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Realizable spin models are investigated in a two superconducting flux qubit system. It is shown that a specific adjustment of system parameters in the two flux qubit system makes it possible to realize an artificial two-spin system that…

Mesoscale and Nanoscale Physics · Physics 2007-06-19 Qian Qian Shi , Sam Young Cho , Bo Li , Mun Dae Kim

We present a theory for the dissipation of electronic spins trapped in quantum dots due to their coupling to the host lattice acoustic phonon modes. Based on the theory of dissipative two level systems for the spin dynamics, we derive a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Harry Westfahl , Amir O. Caldeira , Gilberto Medeiros-Ribeiro , Maya Cerro

We explore an unusual type of quantum matter that can be realized by qubits having different physical origin. Interactions in this matter are described by essentially different coupling operators for all qubits. We show that at least the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 V. Y. Chernyak , N. A. Sinitsyn , C. Sun

We consider quantum trajectories of composite systems as generated by the stochastic unraveling of the respective Lindblad-master-equation. Their classical limit is taken to correspond to local jumps between orthogonal states. Based on…

Quantum Physics · Physics 2009-10-31 C. M. Granzow , G. Mahler

Spin models of neural networks and genetic networks are considered elegant as they are accessible to statistical mechanics tools for spin glasses and magnetic systems. However, the conventional choice of variables in spin systems may cause…

Disordered Systems and Neural Networks · Physics 2012-12-10 Matthias Rybarsch , Stefan Bornholdt

Controlling the motion of macroscopic oscillators in the quantum regime has been the subject of intense research in recent decades. In this direction, opto-mechanical systems, where the motion of micro-objects is strongly coupled with laser…

Quantum Physics · Physics 2021-06-03 Maxime Perdriat , Clément Pellet-Mary , Paul Huillery , Loïc Rondin , Gabriel Hétet

The ability to manipulate coherently individual quantum objects organized in arrays is a prerequisite to any scalable quantum information platform. For electron spin qubits, it requires the fine tuning of large arrays of tunnel-coupled…

Quantum state transfer is an important task in quantum information processing. It is known that one can engineer the couplings of a one-dimensional spin chain to achieve the goal of perfect state transfer. To leverage the value of these…

Quantum Physics · Physics 2016-10-05 Man-Hong Yung

This paper deals with transient stability in interconnected micro-grids. The main contribution involves i) robust classification of transient dynamics for different intervals of the micro-grid parameters (synchronization, inertia, and…

Optimization and Control · Mathematics 2017-08-25 Dario Bauso

Recent experiments on semiconductor quantum dots have demonstrated the ability to utilize a large quantum dot to mediate superexchange interactions and generate entanglement between distant spins. This opens up a possible mechanism for…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Kuangyin Deng , Edwin Barnes

We review some recent work on the synchronization of coupled dynamical systems on a variety of networks. When nodes show synchronized behaviour, two interesting phenomena can be observed. First, there are some nodes of the floating type…

Chaotic Dynamics · Physics 2009-11-11 R. E. Amritkar , Sarika Jalan

We consider $n$-dimensional discrete motions such that any two neighbouring positions correspond in a pure rotation ("rotating motions"). In the Study quadric model of Euclidean displacements these motions correspond to quadrilateral nets…

Differential Geometry · Mathematics 2012-05-10 Hans-Peter Schröcker

We compare quantum dynamics in the presence of Markovian dephasing for a particle hopping on a chain and for an Ising domain wall whose motion leaves behind a string of flipped spins. Exact solutions show that on an infinite chain, the…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Claudio Castelnovo , Mark I. Dykman , Vadim N. Smelyanskiy , Roderich Moessner , Leonid P. Pryadko

We consider spin systems between a finite number $N$ of "species" or "phases" partitioning a cubic lattice $\mathbb{Z}^d$. We suppose that interactions between points of the same phase are coercive, while between point of different phases…

Analysis of PDEs · Mathematics 2015-12-02 Braides Andrea , Chiadò Piat Valeria , Solci Margherita

We consider an agent on a fixed but arbitrary node of a known threshold network, with the task of detecting an unknown missing link/node. We obtain analytic formulas for the probability of success, when the agent's tool is the free…

Quantum Physics · Physics 2011-01-26 Steve Kirkland , Simone Severini

This article studies the decoherence induced on a system of two qubits by local interactions with a spin chain with nontrivial internal dynamics (governed by an XY Hamiltonian). Special attention is payed to the transition between two…

Quantum Physics · Physics 2013-05-29 Cecilia Cormick , Juan Pablo Paz

Spin networks, essentially labeled graphs, are ``good quantum numbers'' for the quantum theory of geometry. These structures encompass a diverse range of techniques which may be used in the quantum mechanics of finite dimensional systems,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Seth A. Major

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

We show how branching spin chains can be used to both generate and distribute entanglement from their natural dynamics. Such entanglement provides a useful resource, for example for teleportation or distributed quantum processing. Once…

Quantum Physics · Physics 2007-05-23 Irene D'Amico , Brendon W. Lovett , Timothy P. Spiller

The theory of spin fluctuations is developed for an ensemble of localized electrons taking into account both hyperfine interaction of electron and nuclear spins and electron hopping between the sites. The analytical expression for the spin…

Mesoscale and Nanoscale Physics · Physics 2015-05-07 M. M. Glazov