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pro vyhledávání: '"Li, Linhao"'
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 generate new lattice non-invertible transformations/symmetries from a give
Externí odkaz:
http://arxiv.org/abs/2406.05454
Autor:
Yan, Han, Li, Linhao
We present the Bilinear Phase Map (BPM), a concept that extends the Kramers-Wannier (KW) transformation to investigate unconventional gapped phases, their dualities, and phase transitions. Defined by a matrix of $\mathbb{Z}_2$ elements, the BPM not o
Externí odkaz:
http://arxiv.org/abs/2403.16017
Autor:
Wang, Zijian, Li, Linhao
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 systems manifest as either strong or weak type. By representing their s
Externí odkaz:
http://arxiv.org/abs/2403.14533
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 spectrum robustness,we propose that a half-integer spin chain which respect
Externí odkaz:
http://arxiv.org/abs/2307.09843
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, and was generalized in our proceeding work [L. Li et al. arXiv:2301.0789
Externí odkaz:
http://arxiv.org/abs/2307.04788
In this letter, we propose and study a ladder triangular cluster model which possesses a $\mathbb{Z}_2$ symmetry and an anti-unitary $\mathbb{Z}^{\mathbb{T}}_2$ symmetry generated by the spin-flip and complex conjugation, respectively. The phase diag
Externí odkaz:
http://arxiv.org/abs/2306.11446
Publikováno v:
SciPost Phys. 15, 155 (2023)
We explore non-invertible symmetries in two-dimensional lattice models with subsystem $\mathbb Z_2$ symmetry. We introduce a subsystem $\mathbb Z_2$-gauging procedure, called the subsystem Kramers-Wannier transformation, which generalizes the ordinar
Externí odkaz:
http://arxiv.org/abs/2304.09886
Publikováno v:
Phys. Rev. B 108, 214429 (2023)
In 1992, Kennedy and Tasaki constructed a non-local unitary transformation that maps between a $\mathbb{Z}_2\times \mathbb{Z}_2$ spontaneously symmetry breaking phase and the Haldane gap phase, which is a prototypical Symmetry-Protected Topological p
Externí odkaz:
http://arxiv.org/abs/2301.07899
Autor:
Li, Linhao, Yao, Yuan
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 geometric explanation of the criticality of these self-dual models. More
Externí odkaz:
http://arxiv.org/abs/2209.13450
Autor:
Wu, Zhengzhi, Li, Linhao
Nonlinear $\sigma$ 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 Landau paradigm. These critical systems include the deconfined q
Externí odkaz:
http://arxiv.org/abs/2208.10518