Article

# Fast Incomplete Decoherence of Nuclear Spins in Quantum Hall Ferromagnet

Physical Review B (Impact Factor: 3.77). 11/2000; DOI:10.1103/PhysRevB.64.193306

Source: arXiv

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**ABSTRACT:**The electron spin transport in condensed matter, Spintronics, is a subject of rapidly growing interest both scientifically and from the point of view of applications to modern and future electronics. In many cases the electron spin transport cannot be described adequately without accounting for the hyperfine interaction between electron and nuclear spins. Under extreme conditions of high magnetic fileds, ultra-low temperatures, ultra high isotopical cleanness etc., the nuclear spins in these sytems are very promizing candidates for the qubits: the basic elements of emerging quantum memory, logics and hopefully quantum computers. Here we review the progress in the Nuclear Spintronics i.e. in physics and applications of hyperfine interactions in such exotic systems, as superconducting, quantum Hall, mesoscopic and nano-systems.04/2004; - [show abstract] [hide abstract]

**ABSTRACT:**The magnetic field dependence of the local phononassisted nuclear spin qubit relaxation rate in 2DES with magnetic impurities is studied theoretically. For weak and strong scattering limits under a strong magnetic field, we show that the magnetic field dependence of T<sub>1</sub><sup>-1</sup> exhibits giant spikes, due to the energy matching of the electron Zeeman splitting with the energy spacing between the vibrational mode energies. The localized mode is created by the lattice distortion around the impurity. This resonance phenomenon could be used as a local probe for studying the localized vibrational modes and their coupling to electrons and for the resonant manipulation of the nuclear spin qubits.IEEE Transactions on Nanotechnology 02/2005; · 1.80 Impact Factor - [show abstract] [hide abstract]

**ABSTRACT:**We review results on evaluation of loss of information in quantum registers due to their interactions with the environment. It is demonstrated that an optimal measure of the level of quantum noise effects can be introduced via the maximal absolute eigenvalue norm of deviation of the density matrix of a quantum register from that of ideal, noiseless dynamics. For a semiconductor quantum dot charge qubits interacting with acoustic phonons, explicit expressions for this measure are derived. For a broad class of environmental modes, this measure is shown to have the property that for small levels of quantum noise it is additive and scales linearly with the size of the quantum register.05/2008;

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