73 citations · 359 across the 19 of their papers we have counts for
20 papers
Theory of Convective Diffusion
Žiga Krajnik, Takato Yoshimura, Alvise Bastianello +1
We obtain a hydrodynamic theory of diffusive-scale dynamics in one-dimensional systems with interacting sound modes in the absence of self-interactions. Chaotic systems generically…
Anomalous hydrodynamic fluctuations in the quantum XXZ spin chain
Takato Yoshimura, Žiga Krajnik, Alvise Bastianello +1
The quantum XXZ spin-1/2 chain features non-Gaussian spin current fluctuations in the regime of easy-axis anisotropy. Using ballistic macroscopic fluctuation theory, we derive the…
Universality in driven systems with a multiply-degenerate umbilic point
Johannes Schmidt, Žiga Krajnik, Vladislav Popkov
We investigate a driven particle system, a multilane asymmetric exclusion process, where the particle number in every lane is conserved, and stationary state is fully uncorrelated.…
Hydrodynamic fluctuations of stochastic charged cellular automata
Takato Yoshimura, Žiga Krajnik
We study charge fluctuations of a family of stochastic charged cellular automata away from the deterministic single-file limit and obtain the exact typical charge probability distr…
Universality in many-body driven systems with an umbilic point
Johannes Schmidt, Žiga Krajnik, Vladislav Popkov
We study stationary fluctuations of conserved slow modes in a two-lane model of hardcore particles which are expected to show universal behaviour. Specifically, we focus on the pro…
Fluctuations of stochastic charged cellular automata
Žiga Krajnik, Katja Klobas, Bruno Bertini +1
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon c…
Integrable fishnet circuits and Brownian solitons
Žiga Krajnik, Enej Ilievski, Tomaž Prosen +2
We introduce classical many-body dynamics on a one-dimensional lattice comprising local two-body maps arranged on discrete space-time mesh that serve as discretizations of Hamilton…
Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
Angelo Valli, Cătălin Paşcu Moca, Miklós Antal Werner +4
We propose a numerical method to efficiently compute quantum generating functions (QGF) for a wide class of observables in one-dimensional quantum systems at high temperature. We o…
Anomalous current fluctuations from Euler hydrodynamics
Takato Yoshimura, Žiga Krajnik
We consider the hydrodynamic origin of anomalous current fluctuations in a family of stochastic charged cellular automata. Using ballistic macroscopic fluctuation theory, we study…
Quantum many-body spin ratchets
Lenart Zadnik, Marko Ljubotina, Žiga Krajnik +2
Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin tra…
Landau-Lifschitz magnets: exact thermodynamics and transport
Alvise Bastianello, Žiga Krajnik, Enej Ilievski
The classical Landau--Lifshitz equation -- the simplest model of a ferromagnet -- provides an archetypal example for studying transport phenomena. In one-spatial dimension, integra…
Single-file dynamics with general charge measures
Žiga Krajnik
We study charge fluctuations in single-file dynamics with general charge measures. The exact finite-time distribution of charge fluctuations is obtained in terms of a dressing tran…
Dynamical criticality of magnetization transfer in integrable spin chains
Žiga Krajnik, Johannes Schmidt, Enej Ilievski +1
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 countin…
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…
Absence of Normal Fluctuations in an Integrable Magnet
Žiga Krajnik, Enej Ilievski, Tomaž Prosen
We investigate dynamical fluctuations of transferred magnetization in the one-dimensional lattice Landau--Lifshitz magnet with uniaxial anisotropy, representing an emblematic model…
Anisotropic Landau-Lifshitz Model in Discrete Space-Time
Žiga Krajnik, Enej Ilievski, Tomaž Prosen +1
We construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet wit…
Undular diffusion in nonlinear sigma models
Žiga Krajnik, Enej Ilievski, Tomaž Prosen
We discuss general features of charge transport in non-relativistic classical field theories invariant under non-abelian unitary Lie groups by examining the full structure of two-p…
Integrable Matrix Models in Discrete Space-Time
Žiga Krajnik, Enej Ilievski, Tomaž Prosen
We introduce a class of integrable dynamical systems of interacting classical matrix-valued fields propagating on a discrete space-time lattice, realized as many-body circuits buil…
Spectral energy analysis of bulk three-dimensional active nematic turbulence
Žiga Krajnik, Žiga Kos, Miha Ravnik
We perform energy spectrum analysis of the active turbulence in 3D bulk active nematic using continuum numerical modelling. Specifically, we calculate the spectra of two main energ…
Kardar-Parisi-Zhang physics in integrable rotationally symmetric dynamics on discrete space-time lattice
Ziga Krajnik, Tomaz Prosen
We introduce a deterministic SO(3) invariant dynamics of classical spins on a discrete space-time lattice and prove its complete integrability by explicitly finding a related non-c…