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The inclusion of charging and spin-exchange interactions within the Universal Hamiltonian description of quantum dots is challenging as it leads to a non-Abelian action. Here we present an {\it exact} analytical solution of the probem, in…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 I. S. Burmistrov , Yuval Gefen , M. N. Kiselev

The inclusion of charging and spin-exchange interactions within the Universal Hamiltonian description of quantum dots is challenging as it leads to a non-Abelian action. Here we present an exact analytical solution of the probem, in…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 I. S. Burmistrov , Yuval Gefen , M. N. Kiselev

The effects of spin-orbit coupling on the two-electron spectra in lateral coupled quantum dots are investigated analytically and numerically. It is demonstrated that in the absence of magnetic field the exchange interaction is practically…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 Fabio Baruffa , Peter Stano , Jaroslav Fabian

We study the spin-spin interaction between quantum dots coupled through a two dimensional electron gas with spin-orbit interaction. We show that the interplay between transverse electron focusing and spin-orbit coupling allows to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gonzalo Usaj , C. A. Balseiro

The influence of the spin-orbit interactions on the energy spectrum of two-electron laterally coupled quantum dots is investigated. The effective Hamiltonian for a spin qubit pair proposed in F. Baruffa et al., Phys. Rev. Lett. 104, 126401…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Fabio Baruffa , Peter Stano , Jaroslav Fabian

The electronic states of a parabolic quantum dot in a magnetic field are studied with the inclusion of the spin-orbit interaction. The analitycal formulae for the ground state energy of the interacting system are derived. The spin-orbit…

Condensed Matter · Physics 2009-10-28 L. Jacak , J. Krasnyj , A. Wojs

We obtain a microscopic description of the interaction between electron spins in bulk semiconductors and in pairs of semiconductor quantum dots. Treating the k.p band mixing and the Coulomb interaction on the same footing, we obtain in the…

Other Condensed Matter · Physics 2007-05-23 Ş. C. Bădescu , Y. Lyanda-Geller , T. L. Reinecke

We have investigated few-body states in vertically stacked quantum dots. Due to small inter-dot tunneling rate, the coupling in our system is in a previously unexplored regime where electron-hole exchange is the dominant spin interaction.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Stefan Falt , Mete Atature , Hakan E. Tureci , Yong Zhao , Antonio Badolato , Atac Imamoglu

The symmetry of exchange interaction of charge carriers in semiconductor nanostructures (quantum wells and quantum dots) is analysed. It is shown that the exchange Hamiltonian of two particles belonging to the same energy band can be…

Condensed Matter · Physics 2013-05-29 K. V. Kavokin

We study a Hamiltonian system describing a three-spin-1/2 cluster-like interaction competing with an Ising-like anti-ferromagnetic interaction. We compute free energy, spin correlation functions and entanglement both in the ground and in…

Quantum simulation of spin models can provide insight into complex problems that are difficult or impossible to study with classical computers. Trapped ions are an established platform for quantum simulation, but only systems with fewer…

We theoretically consider the temporal dynamics of two coupled spin qubits (e.g., semiconductor quantum dots) driven by the inter-qubit spin-spin coupling. The presence of environmental noise (e.g., charge traps, nuclear spins, random…

Mesoscale and Nanoscale Physics · Physics 2016-07-29 S. Das Sarma , Robert E. Throckmorton , Yang-Le Wu

We perform time-dependent simulations of spin exchange for an electron pair in laterally coupled quantum dots. The calculation is based on configuration interaction scheme accounting for spin-orbit (SO) coupling and electron-electron…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 M. P. Nowak , B. Szafran

We formulate a general theory to study the time-dependent charge and energy transport of an adiabatically driven interacting quantum dot in contact to a reservoir for arbitrary amplitudes of the driving potential. We study within this…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Javier I. Romero , Pablo Roura-Bas , Armando A. Aligia , Liliana Arrachea

This study investigates the entanglement properties of quantum dots (QDs) under a universal Hamiltonian where the Coulomb interaction between particles (electrons or holes) decouples into a charging energy and an exchange coupling term.…

Quantum Physics · Physics 2024-08-13 Jahanfar Abouie , Daryoosh Vashaee

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 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

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

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

We study exchange coupling in Si double quantum dots, which have been proposed as suitable candidates for spin qubits due to their long spin coherence times. We discuss in detail two alternative schemes which have been proposed for…

Mesoscale and Nanoscale Physics · Physics 2010-02-12 Qiuzi Li , Lukasz Cywinski , Dimitrie Culcer , Xuedong Hu , S. Das Sarma
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