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The time evolution of a quantum state with short-range correlations after a quench to a one-dimensional critical Hamiltonian can be understood using the quasi-particle picture, which states that local entanglement spreads as if it was…

The entanglement Hamiltonian (EH) provides the most comprehensive characterization of bipartite entanglement in many-body quantum systems. Ground states of local Hamiltonians inherit this locality, resulting in EHs that are dominated by…

Quantum Physics · Physics 2025-04-07 Federico Rottoli , Colin Rylands , Pasquale Calabrese

The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement…

Statistical Mechanics · Physics 2018-09-18 Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Pasquale Calabrese

The time evolution of the entanglement entropy is a key concept to understand the structure of a non-equilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving…

Statistical Mechanics · Physics 2021-01-13 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

The quasi-particle picture is a powerful tool to understand the entanglement spreading in many-body quantum systems after a quench. As an input, the structure of the excitations' pattern of the initial state must be provided, the common…

Statistical Mechanics · Physics 2020-03-25 Alvise Bastianello , Mario Collura

We investigate the dynamics of Entanglement Hamiltonians (EHs) in dissipative free-fermionic systems using a recent operator-based formulation of the quasiparticle picture. Focusing on gain and loss dissipation, we study the post-quench…

Statistical Mechanics · Physics 2026-02-06 Riccardo Travaglino , Federico Rottoli , Pasquale Calabrese

We study the time evolution of the R\'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. By employing dimensional reduction, we effectively transform the 2D problem into decoupled chains, a…

Statistical Mechanics · Physics 2023-10-30 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

We investigate the non-equilibrium dynamics of the symmetry-resolved R\'enyi entropies in a one-dimensional gas of non-interacting spinless fermions by means of quantum generalised hydrodynamics, which recently allowed to obtain very…

Statistical Mechanics · Physics 2022-08-23 Stefano Scopa , Dávid X. Horváth

We study the temporal evolution of the entanglement hamiltonian of an interval after a global quantum quenchin free lattice models in one spatial dimension. In a harmonic chain we explore a quench of the frequency parameter. In a chain of…

Statistical Mechanics · Physics 2020-01-01 Giuseppe Di Giulio , Raul Arias , Erik Tonni

We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the…

Statistical Mechanics · Physics 2020-10-20 Viktor Eisler , Giuseppe Di Giulio , Erik Tonni , Ingo Peschel

We begin a systematic investigation of quench dynamics in higher-dimensional lattice systems considering the case of non-interacting fermions with conserved particle number. We prepare the system in a translational-invariant non-equilibrium…

Quantum Physics · Physics 2024-06-28 Molly Gibbins , Arash Jafarizadeh , Adam Gammon-Smith , Bruno Bertini

In this paper, we investigate the quench dynamics of the negativity and fermionic negativity Hamiltonians in free fermionic systems. We do this by generalizing a recently developed quasiparticle picture for the entanglement Hamiltonians to…

Quantum Physics · Physics 2025-12-01 Riccardo Travaglino , Colin Rylands , Pasquale Calabrese

We study the entanglement dynamics generated by quantum quenches in the quantum cellular automaton Rule $54$. We consider the evolution from a recently introduced class of solvable initial states. States in this class relax (locally) to a…

Statistical Mechanics · Physics 2021-12-22 Katja Klobas , Bruno Bertini

Entanglement is a distinguishing feature of quantum many-body systems, and uncovering the entanglement structure for large particle numbers in quantum simulation experiments is a fundamental challenge in quantum information science. Here we…

The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As a concrete model, we consider a one-dimensional tight-binding model with asymmetric hopping…

Quantum Physics · Physics 2023-12-15 Takahiro Orito , Ken-Ichiro Imura

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

Quantum Physics · Physics 2021-11-02 Shachar Fraenkel , Moshe Goldstein

We investigate the dynamics of the entanglement Hamiltonian in a system of one-dimensional free fermions, following a local joining quench of two initially disconnected half-chains in their ground states. Applying techniques of conformal…

High Energy Physics - Theory · Physics 2025-08-28 Riccarda Bonsignori , Viktor Eisler

We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

Statistical Mechanics · Physics 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

Learning the structure of the entanglement Hamiltonian (EH) is central to characterizing quantum many-body states in analog quantum simulation. We describe a protocol where spatial deformations of the many-body Hamiltonian, physically…

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