Anomaly of subsystem symmetries in exotic and foliated BF theories

S Shimamura - Journal of High Energy Physics, 2024 - Springer
A bstract We study the mixed't Hooft anomaly of the subsystem symmetries in the exotic BF
theory and the foliated BF theory in 2+ 1 dimensions, both of which are fractonic quantum …

Fracton self-statistics

H Song, N Tantivasadakarn, W Shirley, M Hermele - Physical Review Letters, 2024 - APS
Fracton order describes novel quantum phases of matter that host quasiparticles with
restricted mobility and, thus, lies beyond the existing paradigm of topological order. In …

Foliated-exotic duality in fractonic BF theories

K Ohmori, S Shimamura - SciPost Physics, 2023 - scipost.org
There has been proposed two continuum descriptions of fracton systems: foliated quantum
field theories (FQFTs) and exotic quantum field theories. Certain fracton systems are …

Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory

RC Spieler - Journal of High Energy Physics, 2023 - Springer
A bstract Fracton phases of matter are gapped phases of matter that, by dint of their
sensitivity to UV data, demand non-standard quantum field theories to describe them in the …

Boundary modes in the Chamon model

WB Fontana, RG Pereira - SciPost Physics, 2023 - scipost.org
We study the fracton phase described by the Chamon model in a manifold with a boundary.
The new processess and excitations emerging at the boundary can be understood by …

Topological defect network representations of fracton stabilizer codes

Z Song, A Dua, W Shirley, DJ Williamson - PRX Quantum, 2023 - APS
A topological defect network (TDN) is formed by a network of topological defects embedded
within a topological quantum field theory (TQFT). TDNs were introduced recently for the …

Hierarchy of entanglement renormalization and long-range entangled states

MY Li, P Ye - Physical Review B, 2023 - APS
As a quantum-informative window into quantum many-body physics, the concept and
application of the entanglement renormalization group (ERG) have been playing a vital role …

Planon-modular fracton orders

E Wickenden, M Qi, A Dua, M Hermele - arxiv preprint arxiv:2412.14320, 2024 - arxiv.org
There are now many examples of gapped fracton models, which are defined by the
presence of restricted-mobility excitations above the quantum ground state. However, the …

Quantum memory error correction computation based on Chamon model

J Zhao, YC Wu, GP Guo - arxiv preprint arxiv:2303.05267, 2023 - arxiv.org
Quantum error correction codes play a central role in the realisation of fault-tolerant quantum
computing. Chamon model is a 3D generalization of the toric code. The error correction …