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Nascent platforms for programmable quantum simulation offer unprecedented access to new regimes of far-from-equilibrium quantum many-body dynamics in (approximately) isolated systems. Here, achieving precise control over quantum many-body…

Symmetry protected topological (SPT) states are bulk gapped states with gapless edge excitations protected by certain symmetries. The SPT phases in free fermion systems, like topological insulators, can be classified by the K-theory.…

Strongly Correlated Electrons · Physics 2013-01-08 Xie Chen , Zheng-Cheng Gu , Zheng-Xin Liu , Xiao-Gang Wen

Quantum many-body scarring (QMBS) -- a recently discovered form of weak ergodicity breaking in strongly-interacting quantum systems -- presents opportunities for mitigating thermalization-induced decoherence in quantum information…

Symmetry-protected topological edge modes are one of the most remarkable phenomena in topological physics. Here, we formulate and quantitatively examine the effect of a quantum bath on these topological edge modes. Using the density matrix…

Strongly Correlated Electrons · Physics 2021-06-11 Zijian Wang , Qiaoyi Li , Wei Li , Zi Cai

We introduce a class of intrinsic symmetry-protected topological mixed-state(mSPT) in open quantum systems that feature modulated symmetries, such as dipole and subsystem symmetries. Intriguingly, these mSPT phases cannot be realized as the…

Quantum Physics · Physics 2024-07-15 Yizhi You , Masaki Oshikawa

Mixed-state phases have recently attracted significant attention as a generalization beyond their pure-state counterparts. Prominent examples include mixed-state symmetry-protected topological (mSPT) phases and the strong-to-weak symmetry…

Strongly Correlated Electrons · Physics 2026-03-05 Aswin Parayil Mana , Zijian Song , Fei Yan , Tzu-Chieh Wei

Dissipative dynamics of quantum systems can be classified topologically based on the correspondence between the Lindbladian in the Gorini-Kossakowski-Sudarshan-Lindblad equation and the non-Hermitian Hamiltonian in the Schr\"{o}dinger…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Makio Kawasaki , Ken Mochizuki , Hideaki Obuse

Quantum many-body scars are highly excited eigenstates of non-integrable Hamiltonians which violate the eigenstate thermalization hypothesis and are embedded in a sea of thermal eigenstates. We provide a general mechanism to construct…

Quantum Physics · Physics 2024-03-25 He-Ran Wang , Dong Yuan

Where in the landscape of many-body phases of matter do we place the Higgs condensate of a gauge theory? On the one hand, the Higgs phase is gapped, has no local order parameter, and for fundamental Higgs fields is adiabatically connected…

Strongly Correlated Electrons · Physics 2024-03-18 Ruben Verresen , Umberto Borla , Ashvin Vishwanath , Sergej Moroz , Ryan Thorngren

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

The search for non-ergodic mechanisms in quantum many-body systems has become a frontier area of research in non-equilibrium physics. In this Letter, we introduce Hilbert subspace imprint (HSI)-a novel mechanism that enables evasion of…

Quantum Physics · Physics 2025-06-16 Hui Yu , Jiangping Hu , Shi-Xin Zhang

We consider a 2D quantum spin model with ring-exchange interaction that has subsystem symmetries associated to conserved magnetization along rows and columns of a square lattice, which implies the conservation of the global dipole moment.…

Strongly Correlated Electrons · Physics 2022-10-19 Alexey Khudorozhkov , Apoorv Tiwari , Claudio Chamon , Titus Neupert

We show how combining a discrete symmetry with topological Hilbert space fragmentation can give rise to exponentially many topologically stable qubits protected by a single discrete symmetry. We illustrate this explicitly with the example…

Quantum Physics · Physics 2025-12-24 Thomas Iadecola , Rahul Nandkishore

Classifications of symmetry-protected topological (SPT) phases provide a framework to systematically understand the physical properties and potential applications of topological systems. While such classifications have been widely explored…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Hengyun Zhou , Jong Yeon Lee

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

Symmetry protected topological (SPT) phases are gapped quantum phases which host symmetry-protected gapless edge excitations. On the other hand, the edge states can be gapped by spontaneously breaking symmetry. We show that topological…

Strongly Correlated Electrons · Physics 2014-05-20 Yuan-Ming Lu , Dung-Hai Lee

A self-correcting quantum memory can store and protect quantum information for a time that increases without bound with the system size and without the need for active error correction. We demonstrate that symmetry can lead to…

Quantum Physics · Physics 2020-08-24 Sam Roberts , Stephen D. Bartlett

We show that whereas spin-1/2 one-dimensional U(1) quantum-link models (QLMs) are topologically trivial, when implemented in ladder-like lattices these models may present an intriguing ground-state phase diagram, which includes a symmetry…

Quantum Gases · Physics 2017-11-08 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

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 consider the classification problem of symmetry protected topological (SPT) phases on quantum spin systems. SPT phases are gapped short-range-entangled quantum phases with a symmetry $G$. We explain that in one and two-dimensional…

Mathematical Physics · Physics 2021-10-12 Yoshiko Ogata
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