8 citations · 26 across the 10 of their papers we have counts for
10 papers
Integrability from categorification and the 2-Kac-Moody Algebra
Hank Chen, Florian Girelli
The theory of Lie bialgebras and the classical Yang-Baxter equation plays a major role in the study of 1+1d integrable systems; many families of integrable systems can be recovered…
2-Drinfel'd double symmetry of the 4d Kitaev model
Hank Chen
Following the general theory of categorified quantum groups developed by the author previously (arxiv:2304.07398), we construct the 2-Drinfel'd double associated to a finite group…
Hopf 2-algebras and Braided Monoidal 2-Categories
Hank Chen, Florian Girelli
Following the theory of principal -bundles of Niklaus-Schreiber-Steveson, we develop a homotopy categorification of Hopf algebras, which model quantum groups. We study thei…
Gauging the Gauge and Anomaly Resolution
Hank Chen, Florian Girelli
In this paper, we explore the algebraic and geometric structures that arise from a procedure we dub "gauging the gauge", which involves the promotion of a certain global, coordinat…
(2-)Drinfel'd Double and (2-)BF Theory
Hank Chen, Florian Girelli
The gauge symmetry and shift/translational symmetry of a 3D BF action, which are associated to a pair of dual Lie algebras, can be combined to form the Drinfel'd double. This combi…
Lieb-Schultz-Mattis Theorem and the Filling Constraint
Hank Chen
Following recent developments in the classification of bosonic short-range entangled phases, we examine many-body quantum systems whose ground state fractionalization obeys the Lie…
Interacting quantum Hall states in a finite graphene flake and at finite temperature
Hank Chen, Matthew R. C. Fitzpatrick, Sujit Narayanan +2
The integer quantum Hall states at fillings and in monolayer graphene have drawn much attention as they are generated by electron-electron interactions. Here we ex…
Connection between the winding number and the Chern number
Han-Ting Chen, Chia-Hsun Chang, Hsien-chung Kao
Bulk-edge correspondence is one of the most distinct properties of topological insulators. In particular, the 1D winding number $\n$ has a one-to-one correspondence to the number o…
Ground state of the double-well condensate for quantum metrology
Juha Javanainen, Han Chen
We discuss theoretically the ground state of a Bose-Einstein condensate with attractive atom-atom interactions in a double-well trap as a starting point of Heisenberg-limited atom…
Optimal measurement precision of a nonlinear interferometer
Juha Javanainen, Han Chen
We study the best attainable measurement precision when a double-well trap with bosons inside acts as an interferometer to measure the energy difference of the atoms on the two sid…