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The spin dynamics and spin relaxation of itinerant electrons in quantum wires with spin-orbit coupling is reviewed. We give an introduction to spin dynamics, and review spin-orbit coupling mechanisms in semiconductors. The spin diffusion…

Mesoscale and Nanoscale Physics · Physics 2010-12-17 Paul Wenk , Stefan Kettemann

We survey recent work on designing and evaluating quantum computing implementations based on nuclear or bound-electron spins in semiconductor heterostructures at low temperatures and in high magnetic fields. General overview is followed by…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Vladimir Privman , Dima Mozyrsky , Israel D. Vagner

We develop a theory of spin noise in semiconductor nanowires considered as prospective elements for spintronics. In these structures spin-orbit coupling can be realized as a random function of coordinate correlated on the spatial scale of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. M. Glazov , E. Ya. Sherman

Quantum spin ice is an appealing proposal of a quantum spin liquid - systems where the magnetic moments of the constituent electron spins evade classical long-range order to form an exotic state that is quantum entangled and coherent over…

We study theoretically spin decoherence and intrinsic spin noise in semiconductor quantum wires caused by an interplay of electron hopping between the localized states and the hyperfine interaction of electron and nuclear spins. At a…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 A. V. Shumilin , E. Ya. Sherman , M. M. Glazov

We introduce a diffusion model for energetically inhomogeneous systems. A random walker moves on a spin-S Ising configuration, which generates the energy landscape on the lattice through the nearest-neighbors interaction. The underlying…

Statistical Mechanics · Physics 2008-06-17 E. Agliari , R. Burioni , D. Cassi , A. Vezzani

Transport phenomena play a crucial role in modern physics and applied sciences. Examples include the dissipation of energy across a large system, the distribution of quantum information in optical networks, and the timely modeling of…

The anyonic quantum walk is a dynamical model describing a single anyon propagating along a chain of stationary anyons and interacting via mutual braiding statistics. We review the recent results on the effects of braiding statistics in…

Quantum Physics · Physics 2013-05-20 Lauri J. Lehman , Vaclav Zatloukal , Jiannis K. Pachos , Gavin K. Brennen

We consider here the problem of a "central spin", with spin quantum number $S \gg 1$, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes magnetic grains or magnetic…

Condensed Matter · Physics 2016-08-31 N. V. Prokof'ev , P. C. E. Stamp

We demonstrate the role of measurement back-action of a coherent spin environment on the dynamics of a spin (qubit) coupled to it, by inducing non-classical (Quantum Random Walk like) statistics on its measurement trajectory. We show how…

Quantum Physics · Physics 2019-08-14 D. D. Bhaktavatsala Rao , Sen Yang , Stefan Jesenski , Florian Kaiser , Jörg Wrachtrup

We introduce an elementary quantum system consisting of a set of spins on a graph and a particle hopping between its nodes. The quantum state is build sequentially, applying a unitary transformation that couples neighboring spins and, at a…

Quantum Physics · Physics 2019-01-23 Alberto D. Verga

We report on the experimental realization of electric quantum walks, which mimic the effect of an electric field on a charged particle in a lattice. Starting from a textbook implementation of discrete-time quantum walks, we introduce an…

We present an introductory overview of the use of spin chains as quantum wires, which has recently developed into a topic of lively interest. The principal motivation is in connecting quantum registers without resorting to optics. A spin…

Other Condensed Matter · Physics 2008-02-12 Sougato Bose

Confinement/deconfinement, captivating attributes of high-energy elementary particles, have recently garnered wide attention in quantum simulations based on cold atoms. Yet, the partial confinement, an intermediate state between the…

Quantum Gases · Physics 2025-04-29 Zheng Tang , Fei Zhu , Yi-Fan Luo , Wei Zheng , Li Chen

A new topological excitation called skyrmion has been observed experimentally in chiral magnets without spatial inversion symmetry. The dynamics of a skyrmion is equivalent to an electron moving in a strong magnetic field. As a skyrmion…

Strongly Correlated Electrons · Physics 2013-08-14 Shi-Zeng Lin , Lev N. Bulaevskii

Using one of the methods of quantum nonequilibrium statistical physics we have investigated the spin transport transverse to the normal metal/ferromagnetic insulator interface in hybrid nanostructures. An approximation of the effective…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 I. I. Lyapilin , M. S. Okorokov , V. V. Ustinov

A particle jumps between the nodes of a graph interacting with local spins. We show that the entanglement entropy of the particle with the spin network is related to the length of the minimum cycle basis. The structure of the thermal state…

Quantum Physics · Physics 2020-01-01 Alberto D. Verga , Ricardo Gabriel Elias

We study numerically the damping of quantum oscillations and the increase of entropy with time in model spin systems decohered by a spin bath. In some experimentally relevant cases, the oscillations of considerable amplitude can persist…

Quantum Physics · Physics 2007-05-23 V. V. Dobrovitski , H. A. De Raedt , M. I. Katsnelson , B. N. Harmon

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

Strongly Correlated Electrons · Physics 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

The quantum walk is a dynamical protocol which describes the motion of spinful particles on a lattice. Also, it has been demonstrated to be a powerful platform to explore topological quantum matter. Recently, the quantum walk in coherent…

Quantum Physics · Physics 2018-09-19 Zi-Yong Ge , Heng Fan