Ergodicity breaking in a Bose-Hubbard trimer with disorder

Authors

Robert Diel L. Abdao ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jayson G. Cosme ⋅ PH National Institute of Physics, University of the Philippines Diliman https://orcid.org/0000-0001-9943-4711

Abstract

We explore quantum ergodicity and its breakdown in a system of bosons in an optical lattice with disorder. Specifically, we study a one-dimensional three-site lattice using the Bose-Hubbard model. We characterize integrability using statistics on the eigenstate energy distribution. We investigate ergodicity in the context of the eigenstate thermalization hypothesis (ETH). We find that for weak disorder, the system is ergodic and thermalization is present. Interestingly, at sufficiently strong disorder, ergodicity in the system is broken and the system fails to thermalize.

About the Speakers

Robert Diel L. Abdao, National Institute of Physics, University of the Philippines Diliman

Student of Bachelor of Science in Applied Physics, University of the Philippines Diliman

Jayson G. Cosme, National Institute of Physics, University of the Philippines Diliman

Associate Professor in National Institute of Physics, University of the Philippines Diliman

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Issue

2022: Proceedings of the 40th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2022-PB-01

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)

Published

2022-09-09

How to Cite

[1]

RDL Abdao and JG Cosme, Ergodicity breaking in a Bose-Hubbard trimer with disorder, Proceedings of the Samahang Pisika ng Pilipinas 40, SPP-2022-PB-01 (2022). URL: https://proceedings.spp-online.org/article/view/SPP-2022-PB-01.