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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Delayed feedback control in quantum transport.

¹Department of Physics and Mathematics, University of Hull, Hull HU6 7RX, UK. c.emary@hull.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|August 21, 2013

Summary

Introducing a delay in quantum transport feedback control affects quantum state stabilization and Maxwell's daemon. This delay can also probe electron oscillations and model detector bandwidth limitations.

Keywords:

delay feedback control quantum dots quantum transport

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Area of Science:

Quantum physics
Quantum transport phenomena
Statistical mechanics

Background:

Feedback control in quantum transport can lead to quantum state stabilization and Maxwell's daemon.
Previous studies assumed instantaneous control operations after measurement.

Purpose of the Study:

To incorporate a delay between detection and control operations into the master equation theory of feedback-controlled quantum transport.
To investigate the impact of this delay on quantum state stabilization and Maxwell's daemon.
To explore the use of delay as a tool for probing coherent electron oscillations and modeling finite detector bandwidth.

Main Methods:

Master equation theory
Theoretical modeling of quantum transport systems
Analysis of feedback control mechanisms with time delays

Main Results:

The inclusion of a delay modifies the outcomes of quantum state stabilization and Maxwell's daemon schemes.
Time delay can serve as a method to observe coherent oscillations of electrons.
The formalism allows for the modeling of finite detector bandwidth effects in quantum transport.

Conclusions:

Time delays are a crucial factor in feedback-controlled quantum transport, influencing established theoretical predictions.
Delay offers novel experimental and theoretical avenues for exploring quantum phenomena and system limitations.