Eigenstate thermalization hypothesis in quantum dimer models

Lan, Zhihao and Powell, Stephen (2017) Eigenstate thermalization hypothesis in quantum dimer models. Physical Review B, 96 (11). p. 115140. ISSN 2469-9969

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Abstract

We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-ip dynamics, the Hilbert space, which consists of highly constrained close-packed dimer configurations, splits into sectors characterized by topological invariants. We show that this has important consequences for ETH: We find that ETH is clearly satisfied only when each topological sector is treated separately, and only for moderate ratios of the potential and kinetic terms in the Hamiltonian. By contrast, when the spectrum is treated as a whole, ETH breaks down on the square lattice, and apparently also on the triangular lattice. These results demonstrate that quantum dimer models have interesting thermalization dynamics that has not previously been studied.

Item Type: Article
Additional Information: © American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: 10.1103/PhysRevB.96.115140
Related URLs:
Depositing User: Eprints, Support
Date Deposited: 11 Sep 2017 08:21
Last Modified: 22 Sep 2017 19:24
URI: http://eprints.nottingham.ac.uk/id/eprint/45683

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