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Eigenstate thermalization hypothesis in quantum dimer models

Lan, Zhihao; Powell, Stephen


Zhihao Lan


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.


Lan, Z., & Powell, S. (in press). Eigenstate thermalization hypothesis in quantum dimer models. Physical Review B, 96(11),

Journal Article Type Article
Acceptance Date Sep 7, 2017
Online Publication Date Sep 21, 2017
Deposit Date Sep 11, 2017
Publicly Available Date Sep 21, 2017
Journal Physical Review B
Print ISSN 2469-9950
Electronic ISSN 2469-9969
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 11
Public URL
Publisher URL
Related Public URLs
Additional Information © American Physical Society


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