η-pairing in Hubbard models: From spectrum generating algebras to quantum many-body scars

Moudgalya, Sanjay; Regnault, Nicolas; Bernevig, B. Andrei

doi:10.1103/physrevb.102.085140

η-pairing in Hubbard models: From spectrum generating algebras to quantum many-body scars

Journal Article · Thu Aug 20 00:00:00 EDT 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.085140· OSTI ID:1802875

Moudgalya, Sanjay ^[1]; Regnault, Nicolas ^[2]; Bernevig, B. Andrei ^[3]

Princeton Univ., NJ (United States); OSTI
Princeton Univ., NJ (United States); Ecole Normale Supérieure (ENS), Paris (France); Université PSL, Paris (France); Centre National de la Recherche Scientifique (CNRS), Paris (France); Sorbonne Univ., Paris (France); Université Paris-Diderot (France); Sorbonne Paris Cité (France)
Princeton Univ., NJ (United States)

In this work, we revisit the η-pairing states in Hubbard models and explore their connections to quantum many-body scars to discover a universal scars mechanism. η-pairing occurs due to an algebraic structure known as a spectrum generating algebra (SGA), giving rise to equally spaced towers of eigenstates in the spectrum. We generalize the original η-pairing construction and show that several Hubbard-like models on arbitrary graphs exhibit SGAs, including ones with disorder and spin-orbit coupling. We further define a restricted spectrum generating algebra (RSGA) and give examples of perturbations to the Hubbard-like models that preserve an equally spaced tower of the original model as eigenstates. The states of the surviving tower exhibit a subthermal entanglement entropy, and we analytically obtain parameter regimes for which they lie in the bulk of the spectrum, showing that they are exact quantum many-body scars. The RSGA framework also explains the equally spaced towers of eigenstates in several well-known models of quantum scars, including the Affleck-Kennedy-Lieb-Tasaki model.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Packard Foundation; National Science Foundation (NSF); United States-Israel Binational Science Foundation (BSF); US Department of the Navy, Office of Naval Research (ONR); Gordon and Betty Moore Foundation

Grant/Contract Number:: SC0016239

OSTI ID:: 1802875

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 8 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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