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We study a bipartite collective spin-$1$ model with exchange interaction between the spins. The bipartite nature of the model manifests itself by the spins being divided into two equal-sized subsystems; within each subsystem the spin-spin…

Statistical Mechanics · Physics 2021-07-07 Dávid Jakab , Zoltán Zimborás

The implementation of a functional quantum computer involves entangling and coherent manipulation of a large number of qubits. For qubits based on electron spins confined in quantum dots, which are among the most investigated solid-state…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Guang Yang , Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

We formulate a low-energy theory for the magnetic interactions between electrons in the multi-band Hubbard model under non-equilibrium conditions determined by an external time-dependent electric field which simulates laser-induced spin…

Strongly Correlated Electrons · Physics 2013-04-11 Andrea Secchi , Sergei Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

The goal of this article is to review the progress of three-electron spin qubits from their inception to the state of the art. We direct the main focus towards the resonant exchange (RX) qubit and the exchange-only qubit, but we also…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Maximilian Russ , Guido Burkard

We show that the stochastic dynamics of a large class of one-dimensional interacting particle systems may be presented by integrable quantum spin Hamiltonians. Generalizing earlier work \cite{Stin95a,Stin95b} we present an alternative…

Statistical Mechanics · Physics 2009-10-31 Gunter M. Schütz

he multiqubit entangled states are coherently controlled in the quantum spin systems composed of $N+1$ interacting antiferromagnetic molecular rings. The tunable intermolecular couplings arise from the local exchange interactions between…

Quantum Physics · Physics 2009-03-17 Xiang Hao , Tao Pan , Taocheng Zang , Shiqun Zhu

We relate a large class of classical spin models, including the inhomogeneous Ising, Potts, and clock models of q-state spins on arbitrary graphs, to problems in quantum physics. More precisely, we show how to express partition functions as…

Quantum Physics · Physics 2015-06-26 M. Van den Nest , W. Dür , H. J. Briegel

We study the quantum phase transition in a spin chain with variable Ising interaction and position-dependent coupling to a resonator field. Such a complicated model, usually not present in natural physical systems, can be simulated by an…

Quantum Physics · Physics 2015-06-23 Yu-Na Zhang , Xi-Wang Luo , Guang-Can Guo , Zheng-Wei Zhou , Xingxiang Zhou

Coherent excitation of an ensemble of quantum objects underpins quantum many-body phenomena, and offers the opportunity to realize a quantum memory to store information from a qubit. Thus far, a deterministic and coherent interface between…

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

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 show that a 3-qubit system as studied for quantum information purposes can alternatively be used as a thermodynamic machine when driven in finite time and interfaced between two split baths. The spins are arranged in a chain where the…

Statistical Mechanics · Physics 2007-05-23 M. J. Henrich , M. Michel , G. Mahler

We discuss the microscopic modeling of exchange interactions between double semiconductor quantum dots used as spin qubits. Starting from a reference full configuration interaction (CI) calculation for the two-particle wave functions, we…

Mesoscale and Nanoscale Physics · Physics 2025-10-31 Mauricio J. Rodríguez , Esteban A. Rodríguez-Mena , Ahmad Fouad Kalo , Yann-Michel Niquet

We carried out a nested Schrieffer-Wolff transformation of an Anderson two-impurity Hamiltonian to study the spin-spin coupling between two dynamical quantum dots under the influence of rotating transverse magnetic field. As a result of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Vahram L. Grigoryan , Jiang Xiao

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 develop a dynamical symmetry approach to path integrals for general interacting quantum spin systems. The time-ordered exponential obtained after the Hubbard-Stratonovich transformation can be disentangled into the product of a finite…

Strongly Correlated Electrons · Physics 2013-12-25 Matous Ringel , Vladimir Gritsev

Electric fields represent an ideal means for controlling spins at the nanoscale and, more specifically, for manipulating protected degrees of freedom in multispin systems. Here we perform low-temperature magnetic far-IR spectroscopy on a…

Mesoscale and Nanoscale Physics · Physics 2025-02-03 Florian le Mardelé , Ivan Mohelský , Jan Wyzula , Milan Orlita , Philippe Turek , Filippo Troiani , Athanassios K. Boudalis

The transmission of quantum states in the anisotropic Heisenberg XXZ chain model with three-spin exchange interaction is studied. The average fidelity is used to evaluate the state transfer. It is found out that quantum communication can be…

Quantum Physics · Physics 2012-08-09 Xiang Hao , Shiqun Zhu

Quantum computing and quantum communication are remarkable examples of new information processing technologies that arise from the coherent manipulation of spins in nanostructures. We review our theoretical proposal for using electron spins…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael N. Leuenberger , Daniel Loss

Nonpairwise multi-qubit interactions present a useful resource for quantum information processors. Their implementation would facilitate more efficient quantum simulations of molecules and combinatorial optimization problems, and they could…

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