arXiv 0908.44752009-08-31quant-ph

Multi-barrier resonant tunneling for the one-dimensional nonlinear Schrödinger Equation

K Rapedius, H J Korsch

备注：: 22 pages, 11 figures
发表信息：: J. Phys. A: Math. Theor. 42 (2009) 425301
DOI：: 10.1088/1751-8113/42/42/425301

英文摘要：

For the stationary one-dimensional nonlinear Schrödinger equation (or Gross-Pitaevskii equation) nonlinear resonant transmission through a finite number of equidistant identical barriers is studied using a (semi-) analytical approach. In addition to the occurrence of bistable transmission peaks known from nonlinear resonant transmission through a single quantum well (respectively a double barrier) complicated (looped) structures are observed in the transmission coefficient which can be identified as the result of symmetry breaking similar to the emergence of self-trapping states in double well potentials. Furthermore it is shown that these results are well reproduced by a nonlinear oscillator model based on a small number of resonance eigenfunctions of the corresponding linear system.

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