Absence of temporal order in states with spatial correlation decay
Statistical Mechanics
2019-12-12 v2 Quantum Physics
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.
Keywords
Cite
@article{arxiv.1912.01210,
title = {Absence of temporal order in states with spatial correlation decay},
author = {Yichen Huang},
journal= {arXiv preprint arXiv:1912.01210},
year = {2019}
}
Comments
v2: very minor extension of the results in v1