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

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.

5 pages, 4 figures. Published version; Supplemental Material and ancillary data added

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el)

arXiv:2308.04291 [quant-ph]

(or arXiv:2308.04291v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2308.04291 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Lett. 132, 100402 (2024)

https://doi.org/10.1103/PhysRevLett.132.100402 Focus to learn more DOI(s) linking to related resources

entropyDecayIntegrable/res_entropy_J1_1.0_J2_0.0_g_0.5_h_0.0.npy

entropyDecayIntegrable/res_entropy_J1_1.0_J2_0.0_g_1.0_h_0.0.npy

entropyDecayIntegrable/res_entropy_J1_1.0_J2_0.0_g_1.5_h_0.0.npy

entropyDecayIntegrable/res_entropy_J1_1.0_J2_0.0_g_2.0_h_0.0.npy

freeFermions/entanglementOptimization.py

freeFermions/initialStates/occupation_number.py

freeFermions/tools.py

truncationIntegrable/res_simple_trick_g2.0.npy

truncationIntegrable/res_tol_entropy0_g2_.npy

truncationIntegrable/res_tol_entropy10_g2_.npy

truncationIntegrable/res_tol_entropy15_g2_.npy

truncationIntegrable/res_tol_entropy20_g2_.npy

truncationIntegrable/res_tol_entropy25_g2_.npy

truncationIntegrable/res_tol_entropy30_g2_.npy

truncationIntegrable/res_tol_entropy5_g2_.npy

truncationNonIntegrable/Results/res_tol_entropy_0_J2_0.1_.npy

truncationNonIntegrable/Results/res_tol_entropy_20_J2_0.1_.npy

truncationNonIntegrable/Results/res_tol_entropy_25_J2_0.1_.npy

truncationNonIntegrable/Results/res_tol_entropy_30_J2_0.1_.npy

(250 additional files not shown) You must enabled JavaScript to view entire file list.

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.