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Eigenstate thermalization in spin-$\frac{1}{2}$ systems with SU(2) symmetry
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abstract
We study the diagonal and off-diagonal matrix elements of observables in the eigenstates of the extended spin-$\frac{1}{2}$ Heisenberg chain, which exhibits the non-Abelian SU(2) symmetry. We explore integrable and nonintegrable regimes, and consider observables that preserve the SU(2) symmetry of the Hamiltonian as well as observables that break it. We study in detail the low-frequency behavior of the off-diagonal matrix elements at and away from integrability. In the nonintegrable regime, we test the non-Abelian eigenstate thermalization hypothesis, paying special attention to the effect of the spin, which is the distinctive conserved quantity introduced by the SU(2) symmetry.
Forward citations
Cited by 2 Pith papers
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Eigenstate Thermalization Hypothesis with projective representation
For systems with projective symmetry representations, the paper proposes a modified ETH and shows that charged operators with symmetry-supplied charges thermalize to a generalized Gibbs ensemble, not the ordinary Gibb...
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Quantum thermalization mechanism and the emergence of symmetry-breaking phases
For degenerate spectra, thermalization of all initial states is equivalent to two conditions on observable averages inside each degenerate subspace; failure of the second condition marks symmetry-breaking equilibrium states.
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