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

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Frías Pérez,  Miguel
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Bañuls,  Mari Carmen
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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2308.04291v1.pdf
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Citation

Frías Pérez, M., Tagliacozzo, L., & Bañuls, M. C. (2024). Converting long-range entanglement into mixture: tensor-network approach to local equilibration. Physical Review Letters, 132: 100402. doi:10.1103/PhysRevLett.132.100402.


Cite as: https://hdl.handle.net/21.11116/0000-000D-C26E-D
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.