Abstract

We present a Heisenberg-operator-based formulation of coherent quantum feedback and Pyragas control. This model is easy to implement and allows for an efficient and fast calculation of the dynamics of feedback-driven observables as the number of contributing correlations grows in systems with a fixed number of excitations only linearly in time. Furthermore, our model unravels the quantum kinetics of entanglement growth in the system by explicitly calculating non-Markovian multi-time correlations, e.g., how the emission of a photon is correlated with an absorption process in the past. Therefore, the time-delayed differential equations are expressed in terms of insightful physical quantities. Another considerable advantage of this method is its compatibility with typical approximation schemes, such as factorization techniques and the semi-classical treatment of coherent fields. This allows the application on a variety of setups, ranging from closed quantum systems in the few excitation regimes to open systems and Pyragas control in general.

© 2016 Optical Society of America

Effect of feedback control on the dynamics of quantum discord with and without the rotating-wave approximation

Jun-qing Cheng, Wei Wu, and Jing-bo Xu
J. Opt. Soc. Am. B 34(4) 701-708 (2017)

Noise-induced quantum correlations via quantum feedback control

Jie Song, Yan Xia, and Xiu-Dong Sun
J. Opt. Soc. Am. B 29(3) 268-273 (2012)

Dissipative preparation of three-atom entanglement state via quantum feedback control

Wen-Mei Sun, Shi-Lei Su, Zhao Jin, Yan Liang, Ai-Dong Zhu, Hong-Fu Wang, and Shou Zhang
J. Opt. Soc. Am. B 32(9) 1873-1880 (2015)

Entanglement dynamics of three atoms under quantum-jump-based feedback control

Li Chen, Hong-Fu Wang, and Shou Zhang
J. Opt. Soc. Am. B 30(3) 475-481 (2013)

Enhancement of quantum correlations in a cavity–magnon system with feedback control

SiYu Qin, XuanXuan Xin, ShiWen He, and Chong Li
J. Opt. Soc. Am. B 38(12) 3902-3909 (2021)