2000 character limit reached
Anderson localization transition in a robust $\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model (2010.09510v2)
Published 19 Oct 2020 in cond-mat.dis-nn, cond-mat.quant-gas, and quant-ph
Abstract: We study a generalized Aubry-Andre model that obeys $\mathcal{PT}$-symmetry. We observe a robust $\mathcal{PT}$-symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being non-hermitian. This robust $\mathcal{PT}$-symmetric phase can support an Anderson localization transition, giving a rich phase diagram as a result of the interplay between disorder and $\mathcal{PT}$-symmetry. Our model provides a perfect platform to study disorder-driven localization phenomena in a $\mathcal{PT}$-symmetric system.