Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session Z50: Quantum Many-Body Scars
11:30 AM–1:42 PM,
Friday, March 18, 2022
Room: McCormick Place W-474A
Sponsoring
Unit:
DCMP
Chair: Sanjay Moudgalya, Caltech
Abstract: Z50.00008 : Generalized η-pairing States in Extended SU(N) Hubbard Models*
12:54 PM–1:06 PM
Presenter:
Hironobu Yoshida
(Department of Physics, The University of Tokyo)
Authors:
Hironobu Yoshida
(Department of Physics, The University of Tokyo)
Hosho Katsura
(Department of Physics, The University of Tokyo)
Here we present N-particle generalizations of η-pairing states in a chain of SU(N) fermions and show that they are exact eigenstates of extended SU(N) Hubbard models [3]. When N is even, these states exhibit N-particle ODLRO. On the other hand, when N is odd, the correlation decays exponentially toward the other end of the chain but shows a revival at the other end. Finally, we prove that these states are the unique ground states of suitably tailored Hamiltonians.
[1] C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989).
[2] S. Taie, R. Yamazaki, S. Sugawa, and Y. Takahashi, Nat. Phys. 8, 825 (2012).
[3] H. Yoshida and H. Katsura, arXiv:2109.07010 (2021).
*JSPS Grant-in-Aid for Scientific Research on Innovative Areas: No. JP20H04630, JSPS KAKENHI Grant No. JP18K03445, and the Inamori Foundation.
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