Bulletin of the American Physical Society
53rd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 67, Number 7
Monday–Friday, May 30–June 3 2022; Orlando, Florida
Session Q11: Quantum Gases in Optical Lattices I
8:00 AM–10:00 AM,
Thursday, June 2, 2022
Room: Grand Ballroom E
Chair: Julio Barreiro, UCSD
Abstract: Q11.00008 : Quantum criticality and universality in the $p$-wave paired Aubry-Andr\'{e}-Harper model*
9:24 AM–9:36 AM
Presenter:
Ting Lv
Author:
Ting Lv
for odd and even numbers of system sizes with a finite $\Delta$ cannot coincide irrespective of the value of $\phi$.
A thorough numerical analysis with odd number of system sizes reveals the correlation-length exponent $\nu $$\simeq$ 1.000 and the dynamical exponent $z$ $\simeq$ 1.388 for transitions from the critical phase to the localized phase, suggesting the unusual universality class of localization transitions in the AAH model with a finite $p$-wave superconducting pairing lies in a different universality class from the Aubry-Andr\'{e} transition. The results may be testified in near term state-of-the-art experimental settings.
*This work is supported by the National Natural Science Foundation of China (NSFC) under Grant No. 12174194, the startup fund of Nanjing University of Aeronautics and Astronautics under Grant No. 1008-YAH20006, Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (TAPP) and stable supports for basic institute research under Grant No. 190101.
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