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20142026
most citedExact dynamics in dual-unitary quantum circuits

223 citations · 3.7k across the 72 of their papers we have counts for

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cond-mat.stat-mech2026

Correlation and entanglement dynamics of free fermions in disguise

Dávid Szász-Schagrin, Pablo Bayona-Pena, Lorenzo Piroli +1

We study the nonequilibrium dynamics following a quantum quench in spin chains that can be solved via a mapping to free fermions in disguise. These models feature an exponential de…

cond-mat.stat-mech2025★ 2 cited

The Hilbert-space structure of free fermions in disguise

Eric Vernier, Lorenzo Piroli

Free fermions in disguise (FFD) Hamiltonians describe spin chains which can be mapped to free fermions, but not via a Jordan-Wigner transformation. Although the mapping gives acces…

cond-mat.stat-mech2025★ 3 cited

Entanglement dynamics and Page curves in random permutation circuits

Dávid Szász-Schagrin, Michele Mazzoni, Bruno Bertini +2

The characterization of ensembles of many-qubit random states and their realization via quantum circuits are crucial tasks in quantum-information theory. In this work, we study the…

cond-mat.stat-mech2025★ 13 cited

Entanglement asymmetry dynamics in random quantum circuits

Filiberto Ares, Sara Murciano, Pasquale Calabrese +1

We study the dynamics of entanglement asymmetry in random unitary circuits (RUCs). Focusing on a local charge, we consider symmetric initial states evolved by both local one…

cond-mat.stat-mech2024★ 5 cited

Generalized hydrodynamics of integrable quantum circuits

Friedrich Hübner, Eric Vernier, Lorenzo Piroli

Quantum circuits make it possible to simulate the continuous-time dynamics of a many-body Hamiltonian by implementing discrete Trotter steps of duration . However, when is s…

cond-mat.stat-mech2024★ 30 cited

Monitored fermions with conserved charge

Michele Fava, Lorenzo Piroli, Denis Bernard +1

We study measurement-induced phases of free fermion systems with U(1) symmetry. Following a recent approach developed for Majorana chains, we derive a field theory description for…

cond-mat.stat-mech2024★ 16 cited

Strong zero modes in integrable quantum circuits

Eric Vernier, Hsiu-Chung Yeh, Lorenzo Piroli +1

It is a classic result that certain interacting integrable spin chains host robust edge modes known as strong zero modes (SZMs). In this work, we extend this result to the Floquet…

cond-mat.stat-mech2023★ 21 cited

Density and current statistics in boundary-driven monitored fermionic chains

Xhek Turkeshi, Lorenzo Piroli, Marco Schirò

We consider a one-dimensional system of non-interacting fermions featuring both boundary driving and continuous monitoring of the bulk particle density. Due to the measurements, th…

cond-mat.stat-mech2023★ 79 cited

Nonlinear sigma models for monitored dynamics of free fermions

Michele Fava, Lorenzo Piroli, Tobias Swann +2

We derive field theory descriptions for measurement-induced phase transitions in free fermion systems. We focus on a multi-flavor Majorana chain, undergoing Hamiltonian evolution w…

cond-mat.stat-mech2022

Generalized hydrodynamics of the repulsive spin- Fermi gas

Stefano Scopa, Pasquale Calabrese, Lorenzo Piroli

We study non-homogeneous quantum quenches in a one-dimensional gas of repulsive spin- fermions, as described by the integrable Yang-Gaudin model. By means of generalized hydro…

cond-mat.stat-mech2022★ 62 cited

Enhanced entanglement negativity in boundary driven monitored fermionic chains

Xhek Turkeshi, Lorenzo Piroli, Marco Schirò

We investigate entanglement dynamics in continuously monitored open quantum systems featuring current-carrying non-equilibrium states. We focus on a prototypical one-dimensional mo…

cond-mat.stat-mech2022★ 1 cited

Thermodynamic symmetry resolved entanglement entropies in integrable systems

Lorenzo Piroli, Eric Vernier, Mario Collura +1

We develop a general approach to compute the symmetry-resolved Rényi and von Neumann entanglement entropies (SREE) of thermodynamic macrostates in interacting integrable systems. O…

cond-mat.stat-mech2021★ 74 cited

Temporal entanglement, quasiparticles and the role of interactions

Giacomo Giudice, Giuliano Giudici, Michael Sonner +4

In quantum many-body dynamics admitting a description in terms of non-interacting quasiparticles, the Feynman-Vernon influence matrix (IM), encoding the effect of the system on the…

cond-mat.stat-mech2021★ 12 cited

Coarse-grained Entanglement and Operator Growth in Anomalous Dynamics

Zongping Gong, Adam Nahum, Lorenzo Piroli

In two-dimensional Floquet systems, many-body localized dynamics in the bulk may give rise to a chaotic evolution at the one-dimensional edges that is characterized by a nonzero ch…

cond-mat.stat-mech2021★ 28 cited

Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics

Stefano Scopa, Pasquale Calabrese, Lorenzo Piroli

We revisit early suggestions to observe spin-charge separation (SCS) in cold-atom settings {in the time domain} by studying one-dimensional repulsive Fermi gases in a harmonic pote…

cond-mat.stat-mech2021★ 10 cited

Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects

Vincenzo Alba, Bruno Bertini, Maurizio Fagotti +2

We give a pedagogical introduction to the Generalized Hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the…

cond-mat.stat-mech2021★ 49 cited

Entanglement distribution in the Quantum Symmetric Simple Exclusion Process

Denis Bernard, Lorenzo Piroli

We study the probability distribution of entanglement in the Quantum Symmetric Simple Exclusion Process, a model of fermions hopping with random Brownian amplitudes between neighbo…

cond-mat.stat-mech2020★ 122 cited

Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton

Katja Klobas, Bruno Bertini, Lorenzo Piroli

We study the out-of-equilibrium dynamics of the quantum cellular automaton known as "Rule 54". For a class of low-entangled initial states, we provide an analytic description of th…

cond-mat.stat-mech2020★ 66 cited

Integrability of Lindbladians from operator-space fragmentation

Fabian H. L. Essler, Lorenzo Piroli

We introduce families of one-dimensional Lindblad equations describing open many-particle quantum systems that are exactly solvable in the following sense: the space of opera…

cond-mat.stat-mech2020★ 26 cited

Fermionic quantum cellular automata and generalized matrix product unitaries

Lorenzo Piroli, Alex Turzillo, Sujeet K. Shukla +1

We study matrix product unitary operators (MPUs) for fermionic one-dimensional (1D) chains. In stark contrast with the case of 1D qudit systems, we show that (i) fermionic MPUs do…

cond-mat.stat-mech2020★ 26 cited

One-particle density matrix of a trapped Lieb-Liniger anyonic gas

Stefano Scopa, Lorenzo Piroli, Pasquale Calabrese

We provide a thorough characterisation of the zero-temperature one-particle density matrix of trapped interacting anyonic gases in one dimension, exploiting recent advances in the…

cond-mat.stat-mech2020★ 123 cited

Scrambling in Random Unitary Circuits: Exact Results

Bruno Bertini, Lorenzo Piroli

We study the scrambling of quantum information in local random unitary circuits by focusing on the tripartite information proposed by Hosur et al. We provide exact results for the…

cond-mat.stat-mech2020★ 5 cited

Determinant formula for the field form factor in the anyonic Lieb-Liniger model

Lorenzo Piroli, Stefano Scopa, Pasquale Calabrese

We derive an exact formula for the field form factor in the anyonic Lieb-Liniger model, valid for arbitrary values of the interaction , anyonic parameter , and number of part…

cond-mat.stat-mech2019★ 223 cited

Exact dynamics in dual-unitary quantum circuits

Lorenzo Piroli, Bruno Bertini, J. Ignacio Cirac +1

We consider the class of dual-unitary quantum circuits in dimensions and introduce a notion of ``solvable'' matrix product states (MPSs), defined by a specific condition whic…