Boltzmann-Gibbs states in topological quantum walks: Fidelity analysis of Phase Transitions
Bruno Mera, Chrysoula Vlachou, Nikola Paunković, Vitor Rocha Vieira · arXiv (Cornell University) · 2016
We perform the fidelity analysis for Boltzmann-Gibbs-like states in order to investigate whether the topological order of one-dimensional fermionic systems at zero temperature is maintained at finite temperatures. We use quantum walk protocols that are known to simulate topological phases and the respective quantum phase transitions for chiral symmetric Hamiltonians. We show, by means of the fidelity analysis and the behaviour of edge states, that no thermal-like phase transitions occur as temperature increases, i. e., the topological behaviour is washed out gradually.