79 citations · 331 across the 22 of their papers we have counts for
23 papers
Decohering Kitaev's Sixteenfold Way: A Holographic Approach
Shuyu Zhang, Linhao Li, Zhen Bi +2
We study anyon decoherence in 2D topological order, with the fermion decoherence in Kitaev's sixteenfold way as explicit examples. The sixteenfold way includes chiral topological p…
Symmetry-Enforced Topological Structures in Quantum Phase Diagrams
Linhao Li, Yuan Yao
We study the topological structure of the quantum phase diagram of gapped systems by identifying the noncontractibility of loops, so-called -families, within the gapped phase…
Gaplessness indicator by topologically trivial twisting operators
Yuan Yao, Linhao Li, Feng-Feng Song
We propose several general necessary conditions for quantum many-body system in one dimension respecting U(1) symmetry to be gapped. We show that the ground-state expectation value…
Mixed-State Topological Phase: Quantized Topological Order Parameter and Lieb-Schultz-Mattis Theorem
Linhao Li, Yuan Yao
We investigate the extension of pure-state symmetry protected topological phases to mixed-state regime with a strong U(1) and a weak symmetries in one-dimensional sp…
Generalized symmetry-protected topological phases in mixed states from gauging dualities
Linhao Li, Zhen Bi, Weiguang Cao
Decoherence in realistic quantum platforms motivates a mixed-state notion of topological phases of matter, including average symmetry-protected topological (ASPT) phases. Alongside…
Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond
Amogh Anakru, Linhao Li, Sarvesh Srinivasan +1
Matrix product states (MPS) provide a powerful framework for characterizing one-dimensional symmetry-protected topological (SPT) phases of matter and for formulating Lieb-Schultz-M…
Exact Quantum Many-Body Scars in 2D Quantum Gauge Models
Yuan Miao, Linhao Li, Hosho Katsura +1
Quantum many-body scars (QMBS) serve as important examples of ergodicity-breaking phenomena in quantum many-body systems. Despite recent extensive studies, exact QMBS are rare in d…
Duality viewpoint of noninvertible symmetry protected topological phases
Weiguang Cao, Masahito Yamazaki, Linhao Li
Recent advancements in generalized symmetries have drawn significant attention to gapped phases of matter exhibiting novel symmetries, such as noninvertible symmetries. By leveragi…
Noninvertible Symmetry-Enriched Quantum Critical Point
Linhao Li, Rui-Zhen Huang, Weiguang Cao
Noninvertible symmetry generalizes traditional group symmetries, advancing our understanding of quantum matter, especially one-dimensional gapped quantum systems. In critical latti…
Generating Lattice Non-invertible Symmetries
Weiguang Cao, Linhao Li, Masahito Yamazaki
Lattice non-invertible symmetries have rich fusion structures and play important roles in understanding various exotic topological phases. In this paper, we explore methods to gene…
Generalized Kramers-Wannier Duality from Bilinear Phase Map
Linhao Li, Masaki Oshikawa, Han Yan
We present the bilinear phase map (BPM), a concept that generalizes the Kramers-Wannier (KW) transformation to investigate unconventional gapped phases of qudit spin chains. Encodi…
Anomaly in open quantum systems and its implications on mixed-state quantum phases
Zijian Wang, Linhao Li
In this paper, we develop a systematic approach to characterize the 't Hooft anomaly in open quantum systems. Owing to nontrivial couplings to the environment, symmetries in such s…
Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
Linhao Li, Masaki Oshikawa, Yunqin Zheng
The Kennedy-Tasaki (KT) transformation was used to construct the gapped symmetry protected topological (SPT) phase from the symmetry breaking phase with open boundary condition, an…
Lieb-Schultz-Mattis Theorem for 1D Quantum Magnets with Antiunitary Translation and Inversion Symmetries
Yuan Yao, Linhao Li, Masaki Oshikawa +1
We study quantum many-body systems in the presence of an exotic antiunitary translation or inversion symmetry involving time reversal. Based on a symmetry-twisting method and spect…
Stability and fine structure of symmetry-enriched quantum criticality in a spin ladder triangular model
Xiao Wang, Linhao Li, Jianda Wu
In this letter, we propose and study a ladder triangular cluster model which possesses a symmetry and an anti-unitary symmetry generated…
Subsystem Non-Invertible Symmetry Operators and Defects
Weiguang Cao, Linhao Li, Masahito Yamazaki +1
We explore non-invertible symmetries in two-dimensional lattice models with subsystem symmetry. We introduce a subsystem -gauging procedure, called the s…
Non-Invertible Duality Transformation Between SPT and SSB Phases
Linhao Li, Masaki Oshikawa, Yunqin Zheng
In 1992, Kennedy and Tasaki constructed a non-local unitary transformation that maps between a spontaneously symmetry breaking phase and the Halda…
Dual topological nonlinear sigma models of theory by dimensional reduction and monopole operators
Zhengzhi Wu, Linhao Li
Nonlinear models (NLSM) with topological terms, i.e., Wess-Zumino-Witten (WZW) terms, or topological NLSM, are potent descriptions of many critical points and phases beyond the…
Duality viewpoint of criticality
Linhao Li, Yuan Yao
In this work, we study quantum many-body systems which are self-dual under duality transformation connecting different symmetry protected topological (SPT) phases. We provide a geo…
Boundary conditions and anomalies of conformal field theories in 1+1 dimensions
Linhao Li, Chang-Tse Hsieh, Yuan Yao +1
We study a relationship between conformally invariant boundary conditions and anomalies of conformal field theories (CFTs) in 1+1 dimensions. For a given CFT with a global symmetry…
Decorated Defect Construction of Gapless-SPT States
Linhao Li, Masaki Oshikawa, Yunqin Zheng
Symmetry protected topological (SPT) phases are one of the simplest, yet nontrivial, gapped systems that go beyond the Landau paradigm. In this work, we study an extension of the n…
Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains
Hong Yang, Linhao Li, Kouichi Okunishi +1
In quantum spin-1 chains, there is a nonlocal unitary transformation known as the Kennedy-Tasaki transformation , which defines a duality between the Haldane phase a…
Fracton Topological Order at Finite Temperature
Xiaoyang Shen, Zhengzhi Wu, Linhao Li +2
As new kinds of stabilizer code models, fracton models have been promising in realizing quantum memory or quantum hard drives. However, it has been shown that the fracton topologic…