Rapid Steady State Convergence for Quantum Systems Using Time-Delayed Feedback Control

Abstract

We propose a time-delayed feedback control scheme for open quantum systems that can dramatically reduce the time to reach steady state. No measurement is performed in the feedback loop, and we suggest a simple all-optical implementation for a cavity QED system. We demonstrate the potential of the scheme by applying it to a driven and dissipative Dicke model, as recently realized in a quantum gas experiment. The time to reach steady state can then reduced by two orders of magnitude for parameters taken from experiment, making previously inaccessible long time attractors reachable within typical experimental run times. The scheme also offers the possibility of slowing down the dynamics, as well as qualitatively changing the phase diagram of the corresponding physical system.

25 pages, 9 figures. Invited paper in "Focus on Coherent Control of Complex Quantum Systems", Eds. B. Whaley and G. Milburn. PS: Preview on OSX struggles with opening some of the figures with a lot of data in them

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Cited by in corpus (20)

• Time-delayed quantum feedback control
• Enhanced optical squeezing from a degenerate parametric amplifier via time-delayed coherent feedback
• Analytical Study of Quantum Feedback Enhanced Rabi Oscillations
• Continuous feedback on a quantum gas coupled to an optical cavity
• Dissipative Two-Mode Tavis-Cummings Model with Time-Delayed Feedback Control
• Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition
• Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model
• Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
• Quantum state engineering in hybrid open quantum systems
• Time-delayed quantum coherent Pyragas feedback control of photon squeezing in a degenerate parametric oscillator
• Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
• Stabilizing quantum coherence against pure dephasing in the presence of quantum feedback at finite temperature
• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Robust quantum correlations in out-of-equilibrium matter-light systems
• Feedback Control of Waiting Times
• Cavityless self-organization of ultracold atoms due to the feedback-induced phase transition
• A quantum optical realization of the Ornstein-Uhlenbeck process via simultaneous action of white noise and feedback
• Quantum stabilization of a single-photon emitter in a coupled microcavity--half-cavity system
• Measurement-feedback control of chiral photon emission from an atom chain into a nanofiber
• Preparing Quantum States by Measurement-feedback Control with Bayesian Optimization