Entanglement dynamics after quantum quenches in generic integrable systems
Vincenzo Alba, Pasquale Calabrese
SciPost Phys. 4, 017 (2018) · published 27 March 2018
- doi: 10.21468/SciPostPhys.4.3.017
- Submissions/Reports
Abstract
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 entanglement spreading with the exact knowledge of the stationary state provided by Bethe ansatz, it is possible to obtain an exact and analytic description of the evolution of the entanglement entropy. Here we discuss the application of these ideas to several integrable models. First we show that for non-interacting systems, both bosonic and fermionic, the exact time-dependence of the entanglement entropy can be derived by elementary techniques and without solving the dynamics. We then provide exact results for interacting spin chains that are carefully tested against numerical simulations. Finally, we apply this method to integrable one-dimensional Bose gases (Lieb-Liniger model) both in the attractive and repulsive regimes. We highlight a peculiar behaviour of the entanglement entropy due to the absence of a maximum velocity of excitations.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.4.3.017
TI - Entanglement dynamics after quantum quenches in generic integrable systems
PY - 2018/03/27
UR - https://www.scipost.org/SciPostPhys.4.3.017
JF - SciPost Physics
JA - SciPost Phys.
VL - 4
IS - 3
SP - 017
A1 - Alba, Vincenzo
AU - Calabrese, Pasquale
AB - 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 entanglement spreading with the exact knowledge of the stationary state provided by Bethe ansatz, it is possible to obtain an exact and analytic description of the evolution of the entanglement entropy. Here we discuss the application of these ideas to several integrable models. First we show that for non-interacting systems, both bosonic and fermionic, the exact time-dependence of the entanglement entropy can be derived by elementary techniques and without solving the dynamics. We then provide exact results for interacting spin chains that are carefully tested against numerical simulations. Finally, we apply this method to integrable one-dimensional Bose gases (Lieb-Liniger model) both in the attractive and repulsive regimes. We highlight a peculiar behaviour of the entanglement entropy due to the absence of a maximum velocity of excitations.
ER -
@Article{10.21468/SciPostPhys.4.3.017,
title={{Entanglement dynamics after quantum quenches in generic integrable systems}},
author={Vincenzo Alba and Pasquale Calabrese},
journal={SciPost Phys.},
volume={4},
pages={017},
year={2018},
publisher={SciPost},
doi={10.21468/SciPostPhys.4.3.017},
url={https://scipost.org/10.21468/SciPostPhys.4.3.017},
}
Cited by 176
-
Kulkarni et al., Generating entanglement by quantum resetting
Phys. Rev. A 108, 062210 (2023) [Crossref] -
Alba et al., Spreading of correlations in Markovian open quantum systems
Phys. Rev. B 103, L020302 (2021) [Crossref] -
Sierant et al., Entanglement Growth and Minimal Membranes in (
d+1
) Random Unitary Circuits
Phys. Rev. Lett. 131, 230403 (2023) [Crossref] -
MacCormack et al., Operator and entanglement growth in nonthermalizing systems: Many-body localization and the random singlet phase
Phys. Rev. B 104, 214202 (2021) [Crossref] -
Alba et al., Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
Phys. Rev. B 105, 054303 (2022) [Crossref] -
Bauer et al., Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
Phys. Rev. Lett. 130, 190401 (2023) [Crossref] -
Møller et al., Euler-scale dynamical correlations in integrable systems with fluid motion
SciPost Phys. Core 3, 016 (2020) [Crossref] -
Lerose et al., Quasilocalized dynamics from confinement of quantum excitations
Phys. Rev. B 102, 041118 (2020) [Crossref] -
Parez et al., Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain
J. Phys. A: Math. Theor. 55, 505005 (2022) [Crossref] -
Gruber et al., Entanglement spreading after local fermionic excitations in the XXZ chain
SciPost Phys. 10, 005 (2021) [Crossref] -
Piccitto et al., Entanglement dynamics with string measurement operators
SciPost Phys. Core 6, 078 (2023) [Crossref] -
Klobas et al., Exact Thermalization Dynamics in the “Rule 54” Quantum Cellular Automaton
Phys. Rev. Lett. 126, 160602 (2021) [Crossref] -
Biagetti et al., Bound-state confinement after trap-expansion dynamics in integrable systems
J. Stat. Mech. 2024, 093103 (2024) [Crossref] -
Abdul-Rahman, Dynamical evolution of entanglement in disordered oscillator systems
Rev. Math. Phys. 35, 2350003 (2023) [Crossref] -
Lee et al., Entanglement Phase Transition Due to Reciprocity Breaking without Measurement or Postselection
PRX Quantum 5, 010313 (2024) [Crossref] -
Modak et al., Entanglement revivals as a probe of scrambling in finite quantum systems
J. Stat. Mech. 2020, 083110 (2020) [Crossref] -
Alba et al., Hydrodynamics of quantum entropies in Ising chains with linear dissipation
J. Phys. A: Math. Theor. 55, 074002 (2022) [Crossref] -
Lagnese et al., Quenches and confinement in a Heisenberg–Ising spin ladder
J. Phys. A: Math. Theor. 55, 124003 (2022) [Crossref] -
Di Giulio et al., Entanglement Hamiltonians in 1D free lattice models after a global quantum quench
J. Stat. Mech. 2019, 123103 (2019) [Crossref] -
Kudler-Flam et al., The negativity contour: a quasi-local measure of entanglement for mixed states
SciPost Phys. 8, 063 (2020) [Crossref] -
Orito et al., Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems
Phys. Rev. B 105, 024303 (2022) [Crossref] -
Kagamihara et al., Rényi entanglement entropy after a quantum quench starting from insulating states in a free boson system
Phys. Rev. A 107, 033305 (2023) [Crossref] -
Gao et al., Information scrambling in free fermion systems with a sole interaction
Phys. Rev. B 110, 035137 (2024) [Crossref] -
Bácsi et al., Dynamics of entanglement after exceptional quantum quench
Phys. Rev. B 103, 085137 (2021) [Crossref] -
Lagnese et al., Entanglement dynamics of thermofield double states in integrable models
J. Phys. A: Math. Theor. 55, 214003 (2022) [Crossref] -
Marić, Universality in the tripartite information after global quenches: spin flip and semilocal charges
J. Stat. Mech. 2023, 113103 (2023) [Crossref] -
Canfora et al., Exact mapping from the
(3+1)
-dimensional Skyrme model to the
(1+1)
-dimensional sine-Gordon theory and some applications
Phys. Rev. D 108, 114027 (2023) [Crossref] -
Mestyán et al., Spin-charge separation effects in the low-temperature transport of one-dimensional Fermi gases
Phys. Rev. B 99, 014305 (2019) [Crossref] -
Parez et al., Quasiparticle dynamics of symmetry-resolved entanglement after a quench: Examples of conformal field theories and free fermions
Phys. Rev. B 103, L041104 (2021) [Crossref] -
Robinson et al., On computing non-equilibrium dynamics following a quench
SciPost Phys. 11, 104 (2021) [Crossref] -
Bertini et al., Prethermalization and thermalization in entanglement dynamics
Phys. Rev. B 102, 094303 (2020) [Crossref] -
Menon et al., Multipartite entanglement in the one-dimensional spin-
12
Heisenberg antiferromagnet
Phys. Rev. B 107, 054422 (2023) [Crossref] -
Tartaglia et al., Real-time evolution in the Hubbard model with infinite repulsion
SciPost Phys. 12, 028 (2022) [Crossref] -
Horváth et al., Entanglement of stationary states in the presence of unstable quasiparticles
J. High Energ. Phys. 2023, 91 (2023) [Crossref] -
Gruber et al., Magnetization and entanglement after a geometric quench in the XXZ chain
Phys. Rev. B 99, 174403 (2019) [Crossref] -
Rakovszky et al., Entanglement growth after inhomogenous quenches
Phys. Rev. B 100, 125139 (2019) [Crossref] -
Kosior et al., Nonlinear entanglement growth in inhomogeneous space-times
Phys. Rev. Research 2, 043036 (2020) [Crossref] -
Bertini et al., Entanglement evolution and generalised hydrodynamics: noninteracting systems
J. Phys. A: Math. Theor. 51, 39LT01 (2018) [Crossref] -
Krajnik et al., Absence of Normal Fluctuations in an Integrable Magnet
Phys. Rev. Lett. 128, 090604 (2022) [Crossref] -
Caceffo et al., Entanglement negativity in a fermionic chain with dissipative defects: exact results
J. Stat. Mech. 2023, 023102 (2023) [Crossref] -
Scopa et al., Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
J. Phys. A: Math. Theor. 54, 404002 (2021) [Crossref] -
Pozsgay et al., Sublattice entanglement in an exactly solvable anyonlike spin ladder
Phys. Rev. E 106, 044120 (2022) [Crossref] -
Pomponio et al., Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
J. Stat. Mech. 2019, 013104 (2019) [Crossref] -
Choudhury et al., Circuit Complexity in Interacting Quenched Quantum Field Theory
Symmetry 15, 655 (2023) [Crossref] -
del Vecchio del Vecchio et al., Entanglement Rényi entropies from ballistic fluctuation theory: The free fermionic case
SciPost Phys. Core 7, 005 (2024) [Crossref] -
Alba et al., Quantum information dynamics in multipartite integrable systems
EPL 126, 60001 (2019) [Crossref] -
Perfetto et al., Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
SciPost Phys. 10, 116 (2021) [Crossref] -
Qin et al., Occupation-Dependent Particle Separation in One-Dimensional Non-Hermitian Lattices
Phys. Rev. Lett. 132, 096501 (2024) [Crossref] -
Russomanno et al., Entanglement transitions and quantum bifurcations under continuous long-range monitoring
Phys. Rev. B 108, 104313 (2023) [Crossref] -
Castro-Alvaredo et al., Symmetry-resolved measures in quantum field theory: A short review
Mod. Phys. Lett. B, 2430002 (2024) [Crossref] -
Alberton et al., Entanglement Transition in a Monitored Free-Fermion Chain: From Extended Criticality to Area Law
Phys. Rev. Lett. 126, 170602 (2021) [Crossref] -
Moosa, Time dependence of reflected entropy in rational and holographic conformal field theories
J. High Energ. Phys. 2020, 82 (2020) [Crossref] -
Singha Roy et al., Exotic correlation spread in free-fermionic states with initial patterns
Phys. Rev. B 105, 214306 (2022) [Crossref] -
Rylands et al., Transport and Entanglement across Integrable Impurities from Generalized Hydrodynamics
Phys. Rev. Lett. 131, 156303 (2023) [Crossref] -
Bastianello et al., Entanglement spreading and quasiparticle picture beyond the pair structure
SciPost Phys. 8, 045 (2020) [Crossref] -
Francesconi et al., Strong coupling from non-equilibrium Monte Carlo simulations
J. High Energ. Phys. 2020, 233 (2020) [Crossref] -
Parez et al., Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
J. Stat. Mech. 2021, 093102 (2021) [Crossref] -
Mozaffar et al., Time scaling of entanglement in integrable scale-invariant theories
Phys. Rev. Research 4, L022010 (2022) [Crossref] -
Capizzi et al., Symmetry resolved entanglement entropy of excited states in a CFT
J. Stat. Mech. 2020, 073101 (2020) [Crossref] -
Giudice et al., Temporal Entanglement, Quasiparticles, and the Role of Interactions
Phys. Rev. Lett. 128, 220401 (2022) [Crossref] -
Sacramento, Entanglement and Fidelity: Statics and Dynamics
Symmetry 15, 1055 (2023) [Crossref] -
Calabrese, Entanglement spreading in non-equilibrium integrable systems
SciPost Phys. Lect. Notes, 20 (2020) [Crossref] -
Fabiani et al., Ultrafast dynamics of entanglement in Heisenberg antiferromagnets
Phys. Rev. B 105, 094438 (2022) [Crossref] -
Cao et al., Entanglement in a fermion chain under continuous monitoring
SciPost Phys. 7, 024 (2019) [Crossref] -
Piroli et al., Exact dynamics in dual-unitary quantum circuits
Phys. Rev. B 101, 094304 (2020) [Crossref] -
Chapman et al., Complexity and entanglement for thermofield double states
SciPost Phys. 6, 034 (2019) [Crossref] -
Bera et al., Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions
Eur. Phys. J. D 74, 73 (2020) [Crossref] -
Murciano et al., Entanglement asymmetry and quantum Mpemba effect in the XY spin chain
J. Stat. Mech. 2024, 013103 (2024) [Crossref] -
Marić et al., Universality in the tripartite information after global quenches: (generalised) quantum XY models
J. High Energ. Phys. 2023, 140 (2023) [Crossref] -
Carollo et al., Dissipative quasiparticle picture for quadratic Markovian open quantum systems
Phys. Rev. B 105, 144305 (2022) [Crossref] -
Alba, Towards a generalized hydrodynamics description of Rényi entropies in integrable systems
Phys. Rev. B 99, 045150 (2019) [Crossref] -
De Palma et al., Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states
SciPost Phys. 12, 021 (2022) [Crossref] -
Murciano et al., Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
J. Stat. Mech. 2019, 034001 (2019) [Crossref] -
Bastianello et al., Spreading of entanglement and correlations after a quench with intertwined quasiparticles
SciPost Phys. 5, 033 (2018) [Crossref] -
Shekhar et al., Entanglement dynamics of multi-parametric random states: a single parametric formulation
J. Phys. A: Math. Theor. 56, 265303 (2023) [Crossref] -
Bertini et al., Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
Phys. Rev. X 12, 031016 (2022) [Crossref] -
Mbeng et al., The quantum Ising chain for beginners
SciPost Phys. Lect. Notes, 82 (2024) [Crossref] -
Yamashika et al., Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems
Phys. Rev. B 110, 085126 (2024) [Crossref] -
Nishida et al., Entanglement spreading and oscillation
J. Stat. Mech. 2019, 053102 (2019) [Crossref] -
Zhou et al., Diffusive scaling of Rényi entanglement entropy
Phys. Rev. Research 2, 033020 (2020) [Crossref] -
Doyon et al., Fluctuations in Ballistic Transport from Euler Hydrodynamics
Ann. Henri Poincaré 21, 255 (2020) [Crossref] -
Rylands et al., Integrable quenches in the Hubbard model
J. Stat. Mech. 2022, 103103 (2022) [Crossref] -
Alba et al., Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects
J. Stat. Mech. 2021, 114004 (2021) [Crossref] -
Bastianello et al., Integrability-Protected Adiabatic Reversibility in Quantum Spin Chains
Phys. Rev. Lett. 122, 240606 (2019) [Crossref] -
Starchl et al., Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
Phys. Rev. Research 6, 013016 (2024) [Crossref] -
Collura et al., Dynamical manifestation of the Gibbs paradox after a quantum quench
Phys. Rev. A 98, 053610 (2018) [Crossref] -
Kudler-Flam et al., Entanglement of local operators and the butterfly effect
Phys. Rev. Research 3, 033182 (2021) [Crossref] -
Fava et al., Many-body dynamical localization in the kicked Bose-Hubbard chain
Phys. Rev. B 101, 064302 (2020) [Crossref] -
Turkeshi et al., Enhanced entanglement negativity in boundary-driven monitored fermionic chains
Phys. Rev. B 106, 024304 (2022) [Crossref] -
Alba, Diffusion and operator entanglement spreading
Phys. Rev. B 104, 094410 (2021) [Crossref] -
Doyon et al., Emergence of Hydrodynamic Spatial Long-Range Correlations in Nonequilibrium Many-Body Systems
Phys. Rev. Lett. 131, 027101 (2023) [Crossref] -
Jin et al., Interplay between transport and quantum coherences in free fermionic systems
J. Phys. A: Math. Theor. 54, 404001 (2021) [Crossref] -
Alba et al., Unusual area-law violation in random inhomogeneous systems
J. Stat. Mech. 2019, 023105 (2019) [Crossref] -
Zhang et al., Subsystem Trace Distance in Quantum Field Theory
Phys. Rev. Lett. 122, 141602 (2019) [Crossref] -
Mohammadi Mozaffar et al., Universal scaling in fast quenches near Lifshitz-like fixed points
Physics Letters B 797, 134906 134906 (2019) [Crossref] -
Lerose et al., Origin of the slow growth of entanglement entropy in long-range interacting spin systems
Phys. Rev. Research 2, 012041 (2020) [Crossref] -
Wu et al., Exact one- and two-site reduced dynamics in a finite-size quantum Ising ring after a quench: A semianalytical approach
Phys. Rev. B 103, 174428 (2021) [Crossref] -
Arias et al., Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
J. High Energ. Phys. 2023, 175 (2023) [Crossref] -
Yu et al., Free-fermion Page curve: Canonical typicality and dynamical emergence
Phys. Rev. Research 5, 013044 (2023) [Crossref] -
Foligno et al., Growth of entanglement of generic states under dual-unitary dynamics
Phys. Rev. B 107, 174311 (2023) [Crossref] -
Gibbins et al., Quench dynamics in lattices above one dimension: The free fermionic case
Phys. Rev. B 109, 224310 (2024) [Crossref] -
Apollaro et al.,
, 6 (2019) [Crossref] -
Anselme Martin et al., Combining matrix product states and noisy quantum computers for quantum simulation
Phys. Rev. A 109, 062437 (2024) [Crossref] -
Ruggiero et al., Quantum information spreading in random spin chains
Phys. Rev. B 106, 134205 (2022) [Crossref] -
Pappalardi et al., Entanglement entropy of the long-range Dyson hierarchical model
J. Stat. Mech. 2019, 073102 (2019) [Crossref] -
Zhang et al., Subsystem distance after a local operator quench
J. High Energ. Phys. 2020, 56 (2020) [Crossref] -
Fritzsch et al., Boundary chaos: Exact entanglement dynamics
SciPost Phys. 15, 092 (2023) [Crossref] -
Ares et al., Entanglement asymmetry as a probe of symmetry breaking
Nat Commun 14, 2036 (2023) [Crossref] -
Fraenkel et al., Extensive long-range entanglement at finite temperatures from a nonequilibrium bias
Phys. Rev. B 110, 035149 (2024) [Crossref] -
Kudler-Flam et al., The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
J. High Energ. Phys. 2021, 146 (2021) [Crossref] -
Choudhury et al., Entanglement in interacting quenched two-body coupled oscillator system
Phys. Rev. D 106, 025002 (2022) [Crossref] -
Aravinda et al., Complexity growth for one-dimensional free-fermionic lattice models
Phys. Rev. B 108, 064309 (2023) [Crossref] -
Piccitto et al., The impact of different unravelings in a monitored system of free fermions
Eur. Phys. J. B 97, 90 (2024) [Crossref] -
Barch et al., Scrambling and operator entanglement in local non-Hermitian quantum systems
Phys. Rev. B 108, 134305 (2023) [Crossref] -
Kim et al., Entanglement after quantum quenches in Lifshitz scalar theories
J. Stat. Mech. 2019, 093104 (2019) [Crossref] -
Emonts et al., Reduced density matrix and entanglement of interacting quantum field theories with Hamiltonian truncation
Phys. Rev. Research 4, 033039 (2022) [Crossref] -
Wald et al., Entanglement and classical fluctuations at finite-temperature critical points
J. Stat. Mech. 2020, 033105 (2020) [Crossref] -
Camilo et al., Strong subadditivity of the Rényi entropies for bosonic and fermionic Gaussian states
Phys. Rev. B 99, 045155 (2019) [Crossref] -
Mestyán et al., Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
SciPost Phys. 8, 055 (2020) [Crossref] -
Zhang et al., Subsystem trace distance in low-lying states of (1 + 1)-dimensional conformal field theories
J. High Energ. Phys. 2019, 181 (2019) [Crossref] -
Caceffo et al., Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems
J. Stat. Mech. 2024, 063103 (2024) [Crossref] -
Mozaffar et al., Entanglement evolution in Lifshitz-type scalar theories
J. High Energ. Phys. 2019, 137 (2019) [Crossref] -
Yamashika et al., Time evolution of entanglement entropy after quenches in two-dimensional free fermion systems: A dimensional reduction treatment
Phys. Rev. B 109, 125122 (2024) [Crossref] -
Piroli et al., Integrable quenches in nested spin chains I: the exact steady states
J. Stat. Mech. 2019, 063103 (2019) [Crossref] -
Gopalakrishnan, Operator growth and eigenstate entanglement in an interacting integrable Floquet system
Phys. Rev. B 98, 060302 (2018) [Crossref] -
Starchl et al., Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
Phys. Rev. Lett. 129, 220602 (2022) [Crossref] -
Tirrito et al., Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
SciPost Phys. 15, 096 (2023) [Crossref] -
Qian et al., Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
Phys. Rev. B 109, 054204 (2024) [Crossref] -
Ares et al., Lack of symmetry restoration after a quantum quench: An entanglement asymmetry study
SciPost Phys. 15, 089 (2023) [Crossref] -
Murciano et al.,
, 397 (2022) [Crossref] -
Michailidis et al., Slow Quantum Thermalization and Many-Body Revivals from Mixed Phase Space
Phys. Rev. X 10, 011055 (2020) [Crossref] -
Rakovszky et al., Sub-ballistic Growth of Rényi Entropies due to Diffusion
Phys. Rev. Lett. 122, 250602 (2019) [Crossref] -
Kudler-Flam et al., Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
J. High Energ. Phys. 2020, 74 (2020) [Crossref] -
Alves et al., Momentum-space entanglement after smooth quenches
Eur. Phys. J. C 79, 48 (2019) [Crossref] -
Alba et al., Operator Entanglement in Interacting Integrable Quantum Systems: The Case of the Rule 54 Chain
Phys. Rev. Lett. 122, 250603 (2019) [Crossref] -
De Luca et al., Entanglement front generated by an impurity traveling in an isolated many-body quantum system
Phys. Rev. B 101, 085139 (2020) [Crossref] -
Møller et al., Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
SciPost Phys. 8, 041 (2020) [Crossref] -
Coppola et al., Growth of entanglement entropy under local projective measurements
Phys. Rev. B 105, 094303 (2022) [Crossref] -
Goto et al., Information scrambling versus quantum revival through the lens of operator entanglement
J. High Energ. Phys. 2022, 100 (2022) [Crossref] -
Bastianello et al., Generalized Hydrodynamics with Space-Time Inhomogeneous Interactions
Phys. Rev. Lett. 123, 130602 (2019) [Crossref] -
Bianchi et al., Page curve for fermionic Gaussian states
Phys. Rev. B 103, L241118 (2021) [Crossref] -
Ghasemi et al., Odd entanglement entropy and logarithmic negativity for thermofield double states
J. High Energ. Phys. 2021, 128 (2021) [Crossref] -
Modak et al., Correlation and entanglement spreading in nested spin chains
J. Stat. Mech. 2019, 093106 (2019) [Crossref] -
Nie et al., Signature of quantum chaos in operator entanglement in 2d CFTs
J. Stat. Mech. 2019, 093107 (2019) [Crossref] -
Parez et al., Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
J. Stat. Mech. 2022, 053103 (2022) [Crossref] -
Alba, Unbounded entanglement production via a dissipative impurity
SciPost Phys. 12, 011 (2022) [Crossref] -
Mestyán et al., Rényi entropies of generic thermodynamic macrostates in integrable systems
J. Stat. Mech. 2018, 083104 (2018) [Crossref] -
Pizzi et al., Bridging the gap between classical and quantum many-body information dynamics
Phys. Rev. B 106, 214303 (2022) [Crossref] -
Castro-Alvaredo et al., Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach
J. High Energ. Phys. 2019, 79 (2019) [Crossref] -
Bertini et al., Entanglement Spreading in a Minimal Model of Maximal Many-Body Quantum Chaos
Phys. Rev. X 9, 021033 (2019) [Crossref] -
Reid et al., Entanglement barriers in dual-unitary circuits
Phys. Rev. B 104, 014301 (2021) [Crossref] -
Di Giulio et al., Subsystem complexity after a global quantum quench
J. High Energ. Phys. 2021, 22 (2021) [Crossref] -
Klobas et al., Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
SciPost Phys. 11, 107 (2021) [Crossref] -
Yin et al., Properties of ground state and quench dynamics of one-dimensional contact repulsive single-spin flipped Fermi gases
Acta Phys. Sin. 73, 020302 (2024) [Crossref] -
Murciano et al., Symmetry-resolved entanglement in fermionic systems with dissipation
J. Stat. Mech. 2023, 113102 (2023) [Crossref] -
Fehér et al., The propagator of the finite XXZ spin-$\tfrac{1}{2}$ chain
SciPost Phys. 6, 063 (2019) [Crossref] -
Pietraszewicz et al., Correlation evolution in dilute Bose-Einstein condensates after quantum quenches
Phys. Rev. A 99, 023620 (2019) [Crossref] -
Alba et al., Entanglement evolution and generalised hydrodynamics: interacting integrable systems
SciPost Phys. 7, 005 (2019) [Crossref] -
Alba et al., Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case
SciPost Phys. 15, 124 (2023) [Crossref] -
De Nardis et al., Diffusion in generalized hydrodynamics and quasiparticle scattering
SciPost Phys. 6, 049 (2019) [Crossref] -
Groha et al., Full counting statistics in the transverse field Ising chain
SciPost Phys. 4, 043 (2018) [Crossref] -
Alba et al., Quantum information scrambling after a quantum quench
Phys. Rev. B 100, 115150 (2019) [Crossref] -
Bañuls et al., Quantum information perspective on meson melting
Phys. Rev. D 108, 076016 (2023) [Crossref] -
Caceffo et al., Negative tripartite mutual information after quantum quenches in integrable systems
Phys. Rev. B 108, 134434 (2023) [Crossref] -
Lu et al., Entanglement transitions as a probe of quasiparticles and quantum thermalization
Phys. Rev. B 102, 235110 (2020) [Crossref] -
Schmitt et al., From observations to complexity of quantum states via unsupervised learning
Phys. Rev. B 106, L041110 (2022) [Crossref] -
Murciano et al., Postquantum Quench Growth of Renyi Entropies in Low-Dimensional Continuum Bosonic Systems
Phys. Rev. Lett. 129, 106802 (2022) [Crossref] -
Zhang et al., Crossover behaviors of entanglement dynamics at the critical point in XXZ spin chain
Results in Physics 57, 107417 107417 (2024) [Crossref] -
Najafi et al., Light-cone velocities after a global quench in a noninteracting model
Phys. Rev. B 97, 205103 (2018) [Crossref] -
Piroli et al., Thermodynamic symmetry resolved entanglement entropies in integrable systems
J. Stat. Mech. 2022, 073102 (2022) [Crossref] -
Shi, Bounds on Rényi entropy growth in many-body quantum systems
Phys. Rev. A 109, 042404 (2024) [Crossref] -
Lencses et al., Relaxation and entropy generation after quenching quantum spin chains
SciPost Phys. 9, 011 (2020) [Crossref] -
Fraenkel et al., Extensive long-range entanglement in a nonequilibrium steady state
SciPost Phys. 15, 134 (2023) [Crossref] -
Fabiani et al., Supermagnonic Propagation in Two-Dimensional Antiferromagnets
Phys. Rev. Lett. 127, 097202 (2021) [Crossref] -
Preisser et al., Comparing bipartite entropy growth in open-system matrix-product simulation methods
Phys. Rev. A 108, 012616 (2023) [Crossref] -
Rath et al., Entanglement Barrier and its Symmetry Resolution: Theory and Experimental Observation
PRX Quantum 4, 010318 (2023) [Crossref]
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- FP7 People: Marie-Curie Actions (FP7 People) (through Organization: European Commission [EC])