



@article {2364,
	title = {Circuit Complexity across a Topological Phase Transition},
	journal = {Physical Review Research },
	volume = {2},
	year = {2020},
	month = {03/16/2020},
	pages = {013323},
	abstract = {<p>We use Nielsen\&$\#$39;s approach to quantify the circuit complexity in the one-dimensional Kitaev model. In equilibrium, we find that the circuit complexity of ground states exhibits a divergent derivative at the critical point, signaling the presence of a topological phase transition. Out of equilibrium, we study the complexity dynamics after a sudden quench, and find that the steady-state complexity exhibits nonanalytical behavior when quenched across critical points. We generalize our results to the long-range interacting case, and demonstrate that the circuit complexity correctly predicts the critical point between regions with different semi-integer topological numbers. Our results establish a connection between circuit complexity and quantum phase transitions both in and out of equilibrium, and can be easily generalized to topological phase transitions in higher dimensions. Our study opens a new avenue to using circuit complexity as a novel quantity to understand many-body systems.</p>},
	doi = {https://doi.org/10.1103/PhysRevResearch.2.013323},
	url = {https://arxiv.org/abs/1902.10720},
	author = {Fangli Liu and Rex Lundgren and Paraj Titum and James R. Garrison and Alexey V. Gorshkov}
}
