Maraviglia, NicolaYard, PatrickWakefield, RossCarolan, JacquesSparrow, ChrisChakhmakhchyan, LevonHarrold, ChrisHashimoto, ToshikazuMatsuda, NobuyukiHarter, Andrew K.Joglekar, Yogesh N.Laing, Anthony2023-11-172023-11-172022-01-26Maraviglia, N., Yard, P., Wakefield, R., Carolan, J., Sparrow, C., Chakhmakhchyan, L., Harrold, C., Hashimoto, T., Matsuda, N., Harter, A. K., Joglekar, Y. N., & Laing, A. (2022). Photonic quantum simulations of coupled PT -symmetric Hamiltonians. Physical Review Research, 4(1). https://doi.org/10.1103/PhysRevResearch.4.013051https://hdl.handle.net/1805/37116Parity-time-symmetric (PT -symmetric) Hamiltonians are generally non-Hermitian and give rise to exotic behavior in quantum systems at exceptional points, where eigenvectors coalesce. The recent realization of PT -symmetric Hamiltonians in quantum systems has ignited efforts to simulate and investigate many-particle quantum systems across exceptional points. Here, we use a programmable integrated photonic chip to simulate a model composed of twin pairs of PT -symmetric Hamiltonians, with each the time reverse of its twin. We simulate quantum dynamics across exceptional points including two- and three-particle interference, and a particle-trembling behavior that arises due to interference between subsystems undergoing time-reversed evolutions. These results show how programmable quantum simulators can be used to investigate foundational questions in quantum mechanics.en-USAttribution 4.0 InternationalParity-time-symmetric Hamiltoniansquantum systemsexceptional pointsprogrammable integrated photonic chipArticle