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We present simple lattice realizations of symmetry-protected topological (SPT) phases with $q$-form global symmetries where charged excitations have $q$ spatial dimensions. Specifically, we construct $d$ space-dimensional models supported…

Strongly Correlated Electrons · Physics 2016-04-20 Beni Yoshida

Simulating the topological phases of matter in synthetic quantum simulators is a topic of considerable interest. Given the universality of digital quantum simulators, the prospect of digitally simulating exotic topological phases is greatly…

Quantum Physics · Physics 2020-10-21 Feng Mei , Qihao Guo , Ya-Fei Yu , Liantuan Xiao , Shi-Liang Zhu , Suotang Jia

Programmable quantum simulators such as superconducting quantum processors and ultracold atomic lattices represent rapidly developing emergent technology that may one day qualitatively outperform existing classical computers. Yet, apart…

Strongly Correlated Electrons · Physics 2025-03-11 Jin Ming Koh , Tommy Tai , Ching Hua Lee

Phase transitions are a fundamental concept in science describing diverse phenomena ranging from, e.g., the freezing of water to Bose-Einstein condensation. While the concept is well-established in equilibrium, similarly fundamental…

We study the ground state phase diagram of a one-dimensional two qubits Dicke-Hubbard model with XY qubit-qubit interaction. We use a numerical method combing the cluster mean-field theory and the matrix product state(MPS) to obtain the…

Quantum Physics · Physics 2022-10-12 Shu He , Li-Wei Duan , Yan-Zhi Wang , Chen Wang , Qing-Hu Chen

The interplay of topology and correlations defines a new playground to study boundary criticality in quantum systems. We employ large scale auxiliary field quantum Monte Carlo simulations to study a two-dimensional Kane-Mele-Hubbard model…

Strongly Correlated Electrons · Physics 2025-08-05 Francesco Parisen Toldin , Fakher F. Assaad , Max A. Metlitski

A potential phase transition between a normal ground state and a photon-condensed ground state in many-dipole light-matter systems is a topic of considerable controversy, exasperated by conflicting no-go and counter no-go theorems and often…

Quantum Physics · Physics 2025-03-27 Daniele Lamberto , Omar Di Stefano , Stephen Hughes , Franco Nori , Salvatore Savasta

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

We investigate the topological phase transitions and edge-state properties of a time-multiplexed nonunitary quantum walk with sublattice symmetry. By constructing a Floquet operator incorporating tunable gain and loss, we systematically…

Quantum Physics · Physics 2025-11-04 Huimin Wang , Zhihao Xu , Zhijian Li

Distinguishing the nontrivial symmetry-protected topological (SPT) phase from the trivial insulator phase in the presence of electron-electron interaction is an urgent question to the study of topological insulators, due to the fact that…

Strongly Correlated Electrons · Physics 2015-10-26 Han-Qing Wu , Yuan-Yao He , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases…

Statistical Mechanics · Physics 2015-05-19 Xiao-Feng Shi , Yan Chen , J. Q. You

Fracton topological order (FTO) is a new classification of correlated phases in three spatial dimensions with topological ground state degeneracy (GSD) scaling up with system size, and fractional excitations which are immobile or have…

Strongly Correlated Electrons · Physics 2021-12-10 Ting Fung Jeffrey Poon , Xiong-Jun Liu

Progress in understanding symmetry-protected topological (SPT) phases has been greatly aided by our ability to construct lattice models realizing these states. In contrast, a systematic approach to constructing models that realize quantum…

Strongly Correlated Electrons · Physics 2023-02-03 Nathanan Tantivasadakarn , Ryan Thorngren , Ashvin Vishwanath , Ruben Verresen

Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications…

The unrivaled robustness of topologically ordered states of matter against perturbations has immediate applications in quantum computing and quantum metrology, yet their very existence poses a challenge to our understanding of phase…

Strongly Correlated Electrons · Physics 2022-09-27 Amit Jamadagni , Hendrik Weimer

We extend the symmetry topological field theory (SymTFT) framework to open quantum systems. Using canonical purification, we embed mixed states into a doubled (2+1)-dimensional topological order and employ the slab construction to study…

Strongly Correlated Electrons · Physics 2025-07-09 Ran Luo , Yi-Nan Wang , Zhen Bi

Quantum phase transitions play an important role in many-body systems and have been a research focus in conventional condensed matter physics over the past few decades. Artificial atoms, such as superconducting qubits that can be…

Quantum Physics · Physics 2015-05-26 M. Feng , Y. P. Zhong , T. Liu , L. L. Yan , W. L. Yang , J. Twamley , H. Wang

The properties of a class of topological quantum phase transition (TQPT) are analyzed based on a model proposed by Haldane. We study the effect of finite temperature on this phase transition. We have found that finite temperature would…

Mesoscale and Nanoscale Physics · Physics 2008-09-10 Zi Cai , Shu Chen , Supeng Kou , Yupeng Wang

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

Statistical Mechanics · Physics 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

The vast majority of symmetry-protected topological (SPT) states are difficult to detect, which often leads to their misidentification as ordinary or topologically trivial phases. In this work, we propose a general framework for detecting…

Strongly Correlated Electrons · Physics 2026-02-06 Zhe Wang , Longye Lu , Shang-Qiang Ning , Zenan Liu , Yan-Cheng Wang , Zheng Yan , Wenan Guo