Entanglement in a periodic quench

Abstract

We consider a chain of free electrons with periodically switched dimerization and study the entanglement entropy of a segment with the remainder of the system. We show that it evolves in a stepwise manner towards a value proportional to the length of the segment and displays in general slow oscillations. For particular quench periods and full dimerization an explicit solution is given. Relations to equilibrium lattice models are pointed out.

19 pages, 12 figures, 5 references added

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Cited by in corpus (61)

• Entanglement entropy and conformal field theory
• Reduced density matrices and entanglement entropy in free lattice models
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Quantum quenches in 1+1 dimensional conformal field theories
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Holographic Evolution of Entanglement Entropy
• Entanglement dynamics after quantum quenches in generic integrable systems
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Entanglement entropy of excited states
• Quantum Quench from a Thermal Initial State
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• Quantum quenches from integrability: the fermionic pairing model
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Entanglement and quantum transport in integrable systems
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
• Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
• Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
• Entanglement spreading in non-equilibrium integrable systems
• Entanglement generation in periodically driven integrable systems: dynamical phase transitions and steady state
• Bethe Ansatz approach to quench dynamics in the Richardson model
• Entanglement production in bosonic systems: Linear and logarithmic growth
• Rényi entropies after releasing the Néel state in the XXZ spin-chain
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Exact solution for the quench dynamics of a nested integrable system
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Entanglement revivals as a probe of scrambling in finite quantum systems
• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata
• Growth of mutual information in a quenched one-dimensional open quantum many body system
• Entanglement and diagonal entropies after a quench with no pair structure
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Multipartite entanglement after a quantum quench
• Dynamical manifestation of Gibbs paradox after a quantum quench
• Many-body dynamical phase transition in quasi-periodic potential
• Time evolution of entanglement negativity across a defect
• Entanglement entropy in a periodically driven Ising chain
• Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Non-equilibrium steady state in a periodically driven Kondo model
• Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement
• Entanglement spreading and quasiparticle picture beyond the pair structure
• Entanglement entropy in a periodically driven quantum Ising chain
• Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
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• Exact results for nonlinear ac-transport through a resonant level model
• Bubble quenches in the AdS/BCFT model