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20222026
most citedUniversal entanglement spectrum in gapless symmetry protected topological states

38 citations · 191 across the 20 of their papers we have counts for

collaborators

20 papers

cond-mat.str-el2026

Topological Tricritical Ising Universality Class in One Dimension

Sheng Yang, Hai-Qing Lin, Xue-Jia Yu

Quantum critical points can host symmetry-protected topological edge modes even when the bulk is gapless, giving rise to symmetry-enriched universality classes beyond the conventio…

cond-mat.stat-mech2026

Topological Quantum Criticality in Quasiperiodic Ising Chain

Sheng Yang, Hai-Qing Lin, Xue-Jia Yu

Topological classifications of quantum critical systems have recently attracted growing interest, as they go beyond the traditional paradigms of condensed matter and statistical ph…

cond-mat.str-el2025

Anomalous Dynamical Scaling at Topological Quantum Criticality

Menghua Deng, Sheng Yang, Chen Sun +2

We study the nonequilibrium driven dynamics at topologically nontrivial quantum critical points (QCPs), and find that topological edge modes at criticality give rise to anomalous d…

cond-mat.str-el2025★ 2 cited

Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems

Yuxuan Guo, Sheng Yang, Xue-Jia Yu

Topological phenomena in quantum critical systems have recently attracted growing attention, as they go beyond the traditional paradigms of condensed matter and statistical physics…

quant-ph2025★ 1 cited

PT symmetry-enriched non-unitary criticality

Kuang-Hung Chou, Xue-Jia Yu, Po-Yao Chang

The interplay between topology and quantum criticality has given rise to the notion of symmetry-enriched criticality, which has attracted considerable attention in recent years. In…

cond-mat.str-el2025★ 3 cited

Deconfined criticality as intrinsically gapless topological state in one dimension

Sheng Yang, Fu Xu, Da-Chuan Lu +3

Deconfined criticality and gapless topological states have recently attracted growing attention, as both phenomena go beyond the traditional Landau paradigm. However, the deep conn…

cond-mat.str-el2025★ 2 cited

Quantum Strong-to-Weak Spontaneous Symmetry Breaking in Decohered One Dimensional Critical States

Yuxuan Guo, Sheng Yang, Xue-Jia Yu

Symmetry breaking has been a central theme in classifying quantum phases and phase transitions. Recently, this concept has been extended to the mixed states of open systems, attrac…

cond-mat.str-el2025★ 11 cited

Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension

Wen-Hao Zhong, Hai-Qing Lin, Xue-Jia Yu

Quantum entanglement can be an effective diagnostic tool for probing topological phases protected by global symmetries. Recently, the notion of nontrivial topology in critical syst…

quant-ph2025★ 3 cited

Exploring nontrivial topology at quantum criticality in a superconducting processor

Ziqi Tan, Ke Wang, Sheng Yang +37

The discovery of nontrivial topology in quantum critical states has introduced a new paradigm for classifying quantum phase transitions and challenges the conventional belief that…

cond-mat.str-el2025★ 10 cited

Gapless Symmetry-Protected Topological States in Measurement-Only Circuits

Xue-Jia Yu, Sheng Yang, Shuo Liu +2

Measurement-only quantum circuits offer a versatile platform for realizing intriguing quantum phases of matter. However, gapless symmetry-protected topological (gSPT) states remain…

cond-mat.stat-mech2024★ 14 cited

Topological edge states at Floquet quantum criticality

Longwen Zhou, Jiangbin Gong, Xue-Jia Yu

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Bec…

cond-mat.str-el2024★ 20 cited

Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain

Sheng Yang, Hai-Qing Lin, Xue-Jia Yu

Topology in condensed matter physics is typically associated with a bulk energy gap. However, recent research has shifted focus to topological phases without a bulk energy gap, exh…

cond-mat.str-el2024★ 21 cited

Quantum phase transition and critical behavior between the gapless topological phases

Hao-Long Zhang, Han-Ze Li, Sheng Yang +1

The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention t…

cond-mat.str-el2024★ 18 cited

Topological edge modes and phase transition in the critical fermionic chain with long-range interaction

Wen-Hao Zhong, Wei-Lin Li, Yong-Chang Chen +1

The long-range interaction can fundamentally alter properties in gapped topological phases such as emergent massive edge modes. However, recent research has shifted attention to to…

cond-mat.str-el2024★ 19 cited

Quantum phase transition between topologically distinct quantum critical points

Xue-Jia Yu, Wei-Lin Li

By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse field Ising chains interpolated with cluster interactions, which exhibit various…

cond-mat.str-el2024★ 38 cited

Universal entanglement spectrum in gapless symmetry protected topological states

Xue-Jia Yu, Sheng Yang, Hai-Qing Lin +1

Quantum entanglement marks a definitive feature of topological states. However, the entanglement spectrum remains insufficiently explored for topological states without a bulk ener…

quant-ph2023★ 5 cited

Critical quantum geometric tensors of parametrically-driven nonlinear resonators

Hao-Long Zhang, Jia-Hao Lv, Ken Chen +4

Parametrically driven nonlinear resonators represent a building block for realizing fault-tolerant quantum computation and are useful for critical quantum sensing. From a fundament…

cond-mat.stat-mech2023★ 12 cited

Dynamical phase transition and scaling in the chiral clock Potts chain

Xue-Jia Yu

Based on time-dependent variational principle (TDVP) techniques, we investigate the dynamical critical behavior of quantum three-state Potts chains with chiral interactions. Using…

cond-mat.str-el2023★ 12 cited

Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition

Sheng Yang, Zhiming Pan, Da-Chuan Lu +1

Over the past few decades, tremendous efforts have been devoted to understanding self-duality at the quantum critical point, which enlarges the global symmetry and constrains the d…

math.NA2022

Decomposition and conformal mapping techniques for the quadrature of nearly singular integrals

William Mitchell, Abbie Natkin, Paige Robertson +3

Gauss-Legendre quadrature and the trapezoidal rule are powerful tools for numerical integration of analytic functions. For nearly singular problems, however, these standard methods…