Feedback Control of Waiting Times

Abstract

Feedback loops are known as a versatile tool for controlling transport in small systems, which usually have large intrinsic fluctuations. Here we investigate the control of a temporal correlation function, the waiting time distribution, under active and passive feedback conditions. We develop a general formalism and then specify to the simple unidirectional transport model, where we compare costs of open loop and feedback control and use methods from optimal control theory to optimize waiting time distributions.

15 pages, 6 figures. Minor corrections, new Fig 5a, additional reference. Accepted for publication in Phys. Rev. E

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• First Passage Times for Continuous Quantum Measurement Currents
• Jumptime unraveling of Markovian open quantum systems
• Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes
• Probing Majorana and Andreev Bound States with Waiting Times
• Quantum theory of an electron waiting time clock
• Information Loss Pathways in a Numerically Exact Simulation of a non-Markovian Open Quantum System
• Dressed Quantum Trajectories: Novel Approach to the non-Markovian Dynamics of Open Quantum Systems on a Wide Time Scale
• Waiting time statistics for a double quantum dot coupled with an optical cavity