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Ising machines show promise as ultrafast hardware for optimizations encoded in Ising Hamiltonians but fall short in terms of success rate and performance scaling. Here, we propose a novel Ising machine that exploits the three-dimensional…

Iterative rounding and relaxation have arguably become the method of choice in dealing with unconstrained and constrained network design problems. In this paper we extend the scope of the iterative relaxation method in two directions: (1)…

Data Structures and Algorithms · Computer Science 2015-05-18 Nikhil Bansal , Rohit Khandekar , Jochen Konemann , Viswanath Nagarajan , Britta Peis

The ability to transport quantum information across some distance can facilitate the design and operation of a quantum processor. One-dimensional spin chains provide a compact platform to realize scalable spin transport for a solid-state…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Fahd A. Mohiyaddin , Rachpon Kalra , Arne Laucht , Rajib Rahman , Gerhard Klimeck , Andrea Morello

A general theory is developed for describing the nonlinear relaxation of spin systems from a strongly nonequilibrium initial state, when, in addition, the sample is coupled to a resonator. Such processes are characterized by nonlinear…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

Of the Ising spin chain with the nearest neighbor or up to the second nearest neighbor interactions, we fixed progressively either a single spin or a pair of neighboring spins at the value they took. Before the subsequent fixation, the…

Statistical Mechanics · Physics 2018-08-01 Michael Etienne , Ken Sekimoto

We investigate relaxations for a class of discrete bilevel programs where the interaction constraints linking the leader and the follower are linear. Our approach reformulates the upper-level optimality constraints by projecting the…

Optimization and Control · Mathematics 2024-07-26 Leonardo Lozano , David Bergman , Andre Augusto Cire

We have investigated spatio-temporal kinetics of electron spin polarization in semiconductor narrow 2D strip and explored the ability to manipulate spin relaxation. Information about spin of the conduction electrons and mechanisms of spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. A. Kiselev , K. W. Kim

Given a family of systems, identifying stabilizing switching signals in terms of infinite walks constructed by concatenating cycles on the underlying directed graph of a switched system that satisfy certain conditions, is a well-known…

Systems and Control · Computer Science 2020-05-18 Atreyee Kundu

This paper studies the optimal transmission switching (OTS) problem for power systems, where certain lines are fixed (uncontrollable) and the remaining ones are controllable via on/off switches. The goal is to identify a topology of the…

Optimization and Control · Mathematics 2017-11-29 Salar Fattahi , Javad Lavaei , Alper Atamturk

We present a procedure to solve the inverse Ising problem, that is to find the interactions between a set of binary variables from the measure of their equilibrium correlations. The method consists in constructing and selecting specific…

Disordered Systems and Neural Networks · Physics 2015-05-30 Simona Cocco , Rémi Monasson

This paper proposes an effective diffusion equation method to analyze nuclear magnetic resonance (NMR) relaxation. NMR relaxation is a spin system recovery process, where the evolution of the spin system is affected by the random field due…

Chemical Physics · Physics 2021-03-31 Guoxing Lin

We use semiclassical Monte Carlo approach to investigate spin polarized transport in InP and InSb nanowires. Spin dephasing in III-V channels is caused due to D'yakonov- Perel (DP) relaxation and due to Elliott-Yafet (EY) relaxation. The DP…

Mesoscale and Nanoscale Physics · Physics 2011-06-24 Ashish Kumar , Bahniman Ghosh

From condensed matter to quantum chromodynamics, multidimensional spins are a fundamental paradigm, with a pivotal role in combinatorial optimization and machine learning. Machines formed by coupled parametric oscillators can simulate spin…

Optics · Physics 2022-11-29 Marcello Calvanese Strinati , Claudio Conti

Propagation of information encoded in spin degrees of freedom through networks of coupled spins enables important applications in spintronics and quantum information processing. We study control of information propagation in networks of…

Quantum Physics · Physics 2019-10-15 Frank Langbein , Sophie Schirmer , Edmond Jonckheere

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

In this paper we apply an optimal control technique to derive control fields that transfer an electron between ends of a chain of donors or quantum dots. We formulate the transfer as an optimal steering problem, and then derive the dynamics…

Quantum Physics · Physics 2013-07-01 Jun Zhang , Loren Greenman , Xiaotian Deng , Ian M. Hayes , K. Birgitta Whaley

In this paper we use a spin kinetic equation to study spin polarization dynamics in 1D wires and 2D channels. This approach is valid in both diffusive and ballistic spin transport regimes and, therefore, more general than the usual spin…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 V. A. Slipko , Y. V. Pershin

We have studied dimerized spin systems by realizing the cluster expansion to high order. We have extended our previous dimer expansion for one-dimensional systems to cover weakly interacting chains for a quantitative description of three…

Strongly Correlated Electrons · Physics 2009-11-07 H. -J. Mikeska , M. Mueller

We study the dynamical simulation of open quantum spin chain with nearest neighboring coupling, where each spin in the chain is associated with a harmonic bath. This is an extension of our previous work [G. Wang and Z. Cai, J. Chem. Theory…

Quantum Physics · Physics 2024-10-24 Yixiao Sun , Geshuo Wang , Zhenning Cai

We study the relaxation of a spin density injected into a two-dimensional electron system with generic spin-orbit interactions. Our model includes the Rashba as well as linear and cubic Dresselhaus terms. We explicitly derive a general…

Materials Science · Physics 2013-05-29 Tudor D. Stanescu , Victor Galitski
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