3 papers
quant-ph2025
Transfer matrix approach to quantum systems subject to certain Lindblad evolution
Junaid Majeed Bhat, Marko Znidaric
Solving for the time evolution of a many particle system whose dynamics is governed by Lindblad equation is hard. We extend the use of the transfer matrix approach to a class of Li…
quant-ph2024
Momentum dependent quantum Ruelle-Pollicott resonances in translationally invariant many-body systems
Marko Znidaric
We study Ruelle-Pollicott resonances in translationally invariant quantum many-body lattice systems via spectra of a momentum-resolved operator propagator on infinite systems. Mome…
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…