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Quantum transport in an electron waveguide

A. M. Chang, Gregory L. Timp

Published Jan 1, 1987• 0 citations
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Approaches to quantum transport

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We study a cavity-photon-switched coherent electron transport in a symmetric double quantum waveguide. The waveguide system is weakly connected to two electron reservoirs, but strongly coupled to a single quantized photon cavity mode. A coupling window is placed between the waveguides to allow electron interference or inter-waveguide transport. The transient electron transport in the system is investigated using a quantum master equation. We present a cavity-photon tunable semiconductor quantum waveguide implementation of an inverter quantum gate, in which the output of the waveguide system may be selected via the selection of an appropriate photon number or “photon frequency” of the cavity. In addition, the importance of the photon polarization in the cavity, that is, either parallel or perpendicular to the direction of electron propagation in the waveguide system is demonstrated.
We have studied the quantum transport by nonadiabatic Aharonov-Casher phase in mesoscopic rings embedded in textured electric fields. The quantum transport of the electron is examined based on a one-dimensional quantum waveguide theory. Periodic behaviors of the transmission probability are found in the domain when the quantum phase approaches an adiabatic limit, whereas anomalous quantum transport is shown in the nonadiabatic domain. The difference between the angle of the spin and that of the electric field is found to determine the detailed characteristics of the nonadiabatic quantum phase and transport. The destructive pattern of the transmission probability is found to occur in accordance with the abrupt change of the persistent current in an isolated ring.