190 citations · 1k across the 21 of their papers we have counts for
21 papers
Composite subsystem symmetries and decoration of sub-dimensional excitations
Avi Vadali, Zongyuan Wang, Arpit Dua +2
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 individual symm…
Fracton Self-Statistics
Hao Song, Nathanan Tantivasadakarn, Wilbur Shirley +1
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 partic…
Pauli topological subsystem codes from Abelian anyon theories
Tyler D. Ellison, Yu-An Chen, Arpit Dua +3
We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories--this includes anyon theories with degenerate braiding relations an…
Emergent fermionic gauge theory and foliated fracton order in the Chamon model
Wilbur Shirley, Xu Liu, Arpit Dua
The Chamon model is an exactly solvable spin Hamiltonian exhibiting nontrivial fracton order. In this work, we dissect two distinct aspects of the model. First, we show that it exh…
Three-dimensional quantum cellular automata from chiral semion surface topological order and beyond
Wilbur Shirley, Yu-An Chen, Arpit Dua +3
We construct a novel three-dimensional quantum cellular automaton (QCA) based on a system with short-range entangled bulk and chiral semion boundary topological order. We argue tha…
Topological defect network representations of fracton stabilizer codes
Zijian Song, Arpit Dua, Wilbur Shirley +1
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 pu…
Pauli stabilizer models of twisted quantum doubles
Tyler D. Ellison, Yu-An Chen, Arpit Dua +3
We construct a Pauli stabilizer model for every two-dimensional Abelian topological order that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four-dim…
Loops in 4+1d Topological Phases
Xie Chen, Arpit Dua, Po-Shen Hsin +3
2+1d topological phases are well characterized by the fusion rules and braiding/exchange statistics of fractional point excitations. In 4+1d, some topological phases contain only f…
Screw dislocations in the X-cube fracton model
Nandagopal Manoj, Kevin Slagle, Wilbur Shirley +1
The X-cube model, a prototypical gapped fracton model, has been shown to have a foliation structure. That is, inside the 3+1D model, there are hidden layers of 2+1D gapped topologi…
Fractonic order in infinite-component Chern-Simons gauge theories
Xiuqi Ma, Wilbur Shirley, Meng Cheng +3
2+1D multi-component gauge theories with a Chern-Simons (CS) term provide a simple and complete characterization of 2+1D Abelian topological orders. In this paper, we extend…
Fractonic order and emergent fermionic gauge theory
Wilbur Shirley
We consider fermionic systems in which fermion parity is conserved within rigid subsystems, and describe an explicit procedure for gauging such subsystem fermion parity symmetries…
Strong planar subsystem symmetry-protected topological phases and their dual fracton orders
Trithep Devakul, Wilbur Shirley, Juven Wang
We classify subsystem symmetry-protected topological (SSPT) phases in D protected by planar subsystem symmetries, which are dual to abelian fracton topological orders. We dist…
Twisted foliated fracton phases
Wilbur Shirley, Kevin Slagle, Xie Chen
In the study of three-dimensional gapped models, two-dimensional gapped states should be considered as a free resource. This is the basic idea underlying the notion of `foliated fr…
Foliated fracton order in the Majorana checkerboard model
Taige Wang, Wilbur Shirley, Xie Chen
We establish the presence of foliated fracton order in the Majorana checkerboard model. In particular, we describe an entanglement renormalization group transformation which utiliz…
Foliated fracton order in the checkerboard model
Wilbur Shirley, Kevin Slagle, Xie Chen
In this work, we show that the checkerboard model exhibits the phenomenon of foliated fracton order. We introduce a renormalization group transformation for the model that utilizes…
Fractional excitations in foliated fracton phases
Wilbur Shirley, Kevin Slagle, Xie Chen
Fractional excitations in fracton models exhibit novel features not present in conventional topological phases: their mobility is constrained, there are an infinitude of types, and…
Foliated fracton order from gauging subsystem symmetries
Wilbur Shirley, Kevin Slagle, Xie Chen
Based on several previous examples, we summarize explicitly the general procedure to gauge models with subsystem symmetries, which are symmetries with generators that have support…
Universal entanglement signatures of foliated fracton phases
Wilbur Shirley, Kevin Slagle, Xie Chen
Fracton models exhibit a variety of exotic properties and lie beyond the conventional framework of gapped topological order. In a previous work, we generalized the notion of gapped…
Fracton Models on General Three-Dimensional Manifolds
Wilbur Shirley, Kevin Slagle, Zhenghan Wang +1
Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in three spatial dimensions, contain some 'topological' features: they support fractional bul…
Anomalous supersolidity in a weakly interacting dipolar Bose mixture on a square lattice
Ryan M. Wilson, Wilbur E. Shirley, Stefan S. Natu
We calculate the mean-field phase diagram of a zero-temperature, binary Bose mixture on a square optical lattice, where one species possesses a non-negligible dipole moment. Remark…
Half-Quantum Vortex Molecules in a Binary Dipolar Bose Gas
Wilbur E. Shirley, Brandon M. Anderson, Charles W. Clark +1
We study the ground state phases of a rotating two-component, or binary Bose-Einstein condensate, wherein one component possesses a large magnetic dipole moment. A variety of non-t…