# Quantum Wells in Tilted Fields: Semiclassical Amplitudes and Phase Coherence Times

@article{Monteiro2001QuantumWI,
title={Quantum Wells in Tilted Fields: Semiclassical Amplitudes and Phase Coherence Times},
author={T. S. Monteiro and D. Saraga},
journal={Foundations of Physics},
year={2001},
volume={31},
pages={355-370}
}
• Published 2001
• Physics
• Foundations of Physics
Experiments on quantum wells in tilted fields have stimulated several groups to investigate semiclassical theories for the current fluctuations. As a result, there is now a sort of “Zoo” of different types of trajectories (Periodic Orbits, Normal Orbits, Central Closed Orbits, Ghost Periodic Orbits, Saddle Orbits, Minimal Orbits) which have all been used to analyse these experimental spectra. Here we review briefly the semiclassical descriptions for this system and discuss which types of… Expand
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#### References

SHOWING 1-10 OF 18 REFERENCES
PERIODIC ORBIT THEORY FOR RESONANT TUNNELING DIODES : COMPARISON WITH QUANTUM AND EXPERIMENTAL RESULTS
• Physics
• 1998
We investigate whether the quantal and experimental amplitudes of current oscillations of resonant tunneling diodes in tilted fields are obtainable from periodic orbit ~PO! theories by consideringExpand
Observation of 'scarred' wavefunctions in a quantum well with chaotic electron dynamics
• Physics
• Nature
• 1996
QUALITATIVE insight into the properties of a quantum-mechanical system can be gained from the study of the relationship between the system's classical newtonian dynamics, and its quantum dynamics asExpand
QUANTUM CHAOS WITH NONPERIODIC, COMPLEX ORBITS IN THE RESONANT TUNNELING DIODE
• Physics
• 1998
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 DiodeExpand
Quantum chaos in quantum wells
• Physics
• 1999
Abstract We develop a quantitative semiclassical theory for the resonant tunneling through a quantum well in a tilted magnetic field. We show, that in the leading semiclassical approximation theExpand
CHAOS IN QUANTUM DOTS : DYNAMICAL MODULATION OF COULOMB BLOCKADE PEAK HEIGHTS
• Physics
• 1999
The electrostatic energy of an additional electron on a conducting grain blocks the flow of current through the grain, an effect known as the Coulomb blockade. Current can flow only if two chargeExpand
ORIGIN OF STRONG SCARRING OF WAVE FUNCTIONS IN QUANTUM WELLS IN A TILTED MAGNETIC FIELD
• Physics
• 1998
The anomalously strong scarring of wavefunctions found in numerical studies of quantum wells in a tilted magnetic field is shown to be due to special properties of the classical dynamics of thisExpand
Semiclassical Theory of Magnetotransport through a Chaotic Quantum Well
• Physics
• 1998
We develop a quantitative semiclassical formula for the resonant tunneling current through a quantum well in a tilted magnetic field. It is shown that the current depends only on periodic orbitsExpand
Chaotic Landau level mixing in classical and quantum wells.
• Physics, Medicine
• Physical review letters
• 1995
A nonlinear map is derived for the classical system which gives analytic conditions for the occurrence of a chaotic energy exchange between the cyclotron and longitudinal motion as a function of $\ensuremath{\theta}$ and other system parameters. Expand
Semiclassical matrix elements from periodic orbits.
• Physics, Medicine
• Physical review. A, Atomic, molecular, and optical physics
• 1992
An extension of Gutzwiller's semiclassical theory for chaotic systems that allows a determination of matrix elements in terms of classical periodic orbits that is in good agreement with Fourier transforms of quantum spectra of hydrogen in a magnetic field. Expand
Semiclassical photodissociation cross section for
• Physics
• 1997
We investigate semiclassically the photodissociation of water in the first absorption band. Experimental absorption spectra show weak undulatory structures, which are related to the vibrationalExpand