Lately, research have focused on non-Hermitian phenomena. Indeed, the effects of strong non-perturbative interactions are determined by the structure 19, 20, 21, 22, 23, 24 of the many-body Hilbert space, not the first-quantized single-particle description. A classic example is the appearance of anyonic quasiparticles in Fractional Quantum hall (FQH) systems, whose emergent statistics cannot be inferred from single-particle Chern topology alone 12, 13, 14, 15, 16, 17, 18. When many-body interactions dominate single-particle energetics, unexpected physics often emerge 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Non-Hermitian skin clusters originate from the fragmentation structure of the Hilbert space and may thus be of significant interest in modern many-body contexts such as the Eigenstate thermalization hypothesis (ETH) and quantum scars. As purely interacting phenomena, they fall outside the purview of generalized Brillouin zone analysis, although our effective lattice formulation provides alternative analytic and topological characterization. Distinct from non-Hermitian skin modes which accumulate at boundaries, our skin clusters are predominantly translation invariant particle clusters. Taking distinct forms as Vertex, Topological, Interface, Extended and Localized skin clusters, they generically originate from asymmetric correlated hoppings on a lattice, in the strongly interacting limit with quenched single-body energetics. Within the actively investigated domain of non-Hermitian physics, we provide a family of states known as non-Hermitian skin clusters. Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by emergent anyons from the Fractional Quantum hall effect.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |