Quantum tunnelling of magnetization in an alternating magnetic field: localization and chaos

Hemmen, J. Leo van; Hey, H; Wreszinski, Walter F.

doi:10.1088/0305-4470/30/18/017

Cited by 6 publications

(5 citation statements)

References 25 publications

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“…which show that the two variables φ and s 3 are canonical for the problem [7]. The other way is to write the Hamiltonian of the system as…”

Section: Functional Integral Approach For the Stokes Parametersmentioning

confidence: 96%

“…Indeed, the parameters defined by (8) are identical to the definitions (4)- (7). Then, we write the path integral expression [14] for the transition amplitude between states |ψ and |ψ , following the original idea of Feynman [15]:…”

Section: Functional Integral Approach For the Stokes Parametersmentioning

confidence: 99%

“…The space-evolution of the polarization is then analogous to the problem of time-evolution of a 2-states quantum system. For the latter, a number of results are yet known, as the problem corresponds to important and active topics in the recent physics, such as Josephson effect for neutral atoms [4], quantum dynamics of atomic Bose-Einstein condensate in a double-well potential [5], dynamics of mesoscopic quantum spins [7], 4-momentum evolution of a negatively-charged massless relativistic particle in electromagnetic field [6], etc. As a result of the formal equivalence, any result in one field can be translated into results in another context.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Preparation of Various Supramolecular Assemblies and Measurement of Photoresponse Behaviors

Ozawa

Kawao

Uno

et al. 2010

Jpn. J. Appl. Phys.

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Evolution of the polarization state of light transmitted through an optically active medium follows from the Maxwell theory of electromagnetism. The theory can be reduced to the study of a Schrödinger-like equation for two levels representing the right-and left-circular polarizations, respectively. Using quantum mechanical techniques, we show that the Stokes parameters should exhibit tunneling in the anisotropic nonlinear medium-a phenomenon similar to quantum tunneling-provided the nonlinear parameter be large enough. In order to recover the quantum results in the classical framework, one has to consider additional fluctuations of the initial parameters, since the classical problem has no fundamental fluctuations. Indeed, even for small fluctuations, the polarization state may exhibit chaotic tunneling across classically forbidden regions. This is exemplified through polarization tunneling in a nonlinear transparent medium submitted to constant Kerr effect and modulated nonlinear parameter.

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“…which show that the two variables φ and s 3 are canonical for the problem [7]. The other way is to write the Hamiltonian of the system as…”

Section: Functional Integral Approach For the Stokes Parametersmentioning

confidence: 96%

Section: Functional Integral Approach For the Stokes Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Preparation of Various Supramolecular Assemblies and Measurement of Photoresponse Behaviors

Ozawa

Kawao

Uno

et al. 2010

Jpn. J. Appl. Phys.

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show abstract

“…The case E = 0 has been previously studied in Ref. [17]. This Hamiltonian can be used as a model for describing the magnetic degrees of freedom of several single molecule nanomagnets [2].…”

Section: Effective Slow Dynamicsmentioning

confidence: 99%

Dynamical quenching of tunneling in molecular magnets

Santander

Núñez

Roldán-Molina

et al. 2015

Journal of Magnetism and Magnetic Materials

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It is shown that a single molecular magnet placed in a rapidly oscillating magnetic field displays the phenomenon of quenching of tunneling processes. The results open a way to manipulate the quantum states of molecular magnets by means of radiation in the terahertz range. Our analysis separates the time evolution into slow and fast components thereby obtaining an effective theory for the slow dynamics. This effective theory presents quenching of the tunnel effect. In particular, stands out its difference with the so-called coherent destruction of tunneling. We support our prediction with numerical evidence based on an exact solution of the Schr\"odinger's equation

show abstract

“…Indeed, the parameters defined by ( 8) are identical to the definitions (4)- (7). Then, we write the path integral expression [14] for the transition amplitude between states |ψ and |ψ , following the original idea of Feynman [15]:…”

Section: Functional Integral Approach For the Stokes Parametersmentioning

confidence: 99%

Light-polarization tunneling in optically active media

Botet

Kuratsuji

2008

J. Phys. A: Math. Theor.

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Evolution of the polarization state of light transmitted through an optically active medium follows from the Maxwell theory of electromagnetism. The theory can be reduced to the study of a Schrödinger-like equation for two levels representing the right- and left-circular polarizations, respectively. Using quantum mechanical techniques, we show that the Stokes parameters should exhibit tunneling in the anisotropic nonlinear medium—a phenomenon similar to quantum tunneling—provided the nonlinear parameter be large enough. In order to recover the quantum results in the classical framework, one has to consider additional fluctuations of the initial parameters, since the classical problem has no fundamental fluctuations. Indeed, even for small fluctuations, the polarization state may exhibit chaotic tunneling across classically forbidden regions. This is exemplified through polarization tunneling in a nonlinear transparent medium submitted to constant Kerr effect and modulated nonlinear parameter.

show abstract

Quantum tunnelling of magnetization in an alternating magnetic field: localization and chaos

Cited by 6 publications

References 25 publications

Preparation of Various Supramolecular Assemblies and Measurement of Photoresponse Behaviors

Preparation of Various Supramolecular Assemblies and Measurement of Photoresponse Behaviors

Dynamical quenching of tunneling in molecular magnets

Light-polarization tunneling in optically active media

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