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We investigate the spin of a multielectron GaAs quantum dot in a sequence of nine charge occupancies, by exchange coupling the multielectron dot to a neighboring two-electron double quantum dot. For all nine occupancies, we make use of a…

We calculate spin relaxation rates in lateral quantum dot systems due to electron exchange between dots and leads. Using rate equations, we develop a theoretical description of the experimentally observed electric current in the spin…

Mesoscale and Nanoscale Physics · Physics 2008-12-08 A. B. Vorontsov , M. G. Vavilov

A double-quantum-dot coupled to electrodes with spin-dependent splitting of chemical potentials (spin bias) is investigated theoretically by means of the Green's functions formalism. By applying a large spin bias, the quantum spin in a…

Mesoscale and Nanoscale Physics · Physics 2008-06-16 Hai-Zhou Lu , Shun-Qing Shen

We derive a universal Hamiltonian for a quantum dot in the presence of spin-orbit interaction in the symmetry limits of a strong spin-dependent Aharonov-Bohm-like term. We also derive a closed expression for the conductance through such a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , T. Rupp

We theoretically consider coherence times for spins in two quantum computer architectures, where the qubit is the spin of an electron bound to a P donor impurity in Si or within a GaAs quantum dot. We show that low temperature decoherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Rogerio de Sousa , S. Das Sarma

The physics of quantum dots is succinctly depicted by the {\it Universal Hamiltonian}, where only zero mode interactions are included. In the case where the latter involve charging and isotropic spin-exchange terms, this would lead to a…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Boaz Nissan-Cohen , Yuval Gefen , Mikhail N. Kiselev , Igor V. Lerner

We study the low energy states of finite spin chains with isotropic (Heisenberg) and anisotropic (XY and Ising-like) exchange interaction with uniform and non-uniform coupling constants. We show that for an odd number of sites a spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Florian Meier , Jeremy Levy , Daniel Loss

Four electron spin qubits in quantum dots are studied by means of an exchange interaction Hamiltonian. The time-independent Schr\"odinger equation is exactly analytically solved for the symmetric case, that is equal qubit frequencies and…

Quantum Physics · Physics 2019-08-15 H. W. L. Naus

The states of two electrons in tunnel-coupled semiconductor quantum dots can be effectively described in terms of a two-spin Hamiltonian with an isotropic Heisenberg interaction. A similar description needs to be generalized in the case of…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Andrea Secchi , Laura Bellentani , Andrea Bertoni , Filippo Troiani

Control over electron-spin states, such as coherent manipulation, filtering and measurement promises access to new technologies in conventional as well as in quantum computation and quantum communication. We review our proposal of using…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Guido Burkard , Hans-Andreas Engel , Daniel Loss

We present a theory of quantum circuits based on logical qubits encoded in chirality of electron spin complexes in lateral gated semiconductor triple quantum dot molecules with one electron spin in each dot. Using microscopic Hamiltonian we…

Strongly Correlated Electrons · Physics 2015-05-18 Chang-Yu Hsieh , Pawel Hawrylak

Two electron spins in quantum dots coupled through coherent tunneling are generally acknowledged to approximately obey Heisenberg isotropic exchange. This has not been established for two holes. Here we measure the spectra of two holes and…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Alex Greilich , Ştefan C. Bădescu , Danny Kim , Allan S. Bracker , Daniel Gammon

We investigate a two-electron double quantum dot with both spin and valley degrees of freedom as they occur in graphene, carbon nanotubes, or silicon, and regard the 16-dimensional space with one electron per dot as a four-qubit logic…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Niklas Rohling , Guido Burkard

The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

An alternating electric field, applied to a quantum dot, couples to the electron spin via the spin-orbit interaction. We analyze different types of spin-orbit coupling known in the literature and find two efficient mechanisms of spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vitaly N. Golovach , Massoud Borhani , Daniel Loss

Coherent two-level systems, or qubits, based on electron spins in GaAs quantum dots are strongly coupled to the nuclear spins of the host lattice via the hyperfine interaction. Realizing nuclear spin control would likely improve electron…

Mesoscale and Nanoscale Physics · Physics 2010-06-15 D. J. Reilly , J. M. Taylor , J. R. Petta , C. M. Marcus , M. P. Hanson , A. C. Gossard

We consider the full driven quantum dynamics of a qubit realized as spin of electron in a one-dimensional double quantum dot with spin-orbit coupling. The driving perturbation is taken in the form of a single half-period pulse of electric…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 D. V. Khomitsky , E. Ya. Sherman

Coherent interactions between spins in quantum dots are a key requirement for quantum gates. We have performed pump-probe experiments in which pulsed lasers emitting at different photon energies manipulate two distinct subsets of electron…

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

We review and summarize recent theoretical and experimental work on electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with surrounding nuclear spins. This topic is of particular interest with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 John Schliemann , Alexander Khaetskii , Daniel Loss

The ability to control the quantum state of a single electron spin in a quantum dot is at the heart of recent developments towards a scalable spin-based quantum computer. In combination with the recently demonstrated exchange gate between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. H. L. Koppens , C. Buizert , K. J. Tielrooij , I. T. Vink , K. C. Nowack , T. Meunier , L. P. Kouwenhoven , L. M. K. Vandersypen