Converting Long-Range Entanglement into Mixture: Tensor-Network Approach to Local Equilibration.

Autor: Frías-Pérez M; Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany.; Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, D-80799 München, Germany., Tagliacozzo L; Institute of Fundamental Physics IFF-CSIC, Calle Serrano 113b, 28006 Madrid, Spain., Bañuls MC; Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany.; Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, D-80799 München, Germany.
Jazyk: angličtina
Zdroj: Physical review letters [Phys Rev Lett] 2024 Mar 08; Vol. 132 (10), pp. 100402.
DOI: 10.1103/PhysRevLett.132.100402
Abstrakt: 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.
Databáze: MEDLINE