Quantum chaos driven by long-range waveguide-mediated interactions

Classification of three-photon states in waveguide quantum electrodynamics

“…This is in contrast to similar studies on atomphoton bound states, where the photon is bound to a lattice site [34,35]. In this paper, we extend previous exotic effects in waveguide QED such as fermionisation [5], localisation [8], bound pairs [7] and chaos [10] to threephoton systems for the first time and also predict novel quantum states, requiring at least three photons.…”

“…The chaotic state cannot be decomposed into a few single particle states [10]. It is characterised by a highly irregular wave-function in real space and high entanglement entropy which supports the notion that it is comprised of many entangled single-particle states.…”

“…It is characterised by a highly irregular wave-function in real space and high entanglement entropy which supports the notion that it is comprised of many entangled single-particle states. Recently, a study on analogous states in two-photon systems [10] shows that they cannot be described using the Bethe ansatz. This suggests that the problem is non-integrable and exhibits quantum chaos.…”

“…Such systems exhibit collective radiative decay (Dicke super-and subradiance [4]) as well as exotic phenomena unique to the waveguide platform. This includes the fermionisation of subradiant states [5,6], bound dimer pairs [7] interaction-induced localisation [8], self-induced topological phases [9] and quantum chaos [10]. The important ingredient behind these interesting phenomena is the long-range coupling between atoms found in waveguide QED.…”