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  Converting long-range entanglement into mixture: tensor-network approach to local equilibration

Frías Pérez, M., Tagliacozzo, L., & Bañuls, M. C. (submitted). Converting long-range entanglement into mixture: tensor-network approach to local equilibration.

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Genre: Preprint
Other : Preprint arXiv: 2308.04291v1 Submitted on 8 Aug 2023

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2308.04291v1.pdf (Preprint), 2MB
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 Creators:
Frías Pérez, Miguel1, 2, Author           
Tagliacozzo, Luca, Author
Bañuls, Mari Carmen1, 2, Author           
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              

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Free keywords: Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el
 Abstract: In the out-of-equilibrium evolution induced by a quench, fast degrees of
freedom generate long-range entanglement that is hard to encode with standard
tensor networks. However, local observables only sense such long-range
correlations through their contribution to the reduced local state as a
mixture. We present a tensor network method that identifies such long-range
entanglement and efficiently transforms it into mixture, much easier to
represent. In this way, we obtain an effective description of the time-evolved
state as a density matrix that captures the long-time behavior of local
operators with finite computational resources.

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Language(s): eng - English
 Dates: 2023-08-08
 Publication Status: Submitted
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2308.04291v1
 Degree: -

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Project name : -
Grant ID : -
Funding program : Germany’s Ex- cellence Strategy – EXC-2111 – 390814868; 499180199
Funding organization : Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
Project name : EU-QUANTERA project TNiSQ (BA 6059/1-1)
Grant ID : -
Funding program : -
Funding organization : European Commission (EC)

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