Tunneling in a time-dependent setting

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Tunneling in a time-dependent setting.

A standard approach to analyzing tunneling processes in various physical contexts is to use instanton or imaginary time path techniques. For systems in which the tunneling takes place in a time dependent setting, the standard methods are often applicable only in special cases, e.g. due to some additional symmetries. We consider a collection of time dependent tunneling problems to which the stan...

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Solutions to explicit time-dependent problems in quantum mechanics are rare. In fact, all known solutions are coupled to specific properties of the Hamiltonian and may be divided into two categories: One class consists of time-dependent Hamiltonians which are not higher than quadratic in the position operator, like i.e. the driven harmonic oscillator with time-dependent frequency. The second cl...

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Numerical studies of tunneling in a nonharmonic time-dependent potential.

Tunneling through time-dependent potentials is of relevance to a number of physical problems. Using a WKB analysis Azbel' has recently studied the effects of a nonharmonic time-dependent perturbation embedded in an opaque potential barrier. He suggests the existence of three different regimes for transmission in such systems: direct tunneling, activation assisted tunneling, and elevator resonan...

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Multiphoton Ionization as Time–Dependent Tunneling

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ژورنال

عنوان ژورنال: Physical Review D

سال: 1996

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.54.7407