223 citations · 3.7k across the 72 of their papers we have counts for
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Topological lower bound on quantum chaos by entanglement growth
Zongping Gong, Lorenzo Piroli, J. Ignacio Cirac
A fundamental result in modern quantum chaos theory is the Maldacena-Shenker-Stanford upper bound on the growth of out-of-time-order correlators, whose infinite-temperature limit i…
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…
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…
Quantum Cellular Automata, Tensor Networks, and Area Laws
Lorenzo Piroli, J. Ignacio Cirac
Quantum Cellular Automata are unitary maps that preserve locality and respect causality. We identify them, in any dimension, with simple tensor networks (PEPU) whose bond dimension…
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…
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…
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…
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…
A Random Unitary Circuit Model for Black Hole Evaporation
Lorenzo Piroli, Christoph Sünderhauf, Xiao-Liang Qi
Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time…