@article{Schindler:2022:10.1103/physrevb.105.035146,
author = {Schindler, F and Regnault, N and Bernevig, BA},
doi = {10.1103/physrevb.105.035146},
journal = {Physical Review B},
pages = {1--23},
title = {Exact quantum scars in the chiral nonlinear Luttinger liquid},
url = {http://dx.doi.org/10.1103/physrevb.105.035146},
volume = {105},
year = {2022}
}

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TY  - JOUR
AB  - 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. Furthermore, 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.
AU  - Schindler,F
AU  - Regnault,N
AU  - Bernevig,BA
DO  - 10.1103/physrevb.105.035146
EP  - 23
PY  - 2022///
SN  - 2469-9950
SP  - 1
TI  - Exact quantum scars in the chiral nonlinear Luttinger liquid
T2  - Physical Review B
UR  - http://dx.doi.org/10.1103/physrevb.105.035146
UR  - http://hdl.handle.net/10044/1/105869
VL  - 105
ER  - 

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