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      Eigenstate thermalization hypothesis in quantum dimer models

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      Data_DimerETH.zip (871.5Mb)
      Publication date
      2017-09-21
      Creators
      Lan, Zhihao
      Powell, Stephen
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      Description
      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-flip 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. The deposited data are exact diagonalization results for the expectation values of several local observables in the energy eigenstates.
      External URI
      • https://rdmc.nottingham.ac.uk/handle/internal/331
      DOI
      • http://doi.org/10.17639/nott.327
      Related publication DOI
      • 10.1103/PhysRevB.96.115140
      Subjects
      • Thermodynamics
      • Quantum systems
      • Dimers
      • Ergodic theory
      • Eigenvalues
      • eigenstate thermalization hypothesis; quantum dimer models; exact diagonalization
      • Physical sciences::Physics::Mathematical & theoretical physics
      • Q Science::QC Physics::QC170 Atomic physics. Constitution and properties of matter
      Divisions
      • University of Nottingham, UK Campus::Faculty of Science::School of Physics and Astronomy
      Deposit date
      2017-09-21
      Data type
      Results of exactly diagonalizing quantum dimer models on square and triangular lattices
      Funders
      • Engineering & Physical Sciences Research Council
      Grant number
      • EP/M019691/1
      Collection dates
      • 05.2016-04.2017
      Data collection method
      numerical exact diagonalization
      Resource languages
      • en
      Copyright
      • University of Nottingham
      Publisher
      University of Nottingham

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