Non Linear Current Response of a Many-Level Tunneling System: Higher Harmonics Generation

Details Non Linear Current Response of a Many-Level Tunneling System: Higher Harmonics Generation Non Linear Current Response of a Many-Level Tunneling System: Higher Harmonics Generation

1996-05-28

arxiv.org/abs/cond-mat/9605172v1

Physics

Condensed Matter

28 pages, LaTex, 7 figures are available upon request from goldin@bgumail.bgu.ac.il, submitted to Phys.Rev.B

Scientific paper

10.1103/PhysRevB.55.16359

The fully nonlinear response of a many-level tunneling system to a strong alternating field of high frequency $\omega$ is studied in terms of the Schwinger-Keldysh nonequilibrium Green functions. The nonlinear time dependent tunneling current $I(t)$ is calculated exactly and its resonance structure is elucidated. In particular, it is shown that under certain reasonable conditions on the physical parameters, the Fourier component $I_{n}$ is sharply peaked at $n=\frac {\Delta E} {\hbar \omega}$, where $\Delta E$ is the spacing between two levels. This frequency multiplication results from the highly nonlinear process of $n$ photon absorption (or emission) by the tunneling system. It is also conjectured that this effect (which so far is studied mainly in the context of nonlinear optics) might be experimentally feasible.

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