Theory and experiments for disordered elastic manifolds, depinning, avalanches, and sandpiles

KJ Wiese - Reports on Progress in Physics, 2022‏ - iopscience.iop.org
Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

Directed polymers in a random environment: a review of the phase transitions

N Zygouras - Stochastic Processes and their Applications, 2024‏ - Elsevier
The model of directed polymer in a random environment is a fundamental model of
interaction between a simple random walk and ambient disorder. This interaction gives rise …

KPZ reloaded

M Gubinelli, N Perkowski - Communications in Mathematical Physics, 2017‏ - Springer
We analyze the one-dimensional periodic Kardar–Parisi–Zhang equation in the language of
paracontrolled distributions, giving an alternative viewpoint on the seminal results of Hairer …

An appetizer to modern developments on the Kardar–Parisi–Zhang universality class

KA Takeuchi - Physica A: Statistical Mechanics and its Applications, 2018‏ - Elsevier
Abstract The Kardar–Parisi–Zhang (KPZ) universality class describes a broad range of non-
equilibrium fluctuations, including those of growing interfaces, directed polymers and …

The critical 2d stochastic heat flow

F Caravenna, R Sun, N Zygouras - Inventiones mathematicae, 2023‏ - Springer
We consider directed polymers in random environment in the critical dimension d= 2,
focusing on the intermediate disorder regime when the model undergoes a phase transition …

Dynamical criticality of magnetization transfer in integrable spin chains

Ž Krajnik, J Schmidt, E Ilievski, T Prosen - Physical review letters, 2024‏ - APS
Recent studies have found that fluctuations of magnetization transfer in integrable spin
chains violate the central limit property. Here, we revisit the problem of anomalous counting …

Scaling limit of the colored ASEP and stochastic six-vertex models

A Aggarwal, I Corwin, M Hegde - arxiv preprint arxiv:2403.01341, 2024‏ - arxiv.org
We consider the colored asymmetric simple exclusion process (ASEP) and stochastic six
vertex (S6V) model with fully packed initial conditions; the states of these models can be …

Universal Kardar-Parisi-Zhang scaling in noisy hybrid quantum circuits

S Liu, MR Li, SX Zhang, SK Jian, H Yao - Physical Review B, 2023‏ - APS
Measurement-induced phase transitions (MIPTs) have attracted increasing attention due to
the rich phenomenology of entanglement structures and their relation with quantum …

Universal spin dynamics in infinite-temperature one-dimensional quantum magnets

M Dupont, JE Moore - Physical Review B, 2020‏ - APS
We address the nature of spin dynamics in various integrable and nonintegrable, isotropic
and anisotropic quantum spin-S chains, beyond the paradigmatic S= 1/2 Heisenberg model …

Superdiffusion from emergent classical solitons in quantum spin chains

J De Nardis, S Gopalakrishnan, E Ilievski, R Vasseur - Physical review letters, 2020‏ - APS
Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be
superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality …