Quantum computing with particle in a driven square well
نویسندگان
چکیده
منابع مشابه
Gauge transformations for a driven quantum particle in an infinite square well
Quantum mechanics of a particle in an infinite square well under the influence of a time-dependent electric field is reconsidered. In some gauge, the Hamiltonian depends linearly on the momentum operator which is symmetric but not self-adjoint when defined on a finite interval. In spite of this symmetric part, the Hamiltonian operator is shown to be self-adjoint. This follows from a theorem by ...
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The quantum dynamics of the periodically-driven infinite square well is examined. This simple system illustrates some important aspects of quantum chaos. The phase space structure of the quantum eigenstates are shown to mimic the structure of the classical phase space and these eigenstates show a transition from “regular” to “chaotic” as the strength of the driving field is increased. The spaci...
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We consider a non relativistic charged particle in a 1D infinite square potential well. This quantum system is subjected to a control, which is a uniform (in space) time depending electric field. It is represented by a complex probability amplitude solution of a Schrödinger equation on a 1D bounded domain, with Dirichlet boundary conditions. We prove the almost global approximate stabilization ...
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The classical and quantum dynamics of a particle trapped in a one-dimensional infinite square well with a time-periodic pulsed field is investigated. This is a two-parameter non-KAM (Kolmogorov-Arnold-Moser) generalization of the kicked rotor, which can be seen as the standard map of particles subjected to both smooth and hard potentials. The virtue of the generalization lies in the introductio...
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We study accelerator modes of a particle, confined in an one-dimensional infinite square well potential, subjected to a time-periodic pulsed field. Dynamics of such a particle can be described by one generalization of the kicked rotor. In comparison with the kicked rotor, this generalization is shown to have a much larger parametric space for existence of the modes. Using this freedom we provid...
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ژورنال
عنوان ژورنال: Journal of Russian Laser Research
سال: 2008
ISSN: 1071-2836,1573-8760
DOI: 10.1007/s10946-008-9036-z