localization. The basic challenge addressed in our work is to calculate the decoherence of electrons interacting with a…

Disordered Systems and Neural Networks · Physics 2007-12-02 Florian Marquardt , Jan von Delft , R. A. Smith , Vinay Ambegaokar

We introduce a formalism for the calculation of the time of arrival t at a detector of particles traveling through interacting environments. We develop a general formulation that employs quantum canonical transformations from the free to…

Quantum Physics · Physics 2007-05-23 J. Leon , J. Julve , P. Pitanga , F. J. de Urries

The problem investigated in this paper is einselection, i. e. the selection of mutually exclusive quantum states with definite probabilities through decoherence. Its study is based on a theory of decoherence resulting from the projection…

Quantum Physics · Physics 2009-11-10 Roland Omnes

In the first part of this paper the general perspective of history quantum theories is reviewed. History quantum theories provide a conceptual and mathematical framework for formulating quantum theories without a globally defined…

Mathematical Physics · Physics 2007-05-23 Oliver Rudolph

We introduce a formalism for the calculation of the time of arrival t at a space point for particles traveling through interacting media. We develop a general formulation that employs quantum canonical transformations from the free to the…

Quantum Physics · Physics 2009-11-06 J. Leon , J. Julve , P. Pitanga , F. J. de Urries

The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable…

Quantum Physics · Physics 2012-03-06 George Svetlichny

Time-dependent density-matrix propagation is used to demonstrate, in a schematic model of an open quantum system, that the complex potential approach and the Lindblad dissipative dynamics are \emph{not} equivalent. While the former…

Nuclear Theory · Physics 2010-05-12 Alexis Diaz-Torres

In the quantization of simple cosmological models (minisuperspace models) described by the Wheeler-DeWitt equation, an important step is the construction, from the wave function, of a probability distribution answering various questions of…

General Relativity and Quantum Cosmology · Physics 2010-04-30 J. J. Halliwell

Coherent quantum phenomena can only emerge when decoherence is minimized, and mastery over decoherence is technologically crucial for designing and operating functional quantum devices. However, its microscopic mechanisms in…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Xian-Peng Zhang , Yan-Qing Feng , Haiwen Liu , Wanxiang Feng , Yugui Yao

We introduce an analytically treatable spin decoherence model for quantum walk on a line that yields the exact position probability distribution of an unbiased classical random walk at all-time scales. This spin decoherence model depicts a…

Quantum Physics · Physics 2018-09-05 Mahesh N. Jayakody , Asiri Nanayakkara

The aim of this article is to study a Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects, degenerate mobility and where only one of the species does separate from the others. We define a notion of weak solution…

Analysis of PDEs · Mathematics 2020-07-03 Virginie Ehrlacher , Greta Marino , Jan-Frederik Pietschmann

We develop a new variant of the wave-packet analysis and solve the tunneling time problem for one particle. Our approach suggests an individual asymptotic description of the quantum subensembles of transmitted and reflected particles both…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

We consider electronic transport through a single-molecule junction where the molecule has a degenerate spectrum. Unlike previous transport models, and theories a rate-equations description is no longer possible, and the quantum coherences…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Maximilian G. Schultz

We have studied how decoherence affects a quantum walk on the line. As expected, it is highly sensitive, consisting as it does of an extremely delocalized particle. We obtain an expression for the rate at which the standard deviation falls…

Quantum Physics · Physics 2007-05-23 Viv Kendon , Ben Tregenna