Delayed feedback control in quantum transport
arXiv:1207.2910 · doi:10.1098/rsta.2012.0468
Abstract
Feedback control in quantum transport has been predicted to give rise to several interesting effects, amongst them quantum state stabilisation and the realisation of a mesoscopic Maxwell's daemon. These results were derived under the assumption that control operations on the system be affected instantaneously after the measurement of electronic jumps through it. In this contribution I describe how to include a delay between detection and control operation in the master equation theory of feedback-controlled quantum transport. I investigate the consequences of delay for the state-stabilisation and Maxwell's-daemon schemes. Furthermore, I describe how delay can be used as a tool to probe coherent oscillations of electrons within a transport system and how this formalism can be used to model finite detector bandwidth.
13 pages, 5 figures
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- Enhancement of mobility in an interacting colloidal system under feedback control
- Coherent feedback control in quantum transport
- Feedback Network Models for Quantum Transport
- Feedback Control of Waiting Times
- How small can Maxwell's demon be? -- Lessons from autonomous electronic feedback models
- Feedback-charging a metallic island