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The gaps separating two different states widely exist in various physicalsystems: from the electrons in periodic lattices to the analogs in photonic,phononic, plasmonic systems, and even quasicrystals. Recently, a thermalizationgap, an inaccessible range of photon statistics, was proposed for light indisordered structures [Nat. Phys. 11, 930 (2015)], which is intrinsicallyinduced by the disorder-immune chiral symmetry and can be reflected by thephoton statistics. The lattice topology was further identified as a decisiverole in determining the photon statistics when the chiral symmetry issatisfied. Being very distinct from one-dimensional lattices, the photonstatistics in ring lattices are dictated by its parity, i.e, odd or even sited.Here, we for the first time experimentally observe a parity-inducedthermalization gap in strongly disordered ring photonic structures. In alimited scale, though the light tends to be localized, we are still able tofind clear evidence of the parity-dependent disorder-immune chiral symmetry andthe resulting thermalization gap by measuring photon statistics, while strongdisorder-induced Anderson localization overwhelms such a phenomenon inlarger-scale structures. Our results shed new light on the relation amongsymmetry, disorder, and localization, and may inspire new resources andartificial devices for information processing and quantum control on a photonicchip.

Parity-Induced Thermalization Gap in Disordered Ring Lattices