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Abstract
We consider a quench in a freefermion chain by joining two homogeneous halfchains via a defect. The time evolution of the entanglement negativity is studied between adjacent segments surrounding the defect. In case of equal initial fillings, the negativity grows logarithmically in time and essentially equals onehalf of the Rényi mutual information with index α = 1/2 in the limit of large segments. In sharp contrast, in the biased case one finds a linear increase followed by the saturation at an extensive value for both quantities, which is due to the backscattering from the defect and can be reproduced in a quasiparticle picture. Furthermore, a closer inspection of the subleading corrections reveals that the negativity and the mutual information have a small but finite difference in the steady state. Finally, we also study a similar quench in the XXZ spin chain via densitymatrix renormalization group methods and compare the results for the negativity to the fermionic case.
Original language  English 

Article number  205301 
Number of pages  27 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  53 
Issue number  20 
DOIs  
Publication status  Published  28 Apr 2020 
Keywords
 classical model
 Quantum adiabatic algorithms
 shortcuts to adiabaticity
ASJC Scopus subject areas
 Physics and Astronomy(all)
 Statistical and Nonlinear Physics
 Statistics and Probability
 Mathematical Physics
 Modelling and Simulation
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 1 Finished

FWFVerschränkungen  Quantum fronts and entaglement driven by inhomogeneities
1/09/17 → 31/07/21
Project: Research project