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Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle
Vibhu Ravindran, Bowen Yang, Xie Chen
Manifolds with nontrivial topology play an essential role in the study of topological phases of matter. In this paper, we study the nontrivial symmetry response of the D …
Sequential Circuits as Generalized Symmetry on the Lattice
Nathanan Tantivasadakarn, Xinyu Liu, Xie Chen
Generalized symmetry extends the usual notion of symmetry to ones that are of higher-form, acting on subsystems, non-invertible, etc. The concept was defined in the field theory co…
The Symmetry Taco: Equivalences between Gapped, Gapless, and Mixed-State SPTs
Marvin Qi, Ramanjit Sohal, Xie Chen +2
Symmetry topological field theory (SymTFT), or topological holography, offers a unifying framework for describing quantum phases of matter and phase transitions between them. While…
Bulk Excitations of Invertible Phases
Wenjie Ji, David T. Stephen, Michael Levin +1
Recent developments in the study of topological defects highlight the importance of understanding the multi-dimensional structure of bulk excitations inside a quantum system. When…
Fusion of Low-Entanglement Excitations in 2D Toric Code
Jing-Yu Zhao, Xie Chen
On top of a -dimensional gapped bulk state, Low Entanglement Excitations (LEE) on ()-dimensional sub-manifolds can have extensive energy but preserves the entanglement ar…
Duality via Sequential Quantum Circuit in the Topological Holography Formalism
Robijn Vanhove, Vibhu Ravindran, David T. Stephen +2
Two quantum theories which look different but are secretly describing the same low-energy physics are said to be dual to each other. When realized in the Topological Holography for…