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Confinement can have a considerable effect on the behavior of particle systems, and is therefore an effective way to discover new phenomena. A notable example is a system of identical bosons at low temperature under an external field…

Quantum Gases · Physics 2024-01-10 Matteo Ciardi , Fabio Cinti , Giuseppe Pellicane , Santi Prestipino

The low energy behavior of a huge variety of one-dimensional interacting spinful fermionic systems exhibits spin-charge separation, described in the continuum limit by two sine-Gordon models decoupled in the charge and spin channels.…

Strongly Correlated Electrons · Physics 2017-10-02 Arianna Montorsi , Fabrizio Dolcini , Rita Iotti , Fausto Rossi

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 orders. Notably, measurements of certain SPT states have been…

Strongly Correlated Electrons · Physics 2023-10-30 Yabo Li , Mikhail Litvinov , Tzu-Chieh Wei

Certain patterns of symmetry fractionalization in topologically ordered phases of matter are anomalous, in the sense that they can only occur at the surface of a higher dimensional symmetry-protected topological (SPT) state. An important…

Strongly Correlated Electrons · Physics 2020-02-19 Maissam Barkeshli , Meng Cheng

We study two-dimensional bosonic symmetry protected topological (SPT) phases which are protected by reflection symmetry and local symmetry [$Z_N\rtimes R$, $Z_N\times R$, U(1)$\rtimes R$, or U(1)$\times R$], in the search for…

Strongly Correlated Electrons · Physics 2015-12-18 Tsuneya Yoshida , Takahiro Morimoto , Akira Furusaki

We study the entanglement structure of symmetry-protected topological (SPT) phases from an operational point of view by considering entanglement distillation in the presence of symmetries. We demonstrate that non-trivial SPT phases in…

Quantum Physics · Physics 2020-08-18 Caroline de Groot , David T. Stephen , Andras Molnar , Norbert Schuch

Classical machine learning has proven remarkably useful in post-processing quantum data, yet typical learning algorithms often require prior training to be effective. In this work, we employ a tensorial kernel support vector machine…

Symmetry-protected topological phases (SPT) are short-range entangled gapped states protected by global symmetry. Nontrivial SPT phases cannot be adiabatically connected to the trivial disordered state(or atomic insulator) as long as…

Strongly Correlated Electrons · Physics 2016-06-02 Peng Ye , Zheng-Cheng Gu

A symmetry-protected topologically ordered phase is a short-range entangled state, for which some imposed symmetry prohibits the adiabatic deformation into a trivial state which lacks entanglement. In this paper we argue that magnetization…

Strongly Correlated Electrons · Physics 2015-04-24 Shintaro Takayoshi , Keisuke Totsuka , Akihiro Tanaka

We propose a set of constraints on the ground-state wavefunctions of fracton phases, which provide a possible generalization of the string-net equations used to characterize topological orders in two spatial dimensions. Our constraint…

Strongly Correlated Electrons · Physics 2020-04-30 Nathanan Tantivasadakarn , Sagar Vijay

We explore the states of matter arising from the spontaneous symmetry breaking (SSB) of $\mathbb{Z}_2$ non-onsite symmetries. In one spatial dimension, we construct a frustration-free lattice model exhibiting SSB of a non-onsite symmetry,…

Strongly Correlated Electrons · Physics 2026-05-28 Zhehao Zhang , Yabo Li , Tsung-Cheng Lu

We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other probes under noisy channels. We find that one-dimensional SPT…

Quantum Physics · Physics 2022-11-16 Caroline de Groot , Alex Turzillo , Norbert Schuch

We examine noninvertible symmetry (NIS) in one-dimensional (1D) symmetry-protected topological (SPT) phases protected by dipolar and exponential-charge symmetries, which are two key examples of modulated SPT (MSPT). To set the stage, we…

Strongly Correlated Electrons · Physics 2025-10-29 Jintae Kim , Yizhi You , Jung Hoon Han

Periodically driven systems, also known as Floquet systems, can realize symmetry protected topological (SPT) phases that cannot be found in equilibrium. Here, we seek to understand the effects of strong disorder on such SPT phases, working…

Disordered Systems and Neural Networks · Physics 2015-12-15 Yuval Gannot

The two-component cold atom systems with anisotropic hopping amplitudes can be phenomenologically described by a two-dimensional Ising-XY coupled model with spatial anisotropy. At low temperatures, theoretical predictions [Phys. Rev. A 72,…

Quantum Gases · Physics 2024-05-21 Heyang Ma , Wanzhou Zhang , Yanting Tian , Chengxiang Ding , Youjin Deng

Symmetry-protected topological (SPT) phases are fundamental features of cluster states, serving as key resources for measurement-based quantum computation (MBQC). Generating large-scale cluster states and verifying their SPT phases are…

Quantum Physics · Physics 2026-04-06 Tao Jiang , Jianbin Cai , Junxiang Huang , Naibin Zhou , Yukun Zhang , Jiahao Bei , Guoqing Cai , Sirui Cao , Fusheng Chen , Jiang Chen , Kefu Chen , Xiawei Chen , Xiqing Chen , Zhe Chen , Zhiyuan Chen , Zihua Chen , Wenhao Chu , Hui Deng , Zhibin Deng , Pei Ding , Xun Ding , Zhuzhengqi Ding , Shuai Dong , Bo Fan , Daojin Fan , Yuanhao Fu , Dongxin Gao , Lei Ge , Jiacheng Gui , Cheng Guo , Shaojun Guo , Xiaoyang Guo , Lianchen Han , Tan He , Linyin Hong , Yisen Hu , He-Liang Huang , Yong-Heng Huo , Zuokai Jiang , Honghong Jin , Yunxiang Leng , Dayu Li , Dongdong Li , Fangyu Li , Jiaqi Li , Jinjin Li , Junyan Li , Junyun Li , Na Li , Shaowei Li , Wei Li , Yuhuai Li , Yuan Li , Futian Liang , Xuelian Liang , Nanxing Liao , Jin Lin , Weiping Lin , Dailin Liu , Hongxiu Liu , Maliang Liu , Xinyu Liu , Xuemeng Liu , Yancheng Liu , Haoxin Lou , Yuwei Ma , Lingxin Meng , Hao Mou , Kailiang Nan , Binghan Nie , Meijuan Nie , Jie Ning , Le Niu , Wenyi Peng , Haoran Qian , Hao Rong , Tao Rong , Huiyan Shen , Qiong Shen , Hong Su , Feifan Su , Chenyin Sun , Liangchao Sun , Tianzuo Sun , Yingxiu Sun , Yimeng Tan , Jun Tan , Longyue Tang , Wenbing Tu , Jiafei Wang , Biao Wang , Chang Wang , Chen Wang , Chu Wang , Jian Wang , Liangyuan Wang , Rui Wang , Shengtao Wang , Xiaomin Wang , Xinzhe Wang , Xunxun Wang , Yeru Wang , Zuolin Wei , Jiazhou Wei , Dachao Wu , Gang Wu , Jin Wu , Yulin Wu , Shiyong Xie , Lianjie Xin , Yu Xu , Chun Xue , Kai Yan , Weifeng Yang , Xinpeng Yang , Yang Yang , Yangsen Ye , Zhenping Ye , Chong Ying , Jiale Yu , Qinjing Yu , Wenhu Yu , Xiangdong Zeng , Chen Zha , Shaoyu Zhan , Feifei Zhang , Haibin Zhang , Kaili Zhang , Wen Zhang , Yiming Zhang , Yongzhuo Zhang , Lixiang Zhang , Guming Zhao , Peng Zhao , Xintao Zhao , Youwei Zhao , Zhong Zhao , Luyuan Zheng , Fei Zhou , Liang Zhou , Na Zhou , Shifeng Zhou , Shuang Zhou , Zhengxiao Zhou , Chengjun Zhu , Qingling Zhu , Guihong Zou , Haonan Zou , Qiang Zhang , Chao-Yang Lu , Cheng-Zhi Peng , Xiao Yuan , Ming Gong , Xiaobo Zhu , Jian-Wei Pan

We map the phase diagram of the triangular-lattice Majorana-Hubbard model on a four-leg ladder using DMRG and variational uniform matrix product states, revealing a richer variety of phases than previously known. Analysis of…

Strongly Correlated Electrons · Physics 2026-04-29 Will Holdhusen , Alberto Nocera , Jian-Xin Zhu , Armin Rahmani

Symmetry protected topological (SPT) states have boundary 't Hooft anomalies that obstruct an effective boundary theory realized in its own dimension with UV completion and an on-site $G$-symmetry. In this work, yet we show that a certain…

Strongly Correlated Electrons · Physics 2019-02-15 Juven Wang , Xiao-Gang Wen , Edward Witten

Subsystem symmetry has emerged as a powerful organizing principle for unconventional quantum phases of matter, most prominently fracton topological orders. Here, we focus on a special subclass of such symmetries, known as higher-form…

Strongly Correlated Electrons · Physics 2024-03-15 Brandon C. Rayhaun , Dominic J. Williamson

One of the central ideas regarding anomalies in topological phases of matter is that they imply the existence of higher-dimensional physics, with an anomaly in a D-dimensional theory typically being cancelled by a bulk (D+1)-dimensional…

Strongly Correlated Electrons · Physics 2016-12-08 Ethan Lake