title: Braid group and topological phase transitions in nonequilibrium stochastic dynamics.
abstract: We show that distinct topological phases of the band structure of a non-Hermitian Hamiltonian can be classified with elements of the braid group. As the proof of principle, we consider the non-Hermitian evolution of the statistics of nonequilibrium stochastic currents. We show that topologically nontrivial phases have detectable properties, including the emergence of decaying oscillations of parity and state probabilities, and discontinuities in the steady state statistics of currents.
authors.affiliation: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA. renjie@lanl.gov
authors.forename: Jie
authors.initials: J
authors.lastname: Ren
authors.forename: N A
authors.initials: NA
authors.lastname: Sinitsyn
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D009991:Oscillometry / Q000379:methods*; D044367:Phase Transition; D013269:Stochastic Processes