Absence of Floquet scattering in oscillating non-Hermitian potential wells

作者:Longhi Stefano*; Della Valle Giuseppe
来源:Physical Review A, 2013, 87(5): 052116.
DOI:10.1103/PhysRevA.87.052116

摘要

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 Schrodinger equation. For one of the two families of scattering-free potentials, the oscillating potential turns out to be fully invisible.

  • 出版日期2013-5-13

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