Dynamically Induced Symmetry Breaking and Out-of-Equilibrium Topology in a 1D Quantum System

Reid, Graham; Lu, Mingwu; Fritsch, A. R.; Piñeiro, A. M.; Spielman, I. B.

doi:10.1103/physrevlett.129.123202

Phys. Rev. Lett.

2022

DOI: 10.1103/physrevlett.129.123202

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Dynamically Induced Symmetry Breaking and Out-of-Equilibrium Topology in a 1D Quantum System

Graham Reid

Mingwu Lu

A. R. Fritsch

et al.

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Cited by 6 publications

References 27 publications

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Utilizing lagging-phase analysis to identify topological phase transitions in 1D chains

Qiao

2024

Journal of Applied Physics

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The Zak phase serves as a reliable index for pinpointing topological phase transitions within one-dimensional chains, typically ascertained through numerical methods in complex situations. Nonetheless, in proximity to the transition threshold, the numerical Zak phase may become ambiguous. This ambiguity arises from the discrete nature of numerical approaches and the nonlinear relationship between the wave function's phase and the wave vector (k). In response, this paper presents an innovative method aimed at accurately determining the winding number, thereby facilitating the identification of topological phase transitions. Our approach hinges on analyzing the evolution of the phase difference between the projections of the Bloch wave function onto two distinct sublattices. We demonstrate the efficacy of this method through three illustrative examples: the Su–Schrieffer–Heeger model, a magnetic vortex chain, and a trimer lattice chain. The results indicate that our proposed numerical lagging-phase examination method achieves superior precision in identifying topological phase transitions, particularly at critical junctures, compared to the conventional numerical Zak phase approach.

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Utilizing lagging-phase analysis to identify topological phase transitions in 1D chains

Qiao

2024

Journal of Applied Physics

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Ultracold-molecule higher-order topological phases induced by long-range dipolar interactions in optical-tweezer lattices

Jiang,

Ji,

Mei

et al. 2024

Phys. Rev. A

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Topology in the space-time scaling limit of quantum dynamics

2023

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Dynamically Induced Symmetry Breaking and Out-of-Equilibrium Topology in a 1D Quantum System

Cited by 6 publications

References 27 publications

Utilizing lagging-phase analysis to identify topological phase transitions in 1D chains

Utilizing lagging-phase analysis to identify topological phase transitions in 1D chains

Ultracold-molecule higher-order topological phases induced by long-range dipolar interactions in optical-tweezer lattices

Topology in the space-time scaling limit of quantum dynamics

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