scholarly journals Classification of symmetry-protected topological phases in two-dimensional many-body localized systems

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Joey Li ◽  
Amos Chan ◽  
Thorsten B. Wahl
Keyword(s):  
Topological Phases ◽  
Two Dimensional ◽  
Many Body ◽  
Symmetry Protected

scholarly journals Edge theories of two-dimensional fermionic symmetry protected topological phases protected by unitary Abelian symmetries

2021 ◽  
Vol 104 (7) ◽  
Author(s):  
Shang-Qiang Ning ◽  
Chenjie Wang ◽  
Qing-Rui Wang ◽  
Zheng-Cheng Gu
Keyword(s):  
Topological Phases ◽  
Two Dimensional ◽  
Symmetry Protected

scholarly journals Many-body topological invariants from randomized measurements in synthetic quantum matter

2020 ◽  
Vol 6 (15) ◽  
pp. eaaz3666 ◽  
Author(s):  
Andreas Elben ◽  
Jinlong Yu ◽  
Guanyu Zhu ◽  
Mohammad Hafezi ◽  
Frank Pollmann ◽  
...  
Keyword(s):  
Body Wave ◽  
Complete Classification ◽  
Theoretical Description ◽  
Spin Model ◽  
Topological Invariants ◽  
Topological Phases ◽  
Many Body ◽  
Topological Quantum ◽  
The Many ◽  
Symmetry Protected

Many-body topological invariants, as quantized highly nonlocal correlators of the many-body wave function, are at the heart of the theoretical description of many-body topological quantum phases, including symmetry-protected and symmetry-enriched topological phases. Here, we propose and analyze a universal toolbox of measurement protocols to reveal many-body topological invariants of phases with global symmetries, which can be implemented in state-of-the-art experiments with synthetic quantum systems, such as Rydberg atoms, trapped ions, and superconducting circuits. The protocol is based on extracting the many-body topological invariants from statistical correlations of randomized measurements, implemented with local random unitary operations followed by site-resolved projective measurements. We illustrate the technique and its application in the context of the complete classification of bosonic symmetry-protected topological phases in one dimension, considering in particular the extended Su-Schrieffer-Heeger spin model, as realized with Rydberg tweezer arrays.

scholarly journals Global Anomaly Detection in Two-Dimensional Symmetry-Protected Topological Phases

2018 ◽  
Vol 120 (15) ◽  
Author(s):  
Nick Bultinck ◽  
Robijn Vanhove ◽  
Jutho Haegeman ◽  
Frank Verstraete
Keyword(s):  
Anomaly Detection ◽  
Topological Phases ◽  
Two Dimensional ◽  
Global Anomaly ◽  
Symmetry Protected
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