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Solution of the Dirac equation predicts that when an electron with non-zero orbital angular momentum propagates in a cylindrically symmetric potential, its spin and orbital degrees of freedom interact, causing the electron's phase velocity…

Quantum Physics · Physics 2009-09-23 C. C. Leary , D. Reeb , M. G. Raymer

A complete numerical description of the charge and spin dynamics of a two-electron system confined in narrow nanowire quantum dots under oscillating electric field is presented in the context of recent electric dipole spin resonance…

Mesoscale and Nanoscale Physics · Physics 2014-05-14 M. P. Nowak , B. Szafran

We describe a new class of exact square integrable solutions of the Pauli and Dirac equation in rotating electromagnetic fields. Solutions obtained by putting equations in the stationary form with help of a coordinate transformation…

Mathematical Physics · Physics 2011-06-03 B. V. Gisin

Liquid He-4 is free from magnetic defects, making it an ideal substrate for electrons with long-lived spin states. Such states can serve as qubit states. Here we consider the spin states of electrons electrostatically localized in quantum…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 M. I. Dykman , Ofek Asban , Qianfan Chen , Dafei Jin , S. A. Lyon

We consider a double quantum dot system with two embedded and non-aligned spin impurities to manipulate the magnitude and polarization of the electron spin density. The device is attached to semi-infinite one-dimensional leads which are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Gianluca Stefanucci , Enrico Perfetto , Michele Cini

We theoretically investigate the deflection-induced coupling of an electron spin to vibrational motion due to spin-orbit coupling in suspended carbon nanotube quantum dots. Our estimates indicate that, with current capabilities, a quantum…

Mesoscale and Nanoscale Physics · Physics 2012-06-05 András Pályi , P. R. Struck , Mark Rudner , Karsten Flensberg , Guido Burkard

We elaborate on a number of issues concerning our recent proposal for spin-qubit manipulation in nanowires using the spin-orbit coupling. We discuss the experimental status and describe in further detail the scheme for single-qubit…

Mesoscale and Nanoscale Physics · Physics 2007-06-14 Christian Flindt , Anders S. Sorensen , Karsten Flensberg

Coherent manipulation of quantum bits (qubits) on time scales much shorter than the coherence time is a key prerequisite for quantum information processing. Electron spins in quantum dots (QDs) are particularly attractive for…

Mesoscale and Nanoscale Physics · Physics 2011-10-03 A. Greilich , Sophia E. Economou , S. Spatzek , D. R. Yakovlev , D. Reuter , A. D. Wieck , T. L. Reinecke , M. Bayer

A quantum computing circuit is presented that approximates a single spin wave quantum on a linear chain of spin 1/2 particles described by a Heisenberg Hamiltonian. The circuit is a product state where each qubit represents a spin. The spin…

Quantum Physics · Physics 2025-07-31 Daniel D. Stancil , Bojko N. Bakalov , Gregory T. Byrd

We derive a spin-dependent Hamiltonian that captures the symmetry of the zone edge states in silicon. We present analytical expressions of the spin-dependent states and of spin relaxation due to electron-phonon interactions in the…

Materials Science · Physics 2015-03-19 Pengke Li , Hanan Dery

An idea for a nanodevice in which an arbitrary sequence of three basic quantum single qubit gates - negation, Hadamard and phase shift - can be performed on a single electron spin. The spin state is manipulated using the spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2009-01-18 S. Bednarek , B. Szafran

We analyse non-adiabatic non-Abelian holonomic transformations of spin-qubits confined to a linear time dependent harmonic trap with time dependent Rashba interaction. For this system exact results can be derived for spin rotation angle…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Lara Ulcakar , Anton Ramsak

A scheme for implementing the discrete-time quantum walk on the Bloch sphere is proposed, which is closely related to the SU(2) group. A spin cluster serves as the walker, whereas its location on the Bloch sphere is described by the spin…

Quantum Physics · Physics 2022-04-25 Liwei Duan

We map electron spin dynamics from time to space in quantum wires with spatially uniform and oscillating Rashba spin-orbit coupling. The presence of the spin-orbit interaction introduces pseudo-Zeeman couplings of the electron spins to…

Mesoscale and Nanoscale Physics · Physics 2011-11-23 Vanita Srinivasa , Jeremy Levy

Once called a "classically non-describable two-valuedness" by Pauli , the electron spin is a natural resource for long-lived quantum information since it is mostly impervious to electric fluctuations and can be replicated in large arrays…

A classical circularly polarized electromagnetic wave carries angular momentum, and represents the classical limit of a photon, which carries quantized spin. It is shown that a very similar picture of a circularly polarized coherent wave…

Quantum Physics · Physics 2007-05-23 Alan M. Kadin

The Hamiltonian of a linearly driven two-level system, or qubit, in the standard rotating frame contains non-commuting terms that oscillate at twice the drive frequency, $\omega$, rendering the task of analytically finding the qubit's time…

Quantum Physics · Physics 2020-12-29 Daniel Zeuch , Fabian Hassler , Jesse J. Slim , David P. DiVincenzo

In a time-orbiting-potential magnetic trap the neutral atoms are confined by means of an inhomogeneous magnetic field superimposed to an uniform rotating one. We perform an analytic study of the atomic motion by taking into account the…

Soft Condensed Matter · Physics 2009-11-10 Roberto Franzosi , Andrea Spinelli , Bruno Zambon , Ennio Arimondo

We consider a single electron in a 1D quantum dot with a static slanting Zeeman field. By combining the spin and orbital degrees of freedom of the electron, an effective quantum two-level (qubit) system is defined. This pseudo-spin can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yasuhiro Tokura , Wilfred G. van der Wiel , Toshiaki Obata , Seigo Tarucha

We calculate analytically the exact dynamical response of a droplet of N interacting electrons in a quantum dot with an arbitrarily time-dependent parabolic confinement potential \omega(t) and a perpendicular magnetic field. We find that,…

Condensed Matter · Physics 2016-08-31 Simon C. Benjamin , Neil F. Johnson
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