3 papers
math-ph2024
Boom and bust cycles due to pseudospectra of matrices with unimodular spectra
Junaid Majeed Bhat, Jaš Bensa, Marko Žnidarič
We discuss dynamics obtained by increasing powers of non-normal matrices that are roots of the identity, and therefore have all eigenvalues on the unit circle. Naively, one would e…
quant-ph2023
Arbitrary relaxation rate under non-Hermitian matrix iterations
Jaš Bensa
We study the exponential relaxation of observables, propagated with a non-Hermitian transfer matrix, an example being out-of-time-ordered correlations (OTOC) in brickwall (BW) rand…
quant-ph2021
Fastest local entanglement scrambler, multistage thermalization, and a non-Hermitian phantom
Jas Bensa, Marko Znidaric
We study random quantum circuits and their rate of producing bipartite entanglement, specifically with respect to the choice of 2-qubit gates and the order (protocol) in which thes…