Many-body localization as a large family of localized ground states

Dupont, Maxime; Laflorencie, Nicolas

doi:10.1103/PhysRevB.99.020202

Title: Many-body localization as a large family of localized ground states

Journal Article · 15 January 2019 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.99.020202 · OSTI ID:1506401

Dupont, Maxime ^[1]; Laflorencie, Nicolas ^[2]

Université de Toulouse, CNRS, UPS (France); Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Université de Toulouse, CNRS, UPS (France)

Many-body localization (MBL) addresses the absence of thermalization in interacting quantum systems, with nonergodic high-energy eigenstates behaving as ground states, only area-law entangled. However, computing highly excited many-body eigenstates using exact methods is very challenging. Instead, we show that one can address high-energy MBL physics using ground-state methods, which are much more amenable to many efficient algorithms. Here, we find that a localized many-body ground state of a given interacting disordered Hamiltonian H₀ is a very good approximation for a high-energy eigenstate of a parent Hamiltonian, close to H₀ but more disordered. Lastly, this construction relies on computing the covariance matrix, easily achieved using density-matrix renormalization group for disordered Heisenberg chains up to L=256 sites.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1506401

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 2 Vol. 99; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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