Nonequilibrium renormalization group fixed points of the quantum clock chain and the quantum Potts chain

2019/06/30 by Yantao Wu · 1 citation
Mathematics · Physics and Astronomy · #Fixed point #Mathematical analysis #Mathematical physics #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum #Quantum many-body systems #Quantum mechanics #Recursion (computer science) #Renormalization group #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.101.014305

published as Phys. Rev. B 101, 014305 (2020) · arXiv admin note: text overlap with arXiv:1908.04476

openalex created_date 2019/06/27 · openalex publication_date 2020/01/22 · arxiv created 2020/10/05 · arxiv updated 2020/10/08 · openalex updated_date 2026/08/05

Abstract

We derive an exact renormalization group recursion relation for the Loschmidt amplitude of the quantum Q-state clock model and the quantum Q-state Potts model in one dimension. The renormalization group flow is discussed in detail. The fixed points of the renormalization group flow are found to be complex in general. These fixed points control the dynamical phases of the two models, giving rise to nonanalyticities in its Loschmidt rate function, for both the pure and the disordered system. For the quench protocols studied, dynamical quantum phase transitions are found to occur in the clock model for all Qs considered, while in the Potts model, they only occur when Q<4.

Citations

• Dynamical Quantum Phase Transition of the Quantum N-state Potts Chain with Quenched Disorder
• Renormalization-Group Approach to the Critical Behavior of Random-Spin Models
• Dynamical Quantum Phase Transitions in Systems with Broken-Symmetry Phases
• Effect of random defects on the critical behaviour of Ising models
• Dynamical quantum phase transitions: a review

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• Dynamical quantum phase transition from a critical quantum quench