Szabolcs Vajna

TL;DR: In this paper, it was shown that topology-changing quenches are always followed by nonanalytical temporal behavior of return rates (logarithm of the Loschmidt echo), referred to as dynamical phase transitions (DPTs) in the literature.

TL;DR: In this paper, Heyl et al. showed that the dynamical free energy on the real time axis does not indicate the presence or absence of an EPT in the transverse field Ising model.

TL;DR: In this paper, the authors give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems, and argue that even in the stable high-frequency regimes, FAPT breaks down at ultra slow ramp rates due to avoided crossings of photon resonances, not captured by the inverse-frequency expansion, leading to a counter-intuitive stronger heating at slower ramp rates.

TL;DR: In this paper, the authors give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems, and argue that even in the stable high-frequency regimes, FAPT breaks down at ultra slow ramp rates due to avoided crossings of photon resonances, not captured by the inverse-frequency expansion, leading to a counter-intuitive stronger heating at slower ramp rates.

TL;DR: In this article, the authors investigated the flat band in the presence of disorder by focusing on the density of states (DOS) and dc conductivity and showed that the dc conductivities diverged with decreasing disorder due to interband transitions around the band touching point between the propagating and the flat bands.