arXiv subjects

Miklós Horváth

Publications and source records attributed to Miklós Horváth.

3 recordsLinked to original sources

arXiv2025

Survival and Detection of Symmetry-Protected Topology in Loop Quenches

We explore a class of dynamical protocols - that we term loop quenches - which are tailored for the study of symmetry-protected topological (SPT) systems. In loop quenches, SPT phases can survive even out of equilibrium, thus evading the dynamical violation of their protecting symmetry. Moreover, we demonstrate that employing loop quenches allows to detect the equilibrium topology via measurable dynamical quantities. Focusing on chiral-SPT phases, we introduce the Loschmidt chirality amplitude as a key observable that encodes the equilibrium topological invariant. We exemplify our method for chiral-symmetric one-dimensional two-band insulators and propose a pump-probe measurement scheme which allows to extract the amplitude in question. Our protocol uncovers a direct dynamical signature of SPT phases and, most importantly, paves the way for a general diagnostic framework that can be extended to other symmetry classes and dimensions.

cond-mat.mes-hall↗

arXiv2024

Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium

The time evolution of topological systems is an active area of interest due to their expected applications in fault-tolerant quantum computing. Here, we analyze the dynamics of a noninteracting spinless fermion chain in its topological phase, quenched out of equilibrium by a Hamiltonian belonging to the same symmetry class. Due to particle-hole symmetry, the bulk properties of the system remain intact throughout its evolution. However, the boundary properties may be drastically altered, with the initially localized Majorana edge modes extending across the chain. Up to a timescale $t^*$, identified by area-law behavior of the entanglement entropy, these extended edge modes are an example of exotic effects in topological systems out of equilibrium. Further, while local disorder can be utilized to preserve localization and increase $t^*$, we still identify nontrivial dynamics in the Majorana polarization and Loschmidt echo.

cond-mat.str-el↗

arXiv2016

Statistical and Thermodynamical Studies of the Strongly Interacting Matter

In this thesis we discuss three separate analysis of various phenomenological aspects of heavy-ion collisions (HIC). The first one is a possible generalization of the kinetic theory framework for dense systems. We investigate its long-time behaviour and the properties of the equilibrium. The second discussion is about the phenomenological analysis of the azimuthal asymmetry of the particle yields in a HIC, where we link the initial stage geometrical asymmetry to the particle yields and examine the possible organizing mechanisms that could be responsible for such a relation. The third, and also the most thorough part of the thesis is about the relation of the spectral density of quasi-particle states and the macroscopic fluidity measure (the ratio of shear viscosity and the entropy density) and other transport properties of the system. We extensively study the liquid-gas crossover with the help of model spectral functions. The main conclusion is that the relative intensification of the continuum of the scattering states compared to the quasi-particle peak makes the matter more fluent.

hep-ph↗