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We investigate relaxation and dephasing of an electron spin confined in a semiconductor quantum dot and subject to spin-orbit coupling. Even in vanishing magnetic field, B = 0, slow noise coupling to the electron's orbital degree of freedom…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 Pablo San-Jose , Gerd Schön , Alexander Shnirman , Gergely Zarand

We have numerically solved the Hamiltonian of an electron in a semiconductor double ring subjected to the magnetic flux and Rashba spin-orbit interaction. It is found that the Aharonov-Bohm energy spectrum reveals multi-zigzag periodic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Wen-Hsuan Kuan , Chi-Shung Tang , Cheng-Hung Chang

We demonstrate that non-Abelian rotations within the degenerate groundstate manifold of a set of Majorana fermions can be realized by the addition or removal of single electrons, and propose an implementation using Coulomb blockaded quantum…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 Karsten Flensberg

The holonomic manipulation of spin-orbital degenerate states, encoded in the Kramers doublet of narrow semiconducting channels with spin-orbit interaction, is shown to be intimately intertwined with the geometrical shape of the…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 G. Francica , P. Gentile , M. Cuoco

The phase relation between quantum states represents an essential resource for the storage and processing of quantum information. While quantum phases are commonly controlled dynamically by tuning energetic interactions, utilizing geometric…

Holonomic quantum computing (HQC) functions by transporting an adiabatically degenerate manifold of computational states around a closed loop in a control-parameter space; this cyclic evolution results in a non-Abelian geometric phase which…

We present a quantized non-Abelian Berry phase for time reversal invariant systems such as quantum spin Hall effect. Ordinary Berry phase is defined by an integral of Berry's gauge potential along a loop (an integral of the Chern-Simons…

Mesoscale and Nanoscale Physics · Physics 2010-02-03 T. Fukui , T. Fujiwara

We consider a system with spin-orbit coupling and derive equations of motion which include the effects of Berry curvatures. We apply these equations to investigate the dynamics of particles with equal Rashba-Dresselhaus spin-orbit coupling…

Quantum Gases · Physics 2017-04-19 J. Armaitis , J. Ruseckas , E. Anisimovas

The spin Hall effect is investigated in a high mobility two dimensional electron system with the spin-orbital coupling of both the Rashba and the Dresselhaus types. A spin current perpendicular to the electric field is generated by either…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen

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

Chemical relaxation phenomena, including photochemistry and electron transfer processes, form a vigorous area of research in which nonadiabatic dynamics plays a fundamental role. Here, we show that for nonadiabatic dynamics with two…

Chemical Physics · Physics 2022-07-20 Yanze Wu , Xuezhi Bian , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

Spin properties of single electron states in laterally coupled quantum dots in the presence of a perpendicular magnetic field are studied by exact numerical diagonalization. Dresselhaus (linear and cubic) and Bychkov-Rashba spin-orbit…

Other Condensed Matter · Physics 2007-05-23 Peter Stano , Jaroslav Fabian

In semiconductor spin qubits which typically interact through short-range exchange coupling, shuttling of spin is a practical way to generate quantum operations between distant qubits. Although the exchange is often tunable through voltages…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 David W. Kanaar , Utkan Güngördü , J. P. Kestner

Exceptional points are spectral degeneracies of non-Hermitian systems where eigenvalues and eigenvectors coalesce, inducing unique topological phases that have no counterpart in the Hermitian realm. Here we consider a non-Hermitian system…

Mesoscale and Nanoscale Physics · Physics 2023-04-10 Jorge Cayao

In the holonomic approach to quantum computation information is encoded in a degenerate eigenspace of a parametric family of Hamiltonians and manipulated by the associated holonomic gates. These are realized in terms of the non-abelian…

Quantum Physics · Physics 2009-10-31 Jiannis Pachos , Paolo Zanardi , Mario Rasetti

Diabolical points (degeneracies) can naturally occur in spectra of two-dimensional quantum systems and classical wave resonators due to simple symmetries. Geometric Berry phase is associated with these spectral degeneracies. Here, we…

We have found a manifestation of spin-orbit Berry phase in the conductance of a mesoscopic loop with Rashba spin-orbit coupling placed in an external magnetic field perpendicular to the loop plane. In detail, the transmission probabilities…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Maxim P. Trushin , Alexander L. Chudnovskiy

We demonstrate multipulse quantum control of a single electron charge qubit. The qubit is manipulated by applying nonadiabatic voltage pulses to a surface depletion gate and readout is achieved using a quantum point contact charge sensor.…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 Y. Dovzhenko , J. Stehlik , K. D. Petersson , J. R. Petta , H. Lu , A. C. Gossard

Hole-spins localized in semiconductor structures, such as quantum dots or defects, serve to the realization of efficient gate-tunable solid-state quantum bits. Here we study two electrically driven spin $3/2$ holes coupled to the…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Marcin M. Wysokiński , Marcin Płodzień , Mircea Trif

A novel method of coherent manipulation of the electron tunneling in quantum-dots is proposed, which utilizes the quantum interference in nonadiabatic double-crossing of the discrete energy levels. In this method, we need only a smoothly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Keiji Saito , Yosuke Kayanuma