14th Trieste–Ljubljana-Zagreb meeting @ Zagreb

When: Thursday, 14th Apr, 2025
Where: Ruđer Boškovič Institute.

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10.30–11:00	Welcome coffee break
11:00–11:30	Mark Arildsen SISSA)
11:30–12:00	Kohei Ogane (JSI)
11:00–11:30	Coffee break
12:00–12:30	Hernan Xavier (ICTP)
12:30–14:30	Lunch break and Discussion
14:30–15:00	Giampaolo Torre (IRB)
15:00–15:30	Francesco Gentile (SISSA)
15:30–16:00	Coffee break
16:00–16:30	Rustem Sharipov (FMF)
16:30–17:00	Gianni Aupetit-Diallo (SISSA)
17:00–18:30	Poster Session
19:00–21:00	Dinner

FMF	=	Faculty of Mathematics and Physics (Ljubljana)
IJS	=	Jožef Stefan Institute (Ljubljana)
IRB	=	Ruđer Bošković Institute (Zagreb)
SISSA	=	International School for Advanced Studies (Trieste)
ICTP	=	International Centre for Theoretical Physics (Trieste)

Symmetry-Resolved Entanglement Entropy in a Non-Abelian Quantum Hall State
Speaker	Mark Arildsen (SISSA)
Abstract	Quantum Hall states serve as an excellent platform for exploration of symmetry-resolved entanglement in the (2+1)-dimensional setting. Following on prior investigation of Abelian quantum Hall states [Oblak, Regnault, Estienne, PRB 105, 115131], we now compute the full counting statistics and symmetry-resolved entanglement entropies of the non-Abelian, bosonic Moore-Read quantum Hall state, with the aid of numerical computations from exact matrix product states. We find a form of equipartition of entanglement, up to finite-size corrections. We are also able to perform detailed analysis of the finite-size splittings of the symmetry-resolved entanglement spectrum using conformal field theory, which enables a granular understanding of the role of the finite-size corrections in a range of entanglement measures for these states.

TBA
Speaker	Kohei Ogane (JSI)
Abstract	TBA

Chiral gravitons on the lattice.
Speaker	Hernan Xavier (ICTP)
Abstract	Chiral graviton modes are exotic excitations tied to the underlying quantum geometry of fractional quantum Hall states. But do these persist on lattice models where continuum translations is broken and decay channels arise? In this talk, I introduce a field-theoretic framework that captures chiral graviton physics within the bosonic Harper-Hofstadter model. Backed by strong numerical evidence, we fin that these modes remain robust even in the presence of lattice effects, being well captured by our lattice ansatz. I’ll also highlight how geometric quenches offer a practical route to probing chiral gravitons in near-term quantum simulators.

TBA
Speaker	Giampaolo Torre (IRB)
Abstract	TBA

Entanglement hamiltonian of two disjoint blocks in the harmonic chain.
Speaker	Francesco Gentile (SISSA)
Abstract	I will talk about the entanglement Hamiltonian of two disjoint blocks in the harmonic chain on the line and in its ground state. In the regime of large mass, the non vanishing terms are only the on-site and the nearest-neighbour ones. Analytic expressions are obtained for their profiles, which are written in terms of piecewise linear functions that can be discontinuous and display sharp transitions as the separation between the blocks changes. In the regime of vanishing mass, where the matrices characterising the entanglement Hamiltonian contain couplings at all distances, we explore the location of the subdominant terms and some combinations of matrix elements that are useful for the continuum limit, comparing the results with the corresponding ones for the free chiral current. The single-particle entanglement spectra of these entanglement Hamiltonians are also investigated.

TBA
Speaker	Rustem Sharipov (FMF)
Abstract	TBA

Accuracy of time-dependent GGE under weak dissipation.
Speaker	Gianni Aupetit-Diallo (SISSA)
Abstract	Unitary integrable models typically relax to a stationary Generalized Gibbs Ensemble (GGE), but in experimental realizations dissipation often breaks integrability. In this work, we use the recently introduced time-dependent GGE (t-GGE) approach to describe the open dynamics of a gas of bosons subject to atom losses and gains. We employ tensor network methods to provide numerical evidence of the exactness of the t-GGE in the limit of adiabatic dissipation, and of its accuracy in the regime of weak but finite dissipation. That accuracy is tested for two-point functions via the rapidity distribution, and for more complicated correlations through a non-Gaussianity measure. We combine this description with Generalized Hydrodynamics and we show that it correctly captures transport at the Euler scale. Our results demonstrate that the t-GGE approach is robust in both homogeneous and inhomogeneous settings.