Absence of temporal order in states with spatial correlation decay

Yichen Huang

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arXiv · 1912.01210

Absence of temporal order in states with spatial correlation decay

Yichen Huang

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Abstract

In quantum lattice systems, we prove that any stationary state with power-law (or even exponential) decay of spatial correlations has vanishing macroscopic temporal order in the thermodynamic limit. Assuming translational invariance, we obtain a similar bound on the temporal order between local operators at late times. Our proofs do not require any locality of the Hamiltonian. Applications in quantum time crystals are briefly discussed.

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Yichen Huang. 2019-12-03. Absence of temporal order in states with spatial correlation decay. https://arxiv.org/abs/1912.01210

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