Environment-assisted strong coupling regime

Timofey T. Sergeev1,2,3, Ivan V. Vovcenko2, Alexander A. Zyablovsky1,2,3,4, and Evgeny S. Andrianov1,2,3

1Dukhov Research Institute of Automatics (VNIIA), 22 Sushchevskaya, Moscow 127055, Russia
2Moscow Institute of Physics and Technology, 9 Institutskiy pereulok, Dolgoprudny 141700, Moscow region, Russia
3Institute for Theoretical and Applied Electromagnetics, 13 Izhorskaya, Moscow 125412, Russia
4Kotelnikov Institute of Radioengineering and Electronics RAS, 11-7 Mokhovaya, Moscow 125009, Russia

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Strong coupling regime takes place in open hybrid systems consisting of two or more physical subsystems when the coupling strength between subsystems exceeds the relaxation rate. The relaxation arises due to the interaction of the system with environment. For this reason, it is usually believed that the enhancement of the interaction with environment inevitably leads to a transition of the system from the strong to weak coupling regime. In this paper, we refute this common opinion. We demonstrate the interaction of the coupled system with environment induces an additional coupling between the subsystems that contribute to retention the system in the strong coupling regime. We show that the environmental-induced coupling strength is proportional to the product of the Rabi coupling strength by the gradient of the density of states of the reservoir. There is a critical Rabi coupling strength above which the environmental-induced coupling ensures that the system remains in the strong coupling regime at any relaxation rate. In this case, the strong coupling regime takes place even when the relaxation rate is significantly above the Rabi coupling strength between the subsystems. The critical coupling depends on the gradient of the reservoir density of states. We demonstrate that managing this gradient can serve as an additional tool to control the properties of the coupled systems.

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Achievement of strong coupling regime in open hybrid systems is an important problem for many applications in quantum physics and optics. Strong coupling regime realizes when a coupling strength between subsystems of a hybrid system exceeds rates of relaxation, which arises due to the interaction with environment. For this reason, it is usually believed the enhancement of the interaction with environment inevitably leads to a transition of the system from the strong to weak coupling regime. We refute this opinion and demonstrate that the interaction with an environment leads to an appearance of the additional coupling strength between subsystems that is proportional to the environmental density of states. There is a critical coupling strength above which the environmental-induced coupling ensures that the system is in the strong coupling regime at any relaxation rate. Thus, the environmental density of states is an additional parameter, which controls the properties of the open hybrid quantum systems.

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Cited by

[1] Timofey T. Sergeev, Alexander A. Zyablovsky, Evgeny S. Andrianov, and Yurii E. Lozovik, "Self-consistent description of relaxation processes in systems with ultra- and deep-strong coupling", Journal of the Optical Society of America B 40 11, 2743 (2023).

[2] T. T. Sergeev, A. A. Zyablovsky, E. S. Andrianov, and Yu. E. Lozovik, "Signature of exceptional point phase transition in Hermitian systems", Quantum 7, 982 (2023).

[3] I. V. Vovcenko, A. A. Zyablovsky, A. A. Pukhov, and E. S. Andrianov, "Energy transport induced by transition from the weak to the strong coupling regime between non-Hermitian optical systems", Journal of the Optical Society of America B 40 11, 2990 (2023).

[4] I. V. Vovchenko, A. A. Zyablovsky, A. A. Pukhov, and E. S. Andrianov, "Transient temperature dynamics of reservoirs connected through an open quantum system", Physical Review E 109 4, 044144 (2024).

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