Large deviation full counting statistics in adiabatic open quantum dynamics
The state of an open quantum system undergoing an adiabatic process evolves by following
the instantaneous stationary state of its time-dependent generator. This observation allows …
the instantaneous stationary state of its time-dependent generator. This observation allows …
Mathematical, thermodynamical, and experimental necessity for coarse graining empirical densities and currents in continuous space
We present general results on fluctuations and spatial correlations of the coarse-grained
empirical density and current of Markovian diffusion in equilibrium or nonequilibrium steady …
empirical density and current of Markovian diffusion in equilibrium or nonequilibrium steady …
Spectral signatures of symmetry-breaking dynamical phase transitions
Large deviation theory provides the framework to study the probability of rare fluctuations of
time-averaged observables, opening new avenues of research in nonequilibrium physics …
time-averaged observables, opening new avenues of research in nonequilibrium physics …
Finding the effective dynamics to make rare events typical in chaotic maps
R Gutiérrez, A Canella-Ortiz, C Pérez-Espigares - Physical Review Letters, 2023 - APS
Dynamical fluctuations or rare events associated with atypical trajectories in chaotic maps
due to specific initial conditions can crucially determine their fate, as the may lead to stability …
due to specific initial conditions can crucially determine their fate, as the may lead to stability …
Symmetry-induced fluctuation relations in open quantum systems
We derive a general scheme to obtain quantum fluctuation relations for dynamical
observables in open quantum systems. For concreteness, we consider Markovian …
observables in open quantum systems. For concreteness, we consider Markovian …
Moments and First-Passage Time of a Random Process for General Upper Bounds on Fluctuations of Trajectory Observables
VV Ryazanov - arxiv preprint arxiv:2401.10920, 2024 - arxiv.org
General upper bounds on fluctuations of trajectory observables were recently obtained. It
turned out that the size of fluctuations of dynamical observable is limited from below and …
turned out that the size of fluctuations of dynamical observable is limited from below and …
Rare events, time crystals and symmetry-breaking dynamical phase transitions
R Hurtado-Gutiérrez - arxiv preprint arxiv:2404.04135, 2024 - arxiv.org
In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase
transitions that manifest in the fluctuations of time-integrated observables within classical …
transitions that manifest in the fluctuations of time-integrated observables within classical …
Non-equilibrium Statistical Mechanics Studied Through the Lens of Stochastic Calculus
CV Dieball - 2024 - ediss.uni-goettingen.de
The microscopic world of atoms and molecules is continuously in motion, which is
manifested on the macroscopic scale as a non-zero temperature. Due to collisions with …
manifested on the macroscopic scale as a non-zero temperature. Due to collisions with …