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

References in corpus (8)

• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• General entanglement scaling laws from time evolution
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Spectroscopy of ultracold atoms by periodic lattice modulations
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Chaos and Complexity of quantum motion
• Quantum Ratchets for Quantum Communication with Optical Superlattices
• The manifestation of quantum resonances and antiresonances in a finite temperature dilute atomic gas

Cited by in corpus (5)

• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Quantum Quench from a Thermal Initial State
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Quantum quenches from integrability: the fermionic pairing model
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?