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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 spin-dependent trial wave functions with rotational symmetry are introduced to describe rotating Wigner molecular states with spin degree of freedom in four- and five-electron quantum dots under magnetic fields. The functions are…

Strongly Correlated Electrons · Physics 2009-11-13 Zhensheng Dai , Jia-Lin Zhu , Ning Yang , Yuquan Wang

We propose a method to electrically control electron spins in donor-based qubits in silicon. By taking advantage of the hyperfine coupling difference between a single-donor and a two-donor quantum dot, spin rotation can be driven by…

Mesoscale and Nanoscale Physics · Physics 2017-03-17 Yu Wang , Chin-Yi Chen , Gerhard Klimeck , Michelle Y. Simmons , Rajib Rahman

Influence of resonant oscillating electromagnetic field on a single electron in coupled lateral quantum dots in the presence of phonon-induced relaxation and decoherence is investigated. Using symmetry arguments it is shown that spin and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Peter Stano , Jaroslav Fabian

A design for a quantum gate performing transformations of a single electron spin is presented. The spin rotations are performed by the electron going around the closed loops in a gated semiconductor device. We demonstrate the operation of…

Mesoscale and Nanoscale Physics · Physics 2008-11-25 S. Bednarek , B. Szafran

Using master equations we present an analytical solution of the time evolution of an entangled electron spin pair which can occupy 36 different quantum states in a double quantum dot nanostructure. This solution is exact given a few…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Blaauboer

We study the dynamics of an electron confined in a one-dimensional double quantum dot in the presence of driving external magnetic fields. The orbital motion of the electron is coupled to the spin dynamics by spin orbit interaction of the…

Chaotic Dynamics · Physics 2015-05-30 L. Chotorlishvili , E. Ya. Sherman , Z. Toklikishvili , A. Komnik , J. Berakdar

We propose to use the spin-orbit interaction as a means to control electron spins in quantum dots, enabling both single qubit and two qubit operations. Very fast single qubit operations may be achieved by temporarily displacing the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Anders S. Sorensen , Karsten Flensberg

We have studied theoretically the possibility of ultra-fast manipulation of a single electron spin in 2D semiconductor quantum dots, by means of high-frequency time-dependent electric fields. The electron spin degree of freedom is excited…

Mesoscale and Nanoscale Physics · Physics 2014-10-24 J. A. Budagosky , A. Castro

We study theoretically electron spins in nanowire quantum dots placed inside a transmission line resonator. Because of the spin-orbit interaction, the spins couple to the electric component of the resonator electromagnetic field and enable…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mircea Trif , Vitaly N. Golovach , 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

We present the exact wave functions and energy levels of electron in a two-dimensional circular quantum dot in the presence of the Rashba spin-orbit interaction. The confinement is described by the realistic potential well of finite depth.

Mathematical Physics · Physics 2009-11-17 V. V. Kudryashov

The spin in a rotating frame has attracted a lot of attentions recently, as it deeply relates to both fundamental physics such as pseudo-magnetic field and geometric phase, and applications such as gyroscopic sensors. However, previous…

Quantum Physics · Physics 2019-04-02 Xing-Yan Chen , Tongcang Li , Zhang-qi Yin

It is well-known that time-dependent Schr\"{o}dinger equation can only be exactly solvable in very rare cases, even for two-level quantum systems. Therefore, finding exact quantum dynamics under time-dependent Hamiltonian is not only of…

Quantum Physics · Physics 2024-12-17 Zhi-Cheng He , Yi-Xuan Wu , Zheng-Yuan Xue

The aim of the paper is to study the electron spin direction dependence on momentum due to the presence of Rashba spin-orbit coupling in the pseudo-gap phase of Bi2212 bilayer. The non-trivial spin texture in k-space is found tuneable by…

Superconductivity · Physics 2022-05-25 Udai Prakash Tyagi , Partha Goswami

A systematic method is presented for constructing increasingly precise sequences to refocus off-resonant spin evolution with severely limited control amplitude. Sequences obtained should be readily applicable to the case of electron spin…

Quantum Physics · Physics 2009-09-15 Jonathan Baugh

An important goal in quantum information processing is to reduce the duration of quantum-logical operations. Motivated by this, we provide a theoretical analysis of electrically induced fast dynamics of a single-electron spin-orbit qubit.…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Máté Tibor Veszeli , András Pályi

We derive the effective one-dimensional Schrodinger-Pauli equation for electrons constrained to move on a space curve. The electrons are confined using a double thin-wall quantization procedure with adiabatic separation of fast and slow…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Carmine Ortix

Here we propose an isotropic all electrical spin analyzer in a quantum ring with spin-orbit coupling by analytically and numerically modeling how the charge transmission rates depend on the polarization of the incident spin. The formalism…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Shenglin Peng , Wenchen Luo , Jian Sun , Ai-Min Guo , Fangping Ouyang , Tapash Chakraborty

We consider the dynamics of a quantum particle held in a lattice potential, and subjected to a time-dependent spin-orbit coupling. Tilting the lattice causes the particle to perform Bloch oscillations, and by suitably changing the Rashba…

Mesoscale and Nanoscale Physics · Physics 2020-09-03 Charles Creffield