Exact quantum scars in the chiral nonlinear Luttinger liquid

Schindler, Frank; Regnault, Nicolas; Bernevig, B. Andrei

doi:10.1103/physrevb.105.035146

Title: Exact quantum scars in the chiral nonlinear Luttinger liquid

Journal Article · 26 January 2022 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.105.035146 · OSTI ID:1979714

^[1];

^[2]; Bernevig, B. Andrei ^[3]

Princeton University, NJ (United States); OSTI
Princeton University, NJ (United States)
Princeton University, NJ (United States); Donostia International Physics Center, San Sebastian (Spain); Basque Foundation for Science, Bilbao (Spain)

While the chiral linear Luttinger liquid is integrable via bosonization, its nonlinear counterpart does not admit for an analytic solution. In this work, we find a subextensive number of exact eigenstates for a large family of density-density interaction terms. These states are embedded in a continuum of strongly correlated excited states. The real-space entanglement entropy of some exact states scales logarithmically with system size while that of others has volume-law scaling. We introduce momentum-space entanglement as an unambiguous differentiator between these exact states and the remaining excited states. With regard to momentum space, the exact states behave as bona fide quantum many-body scars: they exhibit identically zero momentum-space entanglement, while typical eigenstates behave thermally. We corroborate this finding by a level statistics analysis. Here we detail the general formalism for systematically finding all interaction terms and associated exact states, and present a number of infinite exact state sequences extending to arbitrarily high energies. Unlike many previous examples of quantum many-body scars, the exact states uncovered here do not lie at equidistant energies and do not follow from a special operator algebra. Instead, they are uniquely enabled by the interplay of Fermi statistics and chirality.

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Research Organization:: Princeton University, NJ (United States)

Sponsoring Organization:: BSF Israel US Foundation; European Research Council (ERC); European Unions Horizon 2020; Gordon and Betty Moore Foundation; John Simon Guggenheim Memorial Foundation; National Science Foundation (NSF); Office of Naval Research (ONR); Packard Foundation; Princeton Global Network Fund; Schmidt Fund for Innovative Research; USDOE Office of Science (SC)

OSTI ID:: 1979714

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 3 Vol. 105; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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