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

Wu, Yantao

doi:10.1103/physrevb.101.014305

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

Journal Article · 21 January 2020 · Physical Review B

DOI: https://doi.org/10.1103/physrevb.101.014305 · OSTI ID:1803176

Wu, Yantao ^[1]

Princeton Univ., NJ (United States); OSTI

In this work, 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 .

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0017865

OSTI ID:: 1803176

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 1 Vol. 101; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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