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The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

Statistical Mechanics · Physics 2018-03-30 Vincenzo Alba , Pasquale Calabrese

Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the efficiency of simulations on classical…

Quantum Gases · Physics 2013-09-23 J. Schachenmayer , B. P. Lanyon , C. F. Roos , A. J. Daley

We study the out-of-equilibrium dynamics of entanglement fluctuations in the $\nu=1$ Quantum Symmetric Simple Exclusion Process, a free-fermion chain with hopping amplitudes that are stochastic in time but homogeneous in space. Previous…

Statistical Mechanics · Physics 2026-05-11 Angelo Russotto , Filiberto Ares , Pasquale Calabrese , Vincenzo Alba

Dual-unitary circuits are paradigmatic examples of exactly solvable yet chaotic quantum many-body systems, but solvability naturally goes along with a degree of non-generic behaviour. By investigating the effect of weakly broken…

Quantum Physics · Physics 2023-05-04 Michael A. Rampp , Roderich Moessner , Pieter W. Claeys

Quantum many-body devices suffer from imperfections that destabilize dynamics and limit scalability. We show that the dynamical growth of entanglement can intrinsically protect generic quantum dynamics against coherent and perturbative…

Quantum Physics · Physics 2026-02-25 Tianfeng Feng , Yue Cao , Wenjun Yu , Junkai Zeng , Xiaopeng Li , Xiu-Hao Deng , Qi Zhao

We consider a molecular dynamics method, the so-called flea gas for computing the evolution of entanglement after inhomogeneous quantum quenches in an integrable quantum system. In such systems the evolution of local observables is…

Statistical Mechanics · Physics 2020-04-15 Márton Mestyán , Vincenzo Alba

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

Cellular automata are interacting classical bits that display diverse emergent behaviors, from fractals to random-number generators to Turing-complete computation. We discover that quantum cellular automata (QCA) can exhibit complexity in…

The entanglement evolution after a quantum quench became one of the tools to distinguish integrable versus chaotic (non-integrable) quantum many-body dynamics. Following this line of thoughts, here we propose that the revivals in the…

Statistical Mechanics · Physics 2020-09-01 Ranjan Modak , Vincenzo Alba , Pasquale Calabrese

We construct and classify chiral topological phases in driven (Floquet) systems of strongly interacting bosons, with finite-dimensional site Hilbert spaces, in two spatial dimensions. The construction proceeds by introducing exactly soluble…

Disordered Systems and Neural Networks · Physics 2017-01-04 Hoi Chun Po , Lukasz Fidkowski , Takahiro Morimoto , Andrew C. Potter , Ashvin Vishwanath

We study the effect of topology variation on the dynamic behavior of a system with local update rules. We implement one-dimensional binary cellular automata on graphs with various topologies by formulating two sets of degree-dependent…

Statistical Mechanics · Physics 2009-11-11 Carsten Marr , Marc-Thorsten Huett

The development and spread of entanglement in complex quantum systems is central to exploring many-body phenomena out of equilibrium. Measuring entanglement dynamics can shed light on information scrambling and thermalisation, namely on…

We consider Clifford Quantum Cellular Automata (CQCAs) and their time evolution. CQCAs are an especially simple type of Quantum Cellular Automata, yet they show complex asymptotics and can even be a basic ingredient for universal quantum…

Quantum Physics · Physics 2010-02-01 Johannes Gütschow , Sonja Uphoff , Reinhard F. Werner , Zoltán Zimborás

Long-range interactions allow far-distance quantum correlations to build up very fast. Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement entropy growth after a sudden quench. In this work, we unveil the…

Statistical Mechanics · Physics 2020-02-26 Alessio Lerose , Silvia Pappalardi

We consider the non-equilibrium dynamics of the entanglement entropy of a one-dimensional quantum gas of hard-core particles, initially confined in a box potential at zero temperature. At $t=0$ the right edge of the box is suddenly released…

Statistical Mechanics · Physics 2021-09-10 Stefano Scopa , Alexandre Krajenbrink , Pasquale Calabrese , Jérôme Dubail

Quenched randomness can have a dramatic effect on the dynamics of isolated 1D quantum many-body systems, even for systems that thermalize. This is because transport, entanglement, and operator spreading can be hindered by `Griffiths' rare…

Disordered Systems and Neural Networks · Physics 2018-07-25 Adam Nahum , Jonathan Ruhman , David A. Huse

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

We discuss the behaviour of holographic entanglement entropy following a local quench in 2+1 dimensional strongly coupled CFTs. The entanglement generated by the quench propagates along an emergent light-cone, reminiscent of the…

High Energy Physics - Theory · Physics 2016-05-04 Mukund Rangamani , Moshe Rozali , Alexandre Vincart-Emard

We study entanglement entropy of unusual $\mathbb{Z}_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint in a manner akin to fracton topological phases. It is widely known that the…

Strongly Correlated Electrons · Physics 2024-07-30 Hiromi Ebisu

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…

Statistical Mechanics · Physics 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands