Classical-to-quantum transition of exceptional points induced by thermal noise

We study multiple effects of thermal noise on both the classical and quantum exceptional points in the experimental driven three-level system of Ref. [1]. In particular, we show that only in the absence of thermal noise the classical and quantum predictions are the same concerning exceptional points of non-Hermitian Hamiltonians and Liouvillians [2,3], respectively. Thus, thermal noise can induce a classical-to-quantum transition of exceptional points. This is a surprising result since thermal noise usually causes the opposite effect, i.e., a quantum-to-classical transition.

[1] M. Abbasi, Y. N. Joglekar, K. W. Murch, Nat. Phys. 15, 1232 (2019).
[2] F. Minganti, A. Miranowicz, R. W. Chhajlany, F. Nori, Phys. Rev. A 100, 062131 (2019).
[3] F. Minganti, A. Miranowicz, R. W. Chhajlany, I. I. Arkhipov, F. Nori, Phys. Rev. A 101, 062112 (2020).