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In the physics literature it is common to see the rotating wave approximation andthe adiabatic approximation used "in cascade" to justify the use of chirped pulses for two-level quantum systems driven by one external field, in particular…

Mathematical Physics · Physics 2021-05-11 Rémi Robin , Nicolas Augier , Ugo Boscain , Mario Sigalotti

We examine a strange chaotic attractor and its unstable periodic orbits in case of one degree of freedom nonlinear oscillator with non symmetric potential. We propose an efficient method of chaos control stabilizing these orbits by a…

Chaotic Dynamics · Physics 2015-06-26 G. Litak , M. Ali , L. M. Saha

For a two-component bosonic system, the components can be mapped onto a pseudo-spin degree of freedom with spin quantum number S=1/2. We provide a rigorous proof that for a wide-range of real Hamiltonians with component independent mass and…

Soft Condensed Matter · Physics 2009-11-07 Kun Yang , You-Quan Li

It is shown that a spin system is equivalent to a set of constrained harmonic oscillators. For finite, but large, systems, a continuous approximation to the density of states can be used, and the oscillator frequencies can be exactly…

Materials Science · Physics 2023-05-19 Gabriel Gil , Augusto Gonzalez

Asymmetric Ising model, in which coupled spins affect each other differently, plays an important role in diverse fields, from physics to biology to artificial intelligence. We show that coupled parametric oscillators provide a…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 C. Han , M. Wang , B. Zhang , M. I. Dykman , H. B. Chan

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

In this paper, we propose a method to construct the decay amplitudes in the orbital ($L$) and spin ($S$) coupling scheme for particles with arbitrary spins. For the $1\to 2$ decay with only massive particles involved, the angular dependence…

High Energy Physics - Phenomenology · Physics 2023-09-14 Xiao-yu Li , Xiang-Kun Dong , Hao-Jie Jing

A theory of spin manipulation of quasi-two-dimensional (2D) electrons by a time-dependent gate voltage applied to a quantum well is developed. The Dresselhaus and Rashba spin-orbit coupling mechanisms are shown to be rather efficient for…

Materials Science · Physics 2007-05-23 E. I. Rashba , Al. L. Efros

We show how to divide a coupled multi-spin system into a small subset of ``active'' spins that evolve under chemical shift or scalar coupling operators, and a larger subset of ``spectator'' spins which are returned to their initial states,…

Quantum Physics · Physics 2009-10-31 N Linden , H Barjat , RJ Carbajo , R Freeman

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

Quantum Physics · Physics 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

Manipulation of spin states at the single-atom scale underlies spin-based quantum information processing and spintronic devices. Such applications require protection of the spin states against quantum decoherence due to interactions with…

Mesoscale and Nanoscale Physics · Physics 2018-11-13 Yujeong Bae , Kai Yang , Philip Willke , Taeyoung Choi , Andreas J. Heinrich , Christopher P. Lutz

The ability to control and manipulate spins via electrical, magnetic and optical means has generated numerous applications in metrology and quantum information science in recent years. A promising alternative method for spin manipulation is…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 Sungkun Hong , Michael S. Grinolds , Patrick Maletinsky , Ronald L. Walsworth , Mikhail D. Lukin , Amir Yacoby

Forced oscillation of a system composed of two pendulums coupled by a spring in the presence of damping is investigated. In the steady state and within the small angle approximation we solve the system equations of motion and obtain the…

Chaotic Dynamics · Physics 2010-06-22 M. Ebrahim Foulaadvand , Davoud Masoumi

This paper presents an overview of a design methodology for the optimal synthesis of hybrid mechanisms. Hybrid mechanisms have been defined as multi-degree of freedom systems where the input motions are supplied by different motor types. In…

Optimization and Control · Mathematics 2016-05-13 Andy M. Connor

The control of Kerr nonlinearity with electric fields in an asymmetric double quantum-dot systems coupling with tunneling is investigated theoretically. It is found that,by proper tuning of two light beams and tunneling via a bias voltage,…

Mesoscale and Nanoscale Physics · Physics 2008-01-25 Yi-Wen Jiang , Ka-Di Zhu

In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are the…

Chaotic Dynamics · Physics 2017-01-19 P. Brzeski , E. Pavlovskaia , T. Kapitaniak , P. Perlikowski

We provide a sufficient condition for the controllability of a bilinear closed quantum system steered by a static field and a time-varying field, based on the notion of weakly conically connected spectrum. More precisely, we show that if a…

Optimization and Control · Mathematics 2026-02-03 Ruikang Liang , Eugenio Pozzoli , Monika Leibscher , Mario Sigalotti , Christiane P. Koch , Ugo Boscain

The physical implementation of the quantum Control-Not gate for a two-spin system is investigated numerically. The concept of a generalized quantum Control-Not gate, with arbitrary phase shift, is introduced. It is shown that a resonant…

Quantum Physics · Physics 2009-09-25 Gennady P. Berman , Gary D. Doolen , Gustavo V. López , V. I. Tsifrinovich

We report spin amplification using a capacitive beam splitter in n-type GaAs where the spin polarization is monitored via transverse electron focusing measurement. It is shown that partially spin-polarized current injected by the emitter…

Mesoscale and Nanoscale Physics · Physics 2018-03-29 Chengyu Yan , Sanjeev Kumar , Kalarikad Thomas , Patrick See , Ian Farrer , David Ritchie , Jonathan Griffiths , Geraint Jones , Michael Pepper

We apply optimal control techniques to an inhomogeneous spin ensemble coupled to a cavity. A general procedure is proposed for designing the control strategies. We numerically show the extent to which optimal control fields robust against…

Quantum Physics · Physics 2018-09-12 Q. Ansel , S. Probst , P. Bertet , S. J. Glaser , D. Sugny