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Rustem Sharipov (University of Ljubljana)15/06/2026, 10:30Talk
The reversible cellular automaton Rule 54 (RCA 54) exhibits striking signatures of integrability, including stable solitons and ballistic transport. Nevertheless, a systematic structural formulation of its integrability has remained elusive.
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In this talk, I discuss a new perspective on integrability in classical RCA 54. I introduce a mechanism of "integrability by projection", whereby... -
Mikhail Minin (Bergische Universität Wuppertal)15/06/2026, 12:30Talk
Dynamical two-point correlation functions are central objects in the study of quantum many-body systems. They encode the response to local perturbations, determine the transport coefficients, and in general provide the bridge between the microscopic quantum mechanical description and experimentally observable quantities. Obtaining their long-time, large-distance asymptotics for systems in...
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István Csépányi (Budapest University of Technology and Economics)15/06/2026, 15:00Talk
Quantum phase transitions are characterized by non-analytic changes in ground-state properties as a control parameter is varied. At non-zero temperature, however, thermal fluctuations smooth out these singularities in static observables, making direct signatures of quantum criticality difficult to access experimentally. In this talk, I will show that dynamical properties can retain clear...
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Saverio Rota (Università di Pavia)15/06/2026, 15:30Talk
We explore the integrability of the 1+1-dimensional massless Thirring Quantum Cellular Automaton, which describes the discrete-time evolution of fermionic modes on a lattice with local, number-preserving interactions. The interaction serves as a discrete-time analogue of those found in integrable Hamiltonian systems such as the Thirring and Hubbard models. Using the coordinate Bethe ansatz, we...
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Adam McRoberts (International Centre for Theoretical Physics)15/06/2026, 16:00Talk
We show that there are two distinct mechanisms that can cause the symmetry-restoration Mpemba effect in spin chains with \textit{weakly broken} integrability, such that the asymptotic equilibration is diffusive, but the lifetime of anomalously fast spin hydrodynamics at low temperature is parametrically large. In particular, we consider isotropic spin chains quenched out of equilibrium by...
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Apor Roth (Eötvös Loránd University)16/06/2026, 10:30Talk
We study the ultraviolet (UV) limit of finite-volume expectation values of vertex operators in the sine-Gordon model using the kink nonlinear integral equation (NLIE) description of the conformal limit.
By analysing the integrable formulation of vacuum expectation values, we conjecture an explicit analytic expression, given in terms of kink functions, for the leading asymptotic term in the...
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Patrik Penc (University of Oxford)16/06/2026, 12:30Talk
We consider a class of spinless-fermion Lindblad equations that exhibit decoupled BBGKY hierarchies. In the cases where particle number is conserved, their late time behaviour is characterized by diffusive dynamics, leading to an infinite temperature steady state. Some of these models are Yang-Baxter integrable, others are not. The simple structure of the BBGKY hierarchy makes it possible to...
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Riccardo Travaglino (SISSA)16/06/2026, 15:00Talk
Characterising the universal aspects of non-equilibrium quantum many-body dynamics is one of the key goals of contemporary research in quantum statistical physics. The progress in this direction is however complicated by the lack of general methods to study the dynamics of interacting quantum systems. In the talk I will discuss the recently introduced framework of space-time duality (SD),...
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Molly Gibbins (University of Nottingham)16/06/2026, 15:30Talk
The problem of closed, many-body quantum dynamics is, in general, an exceedingly difficult one. On the one hand, the entanglement entropy became recognised around the turn of the century as a suitable proxy for the relaxation of local subsystems in the closed many-body setting. On the other, the densities of quasiparticles have since become widely used to characterise the dynamics of local...
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Mizuki Yamaguchi (The University of Tokyo)16/06/2026, 16:00Talk
Quantum integrability is usually characterized from two perspectives. One is Yang-Baxter solvability, formulated in terms of an R-matrix satisfying the Yang-Baxter equation, or a transfer matrix constructed from it. The other is conservation laws, formulated in terms of infinitely many local conserved quantities commuting with the Hamiltonian.
From either viewpoint, however, it is...
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Istvan Vona (ELTE University, Wigner RCP)16/06/2026, 17:00Talk
In recent months, Large Language Models and AI agents built on them were used successfully to solve research-grade problems in pure mathematics and theoretical physics. It is tempting to assume that this technology may be very successful in performing calculations in our field, integrability. As a first step, we investigated the capabilities of an LLM to work out the Bethe Ansatz equations for...
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Pavel Orlov (University of Ljubljana)17/06/2026, 10:30Talk
Random matrix theory (RMT) is one of the main tools for studying quantum chaotic systems. Since quantum evolution is unitary, one can analyze the statistics of eigenvalues of the generators of unitary dynamics — for instance, energy-level statistics — and compare them with the corresponding RMT predictions.
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In this talk, I will argue that a similar approach can also be applied to classical... -
Christoph Obenaus (Instituto Superior Técnico)17/06/2026, 12:30Talk
We consider a multispecies extension of the asymmetric simple exclusion process with hierarchical dynamics and species-dependent hopping parameters. On an integrable submanifold of parameter space, we construct an explicit Yang–Baxter formulation for the tilded Markov generator. The underlying local structure is governed by a coloured 0-Hecke-type algebra, which provides the natural setting...
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Mr Juan Pablo Bayona Pena (University of Bologna)18/06/2026, 10:30Talk
We study transport dynamics of free fermions subject to the external monitoring of a conserved charge over an extensive region. Focusing on bipartition protocols, we consider monitoring the total particle number over half of the system, and study the profiles of local charges and currents at hydrodynamic scales. While the Lindbladian describing the averaged dynamics is non-local, we show that...
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Léonce Dupays (King's College London)18/06/2026, 12:30Talk
This talk describes recent advances on entanglement out-of-equilibrium.
In the first part, I will focus on symmetry-resolved entanglement, which describes how entanglement is distributed among the symmetry sectors of a system. In this context, charged moments of the reduced density matrix provide a natural starting point. I will show how these quantities can be studied using Ballistic...
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Ysla França Adans (Institute of Theoretical Physics — IFT/UNESP - Brazil)18/06/2026, 15:00Talk
In this work, we investigate how perturbations affect the statistical properties of an integrable model. Using integrable and quasi-integrable deformations generated via the Boost Operator, we numerically analyze indicators of integrability breaking, such as level spacing distributions and Krylov complexity, to characterize the onset of quantum chaos. We apply these methods to...
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Mr Adrien Escoubet (Université de Lille)18/06/2026, 15:30Talk
We study the defocusing nonlinear Schrödinger (dNLS) equation, an integrable nonlinear partial differential equation ubiquitous in physics. This equation with nonzero boundary conditions admits soliton solutions: stable localised oscillations that scatter elastically. In the limit of a large number of solitons with random amplitudes, velocities and positions, called soliton gas, it is more...
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Madhav Sinha (Rutgers University, New Brunswick)18/06/2026, 16:00Talk
In this talk, I will construct topological defects in non-Hermitian lattice models using integrability. I will demonstrate defect RG flows between different defects and analyze them using the g-function. This work is done in collaboration with Ananda Roy, Hubert Saleur, and Thiago Silva Tavares.
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Riccardo Senese (SISSA)19/06/2026, 10:30Talk
Despite the exact solvability of the spectrum in interacting quantum integrable models, the computation of (dynamical) correlation functions remains a major open challenge analytically and numerically. A fundamental bottleneck is that the Lehmann representation for the correlators involves a summation over a number of form factors that scales exponentially with system size, rendering exact...
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Alberto Brollo (Technical University Munich)19/06/2026, 11:30Talk
Quantum heat engines lie at the intersection of quantum thermodynamics and non-equilibrium many-body physics. Technological advances in quantum platforms have motivated studies beyond canonical equlibrium. In this talk, I will discuss whether prethermalization enhances or reduces engine efficiency by investigating Otto cycles in quantum systems with varying numbers of conserved quantities....
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Bence Fitos (Budapest University of Technology and Economics)19/06/2026, 12:00Talk
We consider a prime example of simulating interacting relativistic QFT with cold atoms: the realisation of the sine-Gordon model by tunnel-coupled quasi-1D Bose gases. While experiments have shown that it can realise the sine-Gordon model in equilibrium, studies of non-equilibrium dynamics have revealed a phase-locking behaviour that stands in contrast to predictions from sine-Gordon field...
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Enej Ilievski (University of Ljubljana)Lecture series
In these lectures, we will have a walk through the fascinating world of anomalous transport phenomena seen in quantum (and classical) integrable systems. After introducing the basic notions of transport theory, we will use the celebrated Heisenberg spin chain as our working model and discuss its dynamical properties and transport coefficients using the language of Generalized HydroDynamics....
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Samuel Pickering (University of Birmingham)Poster
The discovery of chaotic quantum circuits with (partially) solvable dynamics has played a key role in our understanding of non-equilibrium quantum matter and, at the same time, has helped the development of concrete platforms for quantum computation. It was shown that solvability does not prevent the generation of chaotic dynamics, however, it imposes non-trivial constraints on the generated...
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Anna Krasznai (Budapest University of Technology and Economics)Poster
We investigate the dynamics of the three-state Potts quantum spin chain in the extreme ferromagnetic limit using a perturbative expansion in the transverse magnetic field. We demonstrate that a perturbative approach provides access to important features beyond the reach of previous studies, most notably the description of resonant excitations and the analytic prediction of post-quench time...
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Csilla Király (HUN-REN Wigner Reserch Centre of Physics)Poster
The Blume–Capel model, a spin chain system exhibiting a tricritical point described by a conformal field theory with central charge $c=7/10$, serves as a rich framework for studying its thermal perturbation, the $E_7$ integrable quantum field theory. In my work, I investigate both numerical and analytical aspects of the $E_7$ model, aiming to validate theoretical predictions and explore new...
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Mr Thomas Edge (University of Birmingham)Poster
The Floquet-PXP model[1], also known as the rule 201 cellular automaton (RCA), represents a one-dimensional periodically driven system subject to local kinetic constraints. This model exhibits Hilbert space fragmentation, but can be restricted to a sector which can be described in terms of quasiparticle excitations with pairwise interactions. This poster presents ongoing work investigating the...
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Marius de Leeuw (Trinity College Dublin)Lecture series
In the lectures we give an introduction to the integrability of systems with generalised symmetries. We will give a brief introduction to fusion categories and non-invertible symmetries. Such symmetries are a natural generalisation of symmetry groups. They appear for example in conformal field theories and defects. Fusion categories naturally give rise to anyonic models which are a special...
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Stefano Negro (University of York)Lecture series
The ODE/IM correspondence identifies spectral data of ordinary differential equations with the structures of quantum integrable models. These lectures present the correspondence from a modern viewpoint, based on the concept of opers.
We begin with the classical prototype: the anharmonic oscillator ODE. We will work through the derivation of special entire functions, known as spectral...
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Konstantinos Chalas (SISSA, Trieste)Poster
The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or circuit dynamics and has also been observed in experiments. The entanglement dynamics emerging from long-range correlated states is far less studied,...
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Friedrich HuebnerPoster
Solvable circuits, such as dual unitary circuits and their extensions, have arisen as paradigmatic examples of tractable chaotic non-equilibrium dynamics, both in classical and quantum systems. These correspond to local algebraic relations which allow for calculation of observables due to a simplification of the corresponding tensor network. However, so far these relations are not exhaustive,...
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Andrei Rotaru (SISSA)Poster
The free scalar chiral current in two spacetime dimensions is a simple yet instructive model whose algebraic structure, on regions with nontrivial topology, makes it an exciting setting for studying entanglement. In this talk, I will present analytic expressions for the logarithmic negativity of two disjoint intervals, both on the line and on the circle. At small separation, a topological...
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Dr Sascha Gehrmann (University of Oxford)Poster
Baxter’s original proof of XYZ integrability relies on the Yang–Baxter equation. Here, we present another route by constructing a simple matrix-product operator that generates an extensive hierarchy of conserved charges commuting with the XYZ Hamiltonian, naturally extending to integrable defects and arbitrary boundary conditions.
The construction is intimately connected to the exact strong...
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Fabio Sailis (City St George, University of London)Poster
We introduce a new family of 1+1-dimensional integrable quantum field theories (IQFTs). Starting from multi-CDD models whose Thermodynamic Bethe Ansatz displays Hagedorn-type branch points, we apply a finely tuned T Tbar deformation to construct candidate UV-complete theories whose high-energy state counting is not Cardy-like. At the critical point, the leading Hagedorn growth is removed,...
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