scholarly journals Average eigenstate entanglement entropy of the XY chain in a transverse field and its universality for translationally invariant quadratic fermionic models

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
Lucas Hackl ◽  
Lev Vidmar ◽  
Marcos Rigol ◽  
Eugenio Bianchi
Keyword(s):  
Entanglement Entropy ◽  
Transverse Field ◽  
Xy Chain

The size effect of the quantum coherence in the transverse-field XY chain

2016 ◽  
Vol 503 ◽  
pp. 121-125 ◽  
Author(s):  
Lu Wang ◽  
Cui-hong Yang ◽  
Jun-feng Wang ◽  
Shu-guo Lei
Keyword(s):  
Size Effect ◽  
Quantum Coherence ◽  
Transverse Field ◽  
Xy Chain

scholarly journals Fidelity and entanglement entropy in the one-dimensional transverse-field quantum compass model

2013 ◽  
Vol 88 (1) ◽  
pp. 015003 ◽  
Author(s):  
Mostafa Motamedifar ◽  
Saeed Mahdavifar ◽  
Saber Farjami Shayesteh ◽  
Somayyeh Nemati
Keyword(s):  
Entanglement Entropy ◽  
Transverse Field ◽  
One Dimensional ◽  
The One

scholarly journals Spreading of entanglement and correlations after a quench with intertwined quasiparticles

2018 ◽  
Vol 5 (4) ◽  
Author(s):  
Alvise Bastianello ◽  
Pasquale Calabrese
Keyword(s):  
Entanglement Entropy ◽  
Scaling Limit ◽  
Lattice Models ◽  
Transverse Field ◽  
Ising Chain ◽  
Perfect Agreement ◽  
Pair Correlations ◽  
Hamiltonian Parameter ◽  
Time Scaling ◽  
Quantum Quenches

We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for example, relevant in inhomogeneous lattice models with a periodically-modulated Hamiltonian parameter. We provide explicit predictions for the spreading of the entanglement entropy in the space-time scaling limit. We also predict the time evolution of one- and two-point functions of the order parameter for quenches within the ordered phase. We test all our predictions against exact numerical results for quenches in the Ising chain with a modulated transverse field and we find perfect agreement.

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