Quantum chaos with non-periodic, complex orbits in the Resonant Tunneling Diode

Details Quantum chaos with non-periodic, complex orbits in the Resonant Tunneling Diode Quantum chaos with non-periodic, complex orbits in the Resonant Tunneling Diode

1998-06-09

arxiv.org/abs/chao-dyn/9806012v1

Phys. Rev. Lett. 81, 5796 (1998)

Nonlinear Sciences

Chaotic Dynamics

3 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.81.5796

We show that a special type of orbits, which are non-periodic and complex, 'Saddle Orbits' (SOs) describe accurately the quantal and experimental current oscillations in the Resonant Tunneling Diode in tilted fields. This is the first demonstration that one needs to abandon the periodic orbits (POs) paradigm in favour of this new and peculiar type of orbit. The SOs solve the puzzle of broad regions of experimental oscillations where we find no real or complex PO that can explain the data. The SOs succeeds in regimes involving several non-isolated POs, where PO formulas fail.

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