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The interplay of symmetry, topology, and many-body effects in the classification of possible phases of matter poses a formidable challenge that is attracting great attention in condensed-matter physics. Such many-body effects are typically…

Quantum Gases · Physics 2019-01-09 G. Magnifico , D. Vodola , E. Ercolessi , S. P. Kumar , M. Müller , A. Bermudez

Symmetry-protected topological phases (SPTs) characterized by short-range entanglement include many states essential to understanding of topological condensed matter physics, and the extension to gapless SPTs provides essential…

Strongly Correlated Electrons · Physics 2025-04-02 R. Flores-Calderón , Elio J. König , Ashley M. Cook

We study ensembles described by density matrices with potentially nontrivial topological features. In particular, we study a class of symmetry protected topological (SPT) phases under various types of decoherence, which can drive a pure SPT…

Strongly Correlated Electrons · Physics 2025-01-29 Jong Yeon Lee , Yi-Zhuang You , Cenke Xu

We establish a holographic duality between d-dimensional mixed-state symmetry-protected topological phases (mSPTs) and (d+1)-dimensional subsystem symmetry-protected topological states (SSPTs). Specifically, we show that the reduced density…

Quantum Physics · Physics 2025-05-22 Shijun Sun , Jian-Hao Zhang , Zhen Bi , Yizhi You

Certain pure-state symmetry-protected topological orders (SPT) can be used as a resource for transmitting quantum information. Here, we investigate the ability to transmit quantum information using decohered SPT states, and relate this…

Quantum Physics · Physics 2024-05-10 Zhehao Zhang , Utkarsh Agrawal , Sagar Vijay

Intrinsically gapless symmetry protected topological phases (igSPT) are gapless systems with SPT edge states with properties that could not arise in a gapped system with the same symmetry and dimensionality. igSPT states arise from gapless…

Strongly Correlated Electrons · Physics 2024-03-01 Rui Wen , Andrew C. Potter

Recent studies have unveiled new possibilities for discovering intrinsic quantum phases that are unique to open systems, including phases with average symmetry-protected topological (ASPT) order and strong-to-weak spontaneous symmetry…

Strongly Correlated Electrons · Physics 2025-05-21 Yuchen Guo , Shuo Yang

Recent experimental progress in controlling open quantum systems enables the pursuit of mixed-state nonequilibrium quantum phases. We investigate whether open quantum systems hosting mixed-state symmetry-protected topological states as…

Symmetry-protected topological (SPT) phases are short-range entangled phases of matter with a non-local order parameter which are preserved under a local symmetry group. Here, by using unsupervised learning algorithm, namely the diffusion…

Strongly Correlated Electrons · Physics 2021-11-18 En-Jui Kuo , Hossein Dehghani

Symmetry protected topological (SPT) states are short-range entangled states with symmetry, which have symmetry protected gapless edge states around a gapped bulk. Recently, we proposed a systematic construction of SPT phases in interacting…

Strongly Correlated Electrons · Physics 2013-09-17 Xie Chen , Xiao-Gang Wen

Symmetry protected topological phases exhibit nontrivial short-ranged entanglement protected by symmetry and cannot be adiabatically connected to trivial product states while preserving the symmetry. In contrast, intrinsic topological…

Quantum Physics · Physics 2023-11-01 Yabo Li , Hiroki Sukeno , Aswin Parayil Mana , Hendrik Poulsen Nautrup , Tzu-Chieh Wei

In symmetry protected topological (SPT) phases, the combination of symmetries and a bulk gap stabilizes protected modes at surfaces or at topological defects. Understanding the fate of these modes at a quantum critical point, when the…

Strongly Correlated Electrons · Physics 2021-10-06 Shang Liu , Hassan Shapourian , Ashvin Vishwanath , Max A. Metlitski

Through the study of the Rep($D_8$) non-invertible symmetry, we show how non-invertible symmetries manifest in dynamics. By considering the effect of symmetry preserving disorder, the non-invertible symmetry is shown to give rise to…

Strongly Correlated Electrons · Physics 2025-08-21 Yabo Li , Aditi Mitra

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the symmetry. The Haldane phase of spin-1 chain…

Strongly Correlated Electrons · Physics 2013-09-03 Xie Chen , Zheng-Cheng Gu , Zheng-Xin Liu , Xiao-Gang Wen

We theoretically demonstrate that interacting symmetry-protected topological (SPT) phases can be realized with ultracold spinful bosonic atoms loaded on the lattices which have a flat band at the bottom of the band structure. Ground states…

Quantum Gases · Physics 2021-06-18 Hong Yang , Hayate Nakano , Hosho Katsura

Symmetry-protected topological (SPT) phases are commonly required to have an energy gap, but recent work has extended the concept to gapless settings. This raises a natural question: what happens at transitions between inequivalent gapless…

Strongly Correlated Electrons · Physics 2025-09-26 Saranesh Prembabu , Ruben Verresen

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

Formation of quantum scars in many-body systems provides a novel mechanism for enhancing coherence of weakly entangled states. At the same time, coherence of edge modes in certain symmetry protected topological (SPT) phases can persist away…

Statistical Mechanics · Physics 2021-07-30 Jared Jeyaretnam , Jonas Richter , Arijeet Pal

Topological order offers possibilities for processing quantum information which can be immune to imperfections. However, the question of its stability out of equilibrium is relevant for experiments, where coupling to an environment is…

Quantum Physics · Physics 2025-05-16 Dawid Paszko , Dominic C. Rose , Marzena H. Szymańska , Arijeet Pal

Gapped interfaces (and boundaries) of two-dimensional (2D) Abelian topological phases are shown to support a remarkably rich sequence of 1D symmetry-protected topological (SPT) states. We show that such interfaces can provide a physical…

Strongly Correlated Electrons · Physics 2018-08-24 Luiz H. Santos , Jennifer Cano , Michael Mulligan , Taylor L. Hughes