Delayed feedback control in quantum transport

C. Emary
2013 Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences  
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
more » ... k-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.
doi:10.1098/rsta.2012.0468 pmid:23960226 fatcat:2jbh5pwffvdsvdksprxg3gycei