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We propose an exotic scenario that topological superconductivity can emerge by doping strongly interacting fermionic systems whose spin degrees of freedom form bosonic symmetry protected topological (SPT) state. Specifically, we study a…

Strongly Correlated Electrons · Physics 2020-05-27 Shang-Qiang Ning , Zheng-Xin Liu , Hong-Chen Jiang

The classification of symmetry-protected topological (SPT) phases in one dimension has been recently achieved, and had a fundamental impact in our understanding of quantum phases in condensed matter physics. In this framework, SPT phases…

The entanglement spectrum (ES) provides a barometer of quantum entanglement and encodes physical information beyond that contained in the entanglement entropy. In this paper, we explore the ES of stabilizer codes, which furnish exactly…

Quantum Physics · Physics 2019-05-09 Albert T. Schmitz , Sheng-Jie Huang , Abhinav Prem

Symmetry-protected topological (SPT) phases in insulators and superconductors are known for their robust edge modes, linked to bulk invariants through the bulk-boundary correspondence. While this principle traditionally applies to gapped…

Strongly Correlated Electrons · Physics 2024-11-06 Gabriel Cardoso , Hsiu-Chung Yeh , Leonid Korneev , Alexander G. Abanov , Aditi Mitra

Generalised charge pumps are topological obstructions to trivialising loops in the space of symmetric gapped Hamiltonians. We show that given mild conditions on such pumps, the associated loop has high-symmetry points which must be in…

Strongly Correlated Electrons · Physics 2025-10-22 Nick. G. Jones , Ryan Thorngren , Ruben Verresen , Abhishodh Prakash

Symmetry-resolved entanglement is a useful tool for characterizing symmetry-protected topological states. In two dimensions, their entanglement spectra are described by conformal field theories but the symmetry resolution is largely…

Strongly Correlated Electrons · Physics 2023-03-13 Daniel Azses , David F. Mross , Eran Sela

Identical particles and entanglement are both fundamental components of quantum mechanics. However, when identical particles are condensed in a single spatial mode, the standard notions of entanglement, based on clearly identifiable…

Quantum Physics · Physics 2014-04-23 N. Killoran , M. Cramer , M. B. Plenio

The program of classifying symmetry protected topological (SPT) phases in 1D has been recently completed and has opened the doors to study closely the properties of systems belonging to these phases. It was recently found that being able to…

Quantum Physics · Physics 2015-09-04 Abhishodh Prakash , Tzu-Chieh Wei

In this study, we discuss a new type of bulk-boundary correspondence which holds for topological insulators and superconductors when the parity-time ($PT$) and/or parity-particle-hole ($PC$) symmetry are present. In these systems, even when…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Ryo Takahashi , Tomoki Ozawa

Decoherence in realistic quantum platforms motivates a mixed-state notion of topological phases of matter, including average symmetry-protected topological (ASPT) phases. Alongside this progress, generalized symmetries--notably…

Strongly Correlated Electrons · Physics 2026-03-19 Linhao Li , Zhen Bi , Weiguang Cao

A series of symmetry-protected topological(SPT) and trivial spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with alternating next-nearest-neighbour interaction are investigated using two kinds…

Strongly Correlated Electrons · Physics 2016-11-28 Kazuo Hida

The correspondence between the edge theory and the entanglement spectrum is firmly established for the chiral topological phases. We study gapped, topologically ordered, non-chiral states with a conserved $U(1)$ charge and show that the…

Strongly Correlated Electrons · Physics 2017-05-17 Maciej Koch-Janusz , Kusum Dhochak , Erez Berg

We study bosonic symmetry protected topological (SPT) phases with $C_{2}$ rotational symmetry in four spatial dimensions which is not captured by the group cohomology classification. By using the topological crystal approach, we show that…

Strongly Correlated Electrons · Physics 2020-08-19 Sheng-Jie Huang

We explore nonequilibrium topological responses of symmetry-protected topological (SPT) states in open quantum systems subject to decoherence. For SPT wavefunctions protected by a product symmetry G $\times$ S , where G defects are…

Strongly Correlated Electrons · Physics 2026-03-02 Shuangyuan Lu , Lucas Q Silveira , Yizhi You

Topological phases in open quantum systems have become an exciting area of research, driven by the rising importance of noisy intermediate-scale quantum platforms. The concept of Average Symmetry-Protected Topological (ASPT) phases extends…

Strongly Correlated Electrons · Physics 2026-04-01 Jian-Hao Zhang , Yang Qi , Zhen Bi

We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The…

Quantum Physics · Physics 2016-05-25 Yu-Chin Tzeng , Li Dai , M. -C. Chung , Luigi Amico , Leong-Chuan Kwek

We define and classify symmetry-protected topological (SPT) phases in mixed states based on the tensor network formulation of the density matrix. In one dimension, we introduce strong injective matrix product density operators (MPDO), which…

Strongly Correlated Electrons · Physics 2024-05-17 Hanyu Xue , Jong Yeon Lee , Yimu Bao

Identifying topological phases for a strongly correlated theory remains a non-trivial task, as defining order parameters, such as Berry phases, is not straightforward. Quantum information theory is capable of identifying topological phases…

Strongly Correlated Electrons · Physics 2024-01-09 Nisa Ara , Rudranil Basu , Emil Mathew , Indrakshi Raychowdhury

We show that the phenomenon of superadditivity of distillable entanglement observed in multipartite quantum systems results from the consideration of states created during the execution of the standard end-to-end quantum teleportation…

Quantum Physics · Physics 2009-11-13 Somshubhro Bandyopadhyay , Vwani Roychowdhury

We put the theory of interacting topological crystalline phases on a systematic footing. These are topological phases protected by space-group symmetries. Our central tool is an elucidation of what it means to "gauge" such symmetries. We…

Strongly Correlated Electrons · Physics 2018-03-21 Ryan Thorngren , Dominic V. Else