Photonic Chiral State Transfer near the Liouvillian Exceptional Point

As branch-point singularities of non-Hermitian matrices, the exceptional points (EPs) exhibit unique spectral topology and criticality, with intriguing dynamic consequences in non-Hermitian settings. In quantum open systems, EPs also emerge in the Liouvillian spectrum, but their dynamic impact often pertains to the transient dynamics and is challenging to demonstrate. Here, using the flexible control afforded by single-photon interferometry, we study the chiral state transfer when the Liouvillian EP is parametrically encircled. Reconstructing the density-matrix evolution by experimentally simulating the quantum Langevin equation, we show that the chirality of the dynamics is only present within an intermediate encircling timescale and dictated by the landscape of the Liouvillian spectrum near the EP. However, the chirality disappears at long times as the system always relaxes to the steady state. We then demonstrate the power-law decay of the chirality in regard to the encircling time with a parameter-dependent exponent. Our experiment confirms the transient nature of chiral state transfer near a Liouvillian EP in quantum open systems, while our scheme paves the way for simulating general open-system dynamics using single photons.