From quantum ladder climbing to classical autoresonance

Marcus, Gilad; Frièdland, L.; Zigler, A.

doi:10.1103/physreva.69.013407

Cited by 47 publications

(69 citation statements)

References 16 publications

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“…In addition, we used the single resonance assumption, allowing to discard higher nonresonant harmonic contribution in deriving Eq. (5), which requires P 1 /P 2 1 and is guaranteed by (29). The location of P 1 = P 2 is shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…The results of this work can be used in analysing existing and planning future experiments. It also seems important to generalize the theory into the quantum regime and study the transition from the quantum ladder climbing to the classical autoresonance [29,40] in the problem of molecular rotations. Finally, a similar phase space analysis can be applied in studying the problem of capture into autoresonance in other dynamical systems.…”

Section: Discussionmentioning

confidence: 99%

“…By using methods in the theory of AR and analyzing the associated phase space dynamics we will for the first time calculate the efficiency of the OC process. The quantum counterpart of the AR is the quantum energy ladder climbing [29][30][31], but we will show that the classical AR analysis is relevant to many current experimental setups.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Capture into resonance and phase-space dynamics in an optical centrifuge

Armon

Frièdland

2016

Phys. Rev. A

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The process of capture of a molecular enesemble into rotational resonance in the optical centrifuge is investigated. The adiabaticity and phase space incompressibility are used to find the resonant capture probability in terms of two dimensionless parameters P1,2 characterising the driving strength and the nonlinearity, and related to three characteristic time scales in the problem. The analysis is based on the transformation to action-angle variables and the single resonance approximation, yielding reduction of the three-dimensional rotation problem to one degree of freedom. The analytic results for capture probability are in a good agreement with simulations. The existing experiments satisfy the validity conditions of the theory.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Capture into resonance and phase-space dynamics in an optical centrifuge

Armon

Frièdland

2016

Phys. Rev. A

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“…This approach was originally devised for a simple nonlinear oscillator (e.g., a pendulum) driven by a chirped force with a slowly varying frequency [15][16][17]. If the driving amplitude exceeds a certain threshold, then the nonlinear frequency of the oscillator stays locked to the excitation frequency, so that the resonant match is never lost (until, of course, some other effects start to kick in).…”

Section: Introductionmentioning

confidence: 99%

Autoresonant control of the magnetization switching in single-domain nanoparticles

Klughertz¹,

Hervieux

Manfredi

2014

J. Phys. D: Appl. Phys.

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The ability to control the magnetization switching in nanoscale devices is a crucial step for the development of fast and reliable techniques to store and process information. Here we show that the switching dynamics can be controlled efficiently using a microwave field with slowly varying frequency (autoresonance). This technique allowed us to reduce the applied field by more than 30% compared to competing approaches, with no need to fine-tune the field parameters. For a linear chain of nanoparticles the effect is even more dramatic, as the dipolar interactions tend to cancel out the effect of the temperature. Simultaneous switching of all the magnetic moments can thus be efficiently triggered on a nanosecond timescale. * Electronic address: manfredi@unistra.fr

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“…Examples include resonant capture in planetary dynamics (see Batygin 2015 and references therein), excitation of nonlinear waves (Friedland & Shagalov 2005;Barak et al 2009), manipulation of trapped particle distributions for formation of antihydrogen (Andersen et al 2010), resonant control of atomic and molecular systems (Karczmarek et al 1999;Grosfeld & Friedland 2002;Marcus, Friedland & Zigler 2004) and more. The basic model of the passage through resonance is that of a particle of mass m and charge q in an anharmonic potential driven by a chirped frequency oscillating electric field.…”

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confidence: 99%

Chirped resonance dynamics in phase space

Armon

Frièdland

2016

J. Plasma Phys.

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The dynamics of passage and capture into resonance of a distribution of particles driven by a chirped frequency perturbation is discussed. The resonant capture in this case involves crossing of the separatrix by individual particles and, therefore, the adiabatic theorem cannot be used in studying this problem no matter how slow the variation of the driving frequency is. It is shown that, if instead of analysing complicated single particle dynamics in passage through resonance, one considers the slow evolution of a whole distribution of initial conditions in phase space, the adiabaticity and phase space incompressibility arguments yield a solution to the resonant passage problem. This approach is illustrated in the case of an ensemble of electrons driven by a chirped frequency wave passing through Cherenkov resonances with the velocity distribution of electrons.

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From quantum ladder climbing to classical autoresonance

Cited by 47 publications

References 16 publications

Capture into resonance and phase-space dynamics in an optical centrifuge

Capture into resonance and phase-space dynamics in an optical centrifuge

Autoresonant control of the magnetization switching in single-domain nanoparticles

Chirped resonance dynamics in phase space

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