activity
20152025
most citedQuasilocal charges in integrable lattice systems

330 citations · 932 across the 19 of their papers we have counts for

collaborators

19 papers

cond-mat.stat-mech2025

Superdiffusion and anomalous fluctuations in chiral integrable dynamics

Cristiano Muzzi, Devendra Singh Bhakuni, Marcello Dalmonte +2

Symmetries strongly influence transport properties of quantum many-body systems, and can lead to deviations from the generic case of diffusion. In this work, we study the impact of…

cond-mat.stat-mech2025★ 1 cited

Slow dynamics from a nested hierarchy of frozen states

Vanja Marić, Luka Paljk, Lenart Zadnik

We identify the mechanism of slow heterogeneous relaxation in quantum kinetically constrained models (KCMs) in which the potential energy strength is controlled by a coupling param…

cond-mat.stat-mech2025★ 4 cited

Integrability and charge transport in asymmetric quantum-circuit geometries

Chiara Paletta, Urban Duh, Balázs Pozsgay +1

We revisit the integrability of quantum circuits constructed from two-qubit unitary gates that satisfy the Yang-Baxter equation. A brickwork arrangement of typically corres…

quant-ph2024★ 7 cited

Integrability is generic in homogeneous U(1)-invariant nearest-neighbor qubit circuits

Marko Znidaric, Urban Duh, Lenart Zadnik

Integrability is an exceptional property believed to hold only for systems with fine-tuned parameters. Contrary, we explicitly show that in homogeneous nearest-neighbor qubit circu…

cond-mat.stat-mech2024★ 8 cited

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…

cond-mat.stat-mech2023

Slow heterogeneous relaxation due to constraints in dual XXZ models

Lenart Zadnik, Juan P. Garrahan

With the aim to understand the role of the constraints in the thermalisation of quantum systems, we study the dynamics of a family of kinetically constrained models arising through…

cond-mat.stat-mech2022★ 10 cited

Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles

Maurizio Fagotti, Vanja Marić, Lenart Zadnik

We consider nonequilibrium time evolution in quantum spin chains after a global quench. Usually a nonequilibium quantum many-body system locally relaxes to a (generalised) Gibbs en…

quant-ph2021★ 15 cited

Measurement catastrophe and ballistic spread of charge density with vanishing current

Lenart Zadnik, Saverio Bocini, Kemal Bidzhiev +1

One of the features of many-body quantum systems with Hilbert-space fragmentation is the existence of stationary states manifesting quantum jamming. It was recently shown that thes…

cond-mat.stat-mech2021★ 17 cited

Macroscopic effects of localised measurements in jammed states of quantum spin chains

Kemal Bidzhiev, Maurizio Fagotti, Lenart Zadnik

A quantum jammed state can be seen as a state where the phase space available to particles shrinks to zero, an interpretation quite accurate in integrable systems, where stable qua…

cond-mat.stat-mech2020★ 57 cited

The Folded Spin-1/2 XXZ Model: II. Thermodynamics and Hydrodynamics with a Minimal Set of Charges

Lenart Zadnik, Kemal Bidzhiev, Maurizio Fagotti

We study the (dual) folded spin-1/2 XXZ model in the thermodynamic limit. We focus, in particular, on a class of local macrostates that includes Gibbs ensembles. We develop a therm…

cond-mat.stat-mech2020★ 85 cited

The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

Lenart Zadnik, Maurizio Fagotti

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it descr…

cond-mat.stat-mech2020★ 33 cited

Rigorous bounds on dynamical response functions and time-translation symmetry breaking

Marko Medenjak, Tomaz Prosen, Lenart Zadnik

Dynamical response functions are standard tools for probing local physics near the equilibrium. They provide information about relaxation properties after the equilibrium state is…

cond-mat.stat-mech2019★ 46 cited

Exact nonequilibrium steady state of open XXZ/XYZ spin-1/2 chain with Dirichlet boundary conditions

Vladislav Popkov, Tomaž Prosen, Lenart Zadnik

We investigate a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, described by Lindblad master equation. The nonequilibrium steady state is expresse…

cond-mat.stat-mech2019

Inhomogeneous MPA and exact steady states of boundary driven spin chains at large dissipation

Vladislav Popkov, Tomaž Prosen, Lenart Zadnik

We find novel site-dependent Lax operators in terms of which we demonstrate exact solvability of a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation,…

cond-mat.stat-mech2019★ 122 cited

Ballistic spin transport in a periodically driven integrable quantum system

Marko Ljubotina, Lenart Zadnik, Tomaž Prosen

We demonstrate ballistic spin transport of an integrable unitary quantum circuit, which can be understood either as a paradigm of an integrable periodically driven (Floquet) spin c…

cond-mat.stat-mech2017★ 137 cited

Integrable Trotterization: Local Conservation Laws and Boundary Driving

Matthieu Vanicat, Lenart Zadnik, Tomaž Prosen

We discuss a general procedure to construct an integrable real-time trotterization of interacting lattice models. As an illustrative example we consider a spin- chain, with co…

math-ph2016★ 3 cited

Quasilocal Conservation Laws in the Quantum Hirota Model

Lenart Zadnik, Tomaz Prosen

Extensivity of conservation laws of the quantum Hirota model on a dimensional lattice is considered. This model can be interpreted in terms of an integrable many-body quantum…

cond-mat.stat-mech2016★ 330 cited

Quasilocal charges in integrable lattice systems

Enej Ilievski, Marko Medenjak, Tomaz Prosen +1

We review recent progress in understanding the notion of locality in integrable quantum lattice systems. The central concept are the so-called quasilocal conserved quantities, whic…

math-ph2015★ 57 cited

Quasilocal conservation laws from semicyclic irreducible representations of in spin- chains

Lenart Zadnik, Marko Medenjak, Tomaz Prosen

We construct quasilocal conserved charges in the gapless () regime of the Heisenberg spin- chain, using semicyclic irreducible representations of $U_q(\mathfr…