activity
20182026
most citedSymmetry as a shadow of topological order and a derivation of topological holographic principle

85 citations · 304 across the 12 of their papers we have counts for

collaborators

12 papers

cond-mat.str-el2026

Generalized Kramers-Wannier Self-Duality in Hopf-Ising Models

Da-Chuan Lu, Arkya Chatterjee, Nathanan Tantivasadakarn

The Kramers-Wannier transformation of the 1+1d transverse-field Ising model exchanges the paramagnetic and ferromagnetic phases and, at criticality, manifests as a non-invertible s…

cond-mat.str-el2025

Parity anomaly from LSM: exact valley symmetries on the lattice

Salvatore D. Pace, Minho Luke Kim, Arkya Chatterjee +1

We show that the honeycomb tight-binding model hosts an exact microscopic avatar of its low-energy SU(2) valley symmetry and parity anomaly. Specifically, the SU(2) valley symmetry…

cond-mat.str-el2024★ 22 cited

Lattice T-duality from non-invertible symmetries in quantum spin chains

Salvatore D. Pace, Arkya Chatterjee, Shu-Heng Shao

Dualities of quantum field theories are challenging to realize in lattice models of qubits. In this work, we explore one of the simplest dualities, T-duality of the compact boson C…

hep-th2024★ 22 cited

Quantized axial charge of staggered fermions and the chiral anomaly

Arkya Chatterjee, Salvatore D. Pace, Shu-Heng Shao

In the 1+1D ultra-local lattice Hamiltonian for staggered fermions with a finite-dimensional Hilbert space, there are two conserved, integer-valued charges that flow in the continu…

cond-mat.str-el2024★ 1 cited

Analytic framework for self-dual criticality in gauge theory with matter

Zhengyan Darius Shi, Arkya Chatterjee

The deconfined phase of 2+1D gauge theory exhibits topological order, with and anyons that have a braiding phase. Proliferating either or driv…

cond-mat.str-el2024★ 37 cited

Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Arkya Chatterjee, Ömer M. Aksoy, Xiao-Gang Wen

Generalized symmetries often appear in the form of emergent symmetries in low energy effective descriptions of quantum many-body systems. Non-invertible symmetries are a particular…

quant-ph2024★ 28 cited

Implementing a synthetic magnetic vector potential in a 2D superconducting qubit array

Ilan T. Rosen, Sarah Muschinske, Cora N. Barrett +14

Superconducting quantum processors are a compelling platform for analog quantum simulation due to the precision control, fast operation, and site-resolved readout inherent to the h…

cond-mat.str-el2022★ 18 cited

Emergent generalized symmetry and maximal symmetry-topological-order

Arkya Chatterjee, Wenjie Ji, Xiao-Gang Wen

A characteristic property of a gapless liquid state is its emergent symmetry and dual symmetry, associated with the conservation laws of symmetry charges and symmetry defects respe…

cond-mat.str-el2022★ 67 cited

Holographic theory for continuous phase transitions -- the emergence and symmetry protection of gaplessness

Arkya Chatterjee, Xiao-Gang Wen

Two global symmetries are holo-equivalent if their algebras of local symmetric operators are isomorphic. Holo-equivalent classes of global symmetries are classified by gappable-bou…

cond-mat.str-el2022★ 85 cited

Symmetry as a shadow of topological order and a derivation of topological holographic principle

Arkya Chatterjee, Xiao-Gang Wen

Symmetry is usually defined via transformations described by a (higher) group. But a symmetry really corresponds to an algebra of local symmetric operators, which directly constrai…

physics.bio-ph2020★ 6 cited

Dynamics and stability of contractile actomyosin ring in the cell

Mainak Chatterjee, Arkya Chatterjee, Amitabha Nandi +1

Contraction of the cytokinetic ring during cell division leads to physical partitioning of a eukaryotic cell into two daughter cells. This involves flows of actin filaments and myo…

cond-mat.stat-mech2018★ 18 cited

Aggregation and sedimentation of active Brownian particles at constant affinity

Andreas Fischer, Arkya Chatterjee, Thomas Speck

We study the motility-induced phase separation of active particles driven through the interconversion of two chemical species controlled by ideal reservoirs (chemiostats). As a con…