199 citations · 1.4k across the 38 of their papers we have counts for
17 papers · 1 filter
Sixteen-Fold Way for Fermionic Topological Orders
Ryohei Kobayashi, Abhinav Prem, Matthew Yu
Fermionic topological orders can host 't Hooft anomalies with no bosonic counterpart. We identify a new sixteen-fold family of (2+1)D fermionic topological orders, forming a fermio…
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…
String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to -String Condensation
Pranay Gorantla, Abhinav Prem, Nathanan Tantivasadakarn +1
We present a new perspective on the -string condensation procedure for constructing 3+1D fracton phases by implementing this process via the gauging of higher-form symmetries. S…
A Noisy Approach to Intrinsically Mixed-State Topological Order
Ramanjit Sohal, Abhinav Prem
We propose a general framework for studying two-dimensional (2D) topologically ordered states subject to local correlated errors and show that the resulting mixed-state can display…
Quantum Fragmentation in the Extended Quantum Breakdown Model
Bo-Ting Chen, Abhinav Prem, Nicolas Regnault +1
We introduce a one-dimensional (1D) extended quantum breakdown model comprising a fermionic and a spin degree of freedom per site, and featuring a spatially asymmetric breakdown-ty…
Filling constraints on translation invariant dipole conserving systems
Fiona J. Burnell, Sanjay Moudgalya, Abhinav Prem
Systems with conserved dipole moment have drawn considerable interest in light of their realization in recent experiments on tilted optical lattices. An important question for such…
Rotational Symmetry Protected Edge and Corner States in Abelian topological phases
Naren Manjunath, Abhinav Prem, Yuan-Ming Lu
Spatial symmetries can enrich the topological classification of interacting quantum matter and endow systems with non-trivial strong topological invariants (protected by internal s…
Quantum many-body topology of quasicrystals
Dominic V. Else, Sheng-Jie Huang, Abhinav Prem +1
In this paper, we characterize quasicrystalline interacting topological phases of matter i.e., phases protected by some quasicrystalline structure. We show that the elasticity theo…
Topological Defect Networks for Fractons of all Types
David Aasen, Daniel Bulmash, Abhinav Prem +2
Fracton phases exhibit striking behavior which appears to render them beyond the standard topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter. He…
Lieb-Schultz-Mattis type constraints on Fractonic Matter
Huan He, Yizhi You, Abhinav Prem
The Lieb-Schultz-Mattis (LSM) theorem and its descendants impose strong constraints on the low-energy behavior of interacting quantum systems. In this paper, we formulate LSM-type…
Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian
Sanjay Moudgalya, Abhinav Prem, Rahul Nandkishore +2
We study the quantum dynamics of a simple translation invariant, center-of-mass (CoM) preserving model of interacting fermions in one dimension (1D), which arises in multiple exper…
Gauging permutation symmetries as a route to non-Abelian fractons
Abhinav Prem, Dominic J. Williamson
We discuss the procedure for gauging on-site global symmetries of three-dimensional lattice Hamiltonians that permute quasi-particles and provide general arguments d…
Symmetric Tensor Gauge Theories on Curved Spaces
Kevin Slagle, Abhinav Prem, Michael Pretko
Fractons and other subdimensional particles are an exotic class of emergent quasi-particle excitations with severely restricted mobility. A wide class of models featuring these qua…
Pinch Point Singularities of Tensor Spin Liquids
Abhinav Prem, Sagar Vijay, Yang-Zhi Chou +2
Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases of emergent symmetric tensor gauge…
Cage-Net Fracton Models
Abhinav Prem, Sheng-Jie Huang, Hao Song +1
We introduce a class of gapped three-dimensional models, dubbed "cage-net fracton models," which host immobile fracton excitations in addition to non-Abelian particles with restric…
Twisted Fracton Models in Three Dimensions
Hao Song, Abhinav Prem, Sheng-Jie Huang +1
We study novel three-dimensional gapped quantum phases of matter which support quasiparticles with restricted mobility, including immobile "fracton" excitations. So far, most exist…
Emergent Phases of Fractonic Matter
Abhinav Prem, Michael Pretko, Rahul Nandkishore
Fractons are emergent particles which are immobile in isolation, but which can move together in dipolar pairs or other small clusters. These exotic excitations naturally occur in c…