496 citations · 3.2k across the 43 of their papers we have counts for
5 papers · 1 filter
Spin diffusion in perturbed isotropic Heisenberg spin chain
S. Nandy, Z. Lenarčič, E. Ilievski +3
The isotropic Heisenberg chain represents a particular case of an integrable many-body system exhibiting superdiffusive spin transport at finite temperatures. Here, we show that th…
Grokking phase transitions in learning local rules with gradient descent
Bojan Žunkovič, Enej Ilievski
We discuss two solvable grokking (generalisation beyond overfitting) models in a rule learning scenario. We show that grokking is a phase transition and find exact analytic express…
Popcorn Drude weights from quantum symmetry
Enej Ilievski
Integrable models provide emblematic examples of non-ergodic phenomena. One of their most distinguished properties are divergent zero-frequency conductivities signalled by finite D…
Universal anomalous fluctuations in charged single-file systems
Žiga Krajnik, Johannes Schmidt, Vincent Pasquier +2
Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freed…
Exact anomalous current fluctuations in a deterministic interacting model
Žiga Krajnik, Johannes Schmidt, Vincent Pasquier +2
We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment…