26 citations · 62 across the 16 of their papers we have counts for
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Classification of Thouless pumps with non-invertible symmetries and implications for Floquet phases
Yabo Li, Matteo Dell'acqua, Aditi Mitra
We study symmetry preserving adiabatic and Floquet dynamics of one-dimensional systems. Using quasiadiabatic evolution, we establish a correspondence between adiabatic cycles and i…
Non-invertible symmetries out of equilibrium: Eigenstate order and Floquet physics
Yabo Li, Aditi Mitra
Through the study of the Rep() non-invertible symmetry, we show how non-invertible symmetries manifest in dynamics. Results are presented for dynamics generated by Hamiltonian…
Higher-order topological phases protected by noninvertible and subsystem symmetries
Aswin Parayil Mana, Yabo Li, Hiroki Sukeno +1
Higher-order topological phases with invertible symmetries have been extensively studied in recent years, revealing gapless modes localized on boundaries of higher codimension. In…
Non-onsite symmetry breaking: topological phase coexistence and criticality
Zhehao Zhang, Yabo Li, Tsung-Cheng Lu
We explore the states of matter arising from the spontaneous symmetry breaking (SSB) of non-onsite symmetries. In one spatial dimension, we construct a frustration-f…
Non-invertible SPT, gauging and symmetry fractionalization
Yabo Li, Mikhail Litvinov
We explicitly realize the Rep() non-invertible symmetry-protected topological (SPT) state as a 1+1d cluster state on a tensor product Hilbert space of qubits. Using the Kramer…
Kennedy-Tasaki transformation and non-invertible symmetry in lattice models beyond one dimension
Aswin Parayil Mana, Yabo Li, Hiroki Sukeno +1
We give an explicit operator representation (via a sequential circuit and projection to symmetry subspaces) of Kramers-Wannier duality transformation in higher-dimensional subsyste…
Measuring Topological Field Theories: Lattice Models and Field-Theoretic Description
Yabo Li, Mikhail Litvinov, Tzu-Chieh Wei
Recent years have witnessed a surge of interest in performing measurements within topological phases of matter, e.g., symmetry-protected topological (SPT) phases and topological or…