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We study an observable-based notion of equilibration and its application to realistic systems like spin qubits in quantum dots. On the basis of the so-called distinguishability, we analytically derive general equilibration bounds, which we…

Mesoscale and Nanoscale Physics · Physics 2015-10-27 Daniel Hetterich , Moritz Fuchs , Björn Trauzettel

Quantum to classical crossover is a fundamental question in dynamics of quantum many-body systems. In frustrated magnets, for example, it is highly non-trivial to describe the crossover from the classical spin liquid with a…

We construct physical semi-classical states annihilated by the Hamiltonian constraint operator in the framework of loop quantum cosmology as a method of systematically determining the regime and validity of the semi-classical limit of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Parampreet Singh , Kevin Vandersloot

We briefly review the physics of gate operations between quantum dot spin-qubits and analyze the dynamics of quantum entanglement in such processes. The indistinguishable character of the electrons whose spins realize the qubits gives rise…

Condensed Matter · Physics 2007-05-23 John Schliemann , Daniel Loss

We investigate dynamics of semi-quantal spin systems in which quantum bits are attached to classically and possibly stochastically moving classical particles. The interaction between the quantum bits takes place when the respective…

Quantum Physics · Physics 2009-11-13 Matyas Koniorczyk , Arpad Varga , Peter Rapcan , Vladimir Buzek

The time-dependence of correlation functions under the influence of classical equations of motion is described by an exact evolution equation. For conservative systems thermodynamic equilibrium is a fixed point of these equations. We show…

High Energy Physics - Theory · Physics 2009-10-30 Christof Wetterich

The quantum dynamics of an electron in a uniform magnetic field is studied for geometries corresponding to integrable cases. We obtain the uniform asymptotic approximation of the WKB energies and wavefunctions for the semi-infinite plane…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Spehner , R. Narevich , E. Akkermans

We present a theory of magnetotransport through an electronic orbital, where the electron spin interacts with a (sufficiently) large external spin via an exchange interaction. Using a semiclassical approximation, we derive a set of…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Klemens Mosshammer , Tobias Brandes

The dynamics of a Brownian particle in a constant magnetic field and time-dependent electric field is studied in the limit of white noise, using a Langevin approach for the classical problem and the path-integral Feynman-Vernon and…

Statistical Mechanics · Physics 2022-06-20 Marco Patriarca , Pasquale Sodano

A recently introduced class of quantum spherical spin models is considered in detail. Since the spherical constraint already contains a kinetic part, the Hamiltonian need not have kinetic term. As a consequence, situations with or without…

Condensed Matter · Physics 2009-11-10 R. Serral Gracia , Th. M. Nieuwenhuizen

Spin is commonly thought to reflect the true quantum nature of microphysics. We show that spin is related to intrinsic and field-like properties of single particles. These properties change continuously in external magnetic fields.…

Quantum Physics · Physics 2007-05-23 W. A. Hofer

Isolated electron spins in semiconductor nanostructures are promising qubit candidates for a solid state quantum computer, There have seen truly impressive experimental progresses in the study of single spins in the past two years. In this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Changxue Deng , Xuedong Hu

Carbon based systems are prominent candidates for a solid-state spin-qubit due to weak spin-orbit and hyperfine interactions in combination with a low natural abundance of spin carrying isotopes. We consider the effect of the hyperfine…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Moritz Fuchs , Valentin Rychkov , Björn Trauzettel

We study the decoherence of a single electron spin in an isolated quantum dot induced by hyperfine interaction with nuclei for times smaller than the nuclear spin relaxation time. The decay is caused by the spatial variation of the electron…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Alexander Khaetskii , Daniel Loss , Leonid Glazman

The classical drift motion of electrons in crossed electric and magnetic fields provides an interesting example of a system with an on average constant velocity -- despite the presence of an electric field. This drift-velocity depends…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

Coherence of spins of electrons confined in III-V quantum dots is strongly affected by their hyperfine interaction with the nuclei. In this paper an introduction to this subject will be given. Some theoretical approaches to the problem will…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 Łukasz Cywiński

We study the spin dynamics in charged quantum dots in the situation where the resident electron is coupled to only about 200 nuclear spins and where the electron spin splitting induced by the Overhauser field does not exceed markedly the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. H. Feng , I. A. Akimov , F. Henneberger

We investigate the electric manipulation of a single electron spin in a single gate-defined quantum dot. We observe that so-far neglected differences between the hyperfine and spin-orbit mediated electric dipole spin resonance conditions…

Quantum Physics · Physics 2013-06-27 M. Shafiei , K. C. Nowack , C. Reichl , W. Wegscheider , L. M. K. Vandersypen

The time evolution of spin states of two electrons interacting with a nuclear spin bath in a quantum dot system is studied. The hyperfine interaction between the electrons and the nuclear spins is modeled by an isotropic Heisenberg…

Quantum Physics · Physics 2013-07-09 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

We construct a class of systems for which quantum dynamics can be expanded around a mean field approximation with essentially classical content. The modulus of the quantum overlap of mean field states naturally introduces a classical…