Topological phase transitions in stochastic models

Edward Jang

Non-Hermitian Hamiltonian generally appear in both quantum and classical open systems, once the couplings to external environments and dissipations are involved. A Markovian stochastic transport of particles between 2 reservoirs through an intermediate bin is a great example of non-Hermitian Hamiltonian. Studying and replicating the results in previous paper about this example was our primary objective, in order to better understand how topological phase transitions happen and potential insights we can glean for applying LC method.




Ovidiu Lipan