33 citations · 138 across the 10 of their papers we have counts for
11 papers
Symmetry-permuting entanglers for non-invertible symmetry-protected topological phases
Minyoung You
1+1D symmetry-protected topological (SPT) phases with invertible symmetry can be characterized by the symmetric entanglers: globally symmetric finite-depth local unitary circuits t…
Algebras of order parameters in one-dimensional spin systems
Ameya Chavda, Clement Delcamp, Alex Turzillo +1
We study order parameters in one-dimensional quantum lattice models with finite invertible or non-invertible symmetry. We investigate what properties a string operator must satisfy…
Duality and Stacking of Bosonic and Fermionic SPT Phases
Alex Turzillo, Minyoung You
We study the interplay of duality and stacking of bosonic and fermionic symmetry-protected topological phases in one spatial dimension. In general the classifications of bosonic an…
Classification of Fermionic Topological Orders from Congruence Representations
Gil Young Cho, Hee-cheol Kim, Donghae Seo +1
The fusion rules and braiding statistics of anyons in D fermionic topological orders are characterized by the modular data of a super-modular category. On the other hand, th…
A symmetry principle for gauge theories with fractons
Yuji Hirono, Minyoung You, Stephen Angus +1
Fractonic phases are new phases of matter that host excitations with restricted mobility. We show that a certain class of gapless fractonic phases are realized as a result of spont…
Supersymmetric boundaries of one-dimensional phases of fermions beyond symmetry-protected topological states
Alex Turzillo, Minyoung You
It has recently been demonstrated that protected supersymmetry emerges on the boundaries of one-dimensional intrinsically fermionic symmetry protected trivial (SPT) phases. Here we…
Braiding Statistics of Vortices in d Topological Superconductors from Stacking
Minyoung You
Class D topological superconductors in dimensions are known to have a classification in the presence of interactions, with different topological orders…
Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way
Yu-An Chen, Anton Kapustin, Alex Turzillo +1
We extend the periodic table of phases of free fermions in the ten-fold way symmetry classes to a classification of free fermionic phases protected by an arbitrary on-site unitary…
Fermionic Matrix Product States and One-Dimensional Short-Range Entangled Phases with Anti-Unitary Symmetries
Alex Turzillo, Minyoung You
We extend the formalism of Matrix Product States (MPS) to describe one-dimensional gapped systems of fermions with both unitary and anti-unitary symmetries. Additionally, systems w…
Spin Topological Field Theory and Fermionic Matrix Product States
Anton Kapustin, Alex Turzillo, Minyoung You
We study state-sum constructions of G-equivariant spin-TQFTs and their relationship to Matrix Product States. We show that in the Neveu-Schwarz, Ramond, and twisted sectors, the st…
Topological Field Theory and Matrix Product States
Anton Kapustin, Alex Turzillo, Minyoung You
It is believed that most (perhaps all) gapped phases of matter can be described at long distances by Topological Quantum Field Theory (TQFT). On the other hand, it has been rigorou…