2021/10/13 by Niall Robertson, Niall F. Robertson, Jacopo Surace +1 · 1 voice
Mathematics · Physics and Astronomy · #Chiral Potts curve #Conformal field theory #Conformal map #Critical point (mathematics) #Ising model #Lattice (music) #Mathematics #Matrix product state #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevb.105.195103
arxiv published 2021/10/13 · arxiv updated 2021/10/13 · openalex publication_date 2022/05/04 · openalex created_date 2022/05/08 · openalex updated_date 2026/08/01
Conformal field theories (CFTs) have been used extensively to understand the physics of critical lattice models at equilibrium. However, the applicability of CFT calculations to the behavior of the lattice systems in the out-of-equilibrium setting is not entirely understood. In this work, we compare the CFT results of the evolution of the entanglement spectrum after a quantum quench with numerical calculations of the entanglement spectrum of the three-state Potts model using matrix product state simulations. Our results lead us to conjecture that CFT does not describe the entanglement spectrum of the three-state Potts model at long times, contrary to what happens in the Ising model. We thus numerically simulate the out-of-equilibrium behavior of the Potts model according to the CFT protocol, i.e., by taking a particular product state and ``cooling'' it, then quenching to the critical point and finding that, in this case, the entanglement spectrum is indeed described by the CFT at long times.