Topological quantum chains protected by dipolar and other modulated symmetries

Han, Jung Hoon; Lake, Ethan; Lam, Ho Tat; Verresen, Ruben; You, Yizhi

doi:10.1103/physrevb.109.125121

Phys. Rev. B

2024

DOI: 10.1103/physrevb.109.125121

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Topological quantum chains protected by dipolar and other modulated symmetries

Jung Hoon Han,

Ethan Lake,

Ho Tat Lam

et al.

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2024

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Cited by 7 publications

References 85 publications

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From the quantum breakdown model to the lattice gauge theory

Hu,

Lian

2024

AAPPS Bull.

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The one-dimensional quantum breakdown model, which features spatially asymmetric fermionic interactions simulating the electrical breakdown phenomenon, exhibits an exponential U(1) symmetry and a variety of dynamical phases including many-body localization and quantum chaos with quantum scar states. We investigate the minimal quantum breakdown model with the minimal number of on-site fermion orbitals required for the interaction and identify a large number of local conserved charges in the model. We then reveal a mapping between the minimal quantum breakdown model in certain charge sectors and a quantum link model which simulates the U(1) lattice gauge theory and show that the local conserved charges map to the gauge symmetry generators. A special charge sector of the model further maps to the PXP model, which shows quantum many-body scars. This mapping unveils the rich dynamics in different Krylov subspaces characterized by different gauge configurations in the quantum breakdown model.

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From the quantum breakdown model to the lattice gauge theory

Hu,

Lian

2024

AAPPS Bull.

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Higher-order topological phase with subsystem symmetries

You

2024

New J. Phys.

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A wide variety of higher-order symmetry-protected topological phases (HOSPT) with gapless corners or hinges have been proposed as descendants of topological crystalline insulators protected by spatial symmetry. In this work, we address a new class of higher-order topological states that do not require crystalline symmetries but instead rely on subsystem symmetry for protection. We propose several strongly interacting models with gapless hinges or corners based on a decorated hinge-wall condensate picture. The hinge-wall, which appears as the defect configuration of a Z 2 paramagnet, is decorated with a lower-dimensional SPT state. Such a unique hinge-wall decoration structure leads to gapped surfaces separated by gapless hinges. The non-trivial nature of the hinge modes can be captured by a 1 + 1 D conformal field theory with a Wess–Zumino–Witten term. Moreover, we establish a no-go theorem to demonstrate the ungappable nature of the hinges by making a connection between the generalized Lieb–Schultz–Mattis theorem and the boundary anomaly of the HOSPT state. This universal correspondence engenders a comprehensive criterion to determine the existence of HOSPT under certain symmetries, regardless of the microscopic Hamiltonian.

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Dipolar background field theory and dipolar braiding statistics

Han

2024

Phys. Rev. B

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Topological quantum chains protected by dipolar and other modulated symmetries

Cited by 7 publications

References 85 publications

From the quantum breakdown model to the lattice gauge theory

From the quantum breakdown model to the lattice gauge theory

Higher-order topological phase with subsystem symmetries

Dipolar background field theory and dipolar braiding statistics

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