Absence of Floquet scattering in oscillating non-Hermitian potential wells

Abstract

Scattering of a quantum particle from an oscillating barrier or well does not generally conserve the particle energy owing to energy exchange with the photon field, and an incoming particle-free state is scattered into a set of outgoing (transmitted and reflected) free states according to Floquet scattering theory. Here we introduce two families of oscillating non-Hermitian potential wells in which Floquet scattering is fully suppressed for any energy of the incident particle. The scattering-free oscillating potentials are synthesized by application of the Darboux transformation to the time-dependent Schrödinger equation. For one of the two families of scattering-free potentials, the oscillating potential turns out to be fully invisible.

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References in corpus (9)

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• Driven quantum transport on the nanoscale
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Cited by in corpus (5)

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• Non-hermitian time evolution: from static to parametric instability