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Generally, the local interactions in a many-body quantum spin system on a lattice do not commute with each other.
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M. Rigol, V. Dunjko, and M. Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature
2008
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M. B. Hastings, “Quantum adiabatic computation with a constant gap is not useful in one dimension,” Phys. Rev. Lett
2009
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T. Barthel, U. Schollwöck, and S. R. White, “Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group,” Phys. Rev. B
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2013
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P. Richerme, Z.-X. Gong, A. Lee, C. Senko, J. Smith, M. Foss-Feig, S. Michalakis, A. V. Gorshkov, and C. Monroe, “Non-local propagation of correlations in quantum systems with long-range interactions,” Nature
2014
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M. B. Hastings and S. Michalakis, “Quantization of hall conductance for interacting electrons on a torus,” Communications in Mathematical Physics
2014
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J. Eisert, M. Friesdorf, and C. Gogolin, “Quantum many-body systems out of equilibrium,” Nature Physics
2015
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T. Benoist, V. Jakšić, A. Panati, Y. Pautrat, and C.-A. Pillet, “Full statistics of energy conservation in two-time measurement protocols,” Phys. Rev. E
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2015
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M. Müller, E. Adlam, L. Masanes, and N. Wiebe, “Thermalization and canonical typicality in translation-invariant quantum lattice systems,” Communications in Mathematical Physics
2015
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