Sequential quantum circuits as maps between gapped phases

X Chen, A Dua, M Hermele, DT Stephen… - Physical Review B, 2024 - APS
Finite-depth quantum circuits preserve the long-range entanglement structure in quantum
states and map between states within a gapped phase. To map between states of different …

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 …

Multipole groups and fracton phenomena on arbitrary crystalline lattices

D Bulmash, O Hart, R Nandkishore - SciPost Physics, 2023 - scipost.org
Multipole symmetries are of interest in multiple contexts, from the study of fracton phases, to
nonergodic quantum dynamics, to the exploration of new hydrodynamic universality classes …

Non-local finite-depth circuits for constructing SPT states and quantum cellular automata

DT Stephen, A Dua, A Lavasani… - arxiv preprint arxiv …, 2022 - arxiv.org
Whether a given target state can be prepared by starting with a simple product state and
acting with a finite-depth quantum circuit is a key question in condensed matter physics and …

Entanglement renormalization of fractonic anisotropic Laplacian models

Y Xue, P Gorantla, ZX Luo - arxiv preprint arxiv:2409.18206, 2024 - arxiv.org
Gapped fracton phases constitute a new class of quantum states of matter which connects to
topological orders but does not fit easily into existing paradigms. They host unconventional …

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 …

Composite subsystem symmetries and decoration of sub-dimensional excitations

A Vadali, Z Wang, A Dua, W Shirley, X Chen - SciPost Physics, 2024 - scipost.org
Flux binding is a mechanism that is well-understood for global symmetries. Given two
systems, each with a global symmetry, gauging the composite symmetry instead of …

[BOOK][B] Fractonic Orders from Lattice Models and Field Theories

X Ma - 2023 - search.proquest.com
Fracton models are characterized by exotic features such as point-like excitations with
restricted mobility, sub-extensive ground state degeneracy and UV/IR mixing. They have …