39 citations · 89 across the 14 of their papers we have counts for
13 papers · 1 filter
Noninvertible symmetry and topological holography for modulated SPT in one dimension
Jintae Kim, Yizhi You, Jung Hoon Han
We examine noninvertible symmetry (NIS) in one-dimensional (1D) symmetry-protected topological (SPT) phases protected by dipolar and exponential-charge symmetries, which are two ke…
Gauging Modulated Symmetries via Multiple Gauge Symmetry Operators and Adaptive Quantum Circuits
Jintae Kim, Jong Yeon Lee, Jung Hoon Han
We introduce an extended framework for the simultaneous gauging of modulated symmetries in dimensions, employing {\it multiple} gauge symmetry operators whose corresponding…
Unveiling UV/IR Mixing via Symmetry Defects: A View from Topological Entanglement Entropy
Jintae Kim, Yun-Tak Oh, Daniel Bulmash +1
Some topological lattice models in two spatial dimensions exhibit intricate lattice size dependence in their ground state degeneracy (GSD). This and other features such as the posi…
Effective Field Theory of Dipolar Braiding Statistics in Two Dimensions
Yun-Tak Oh, Jintae Kim, Jung Hoon Han
A rank-2 toric code (R2TC) Hamiltonian in two dimensions can be constructed as a Higgsed descendant of rank-2 U(1) lattice gauge theory. As noted by the authors recently, [Y.-T. Oh…
Hybrid rank-1 and rank-2 U(1) lattice gauge theory, the F3 model, and its effective field theory
Jintae Kim, Yun-Tak Oh, Jung Hoon Han
A number of exactly solvable spin models, including the Kitaev toric code in two and three dimensions and the X-cube model in three dimensions, can be related to their respective p…
Rank-2 Toric Code in Two Dimensions
Yun-Tak Oh, Jintae Kim, Eun-Gook Moon +1
We study a two-dimensional spin model obtained by "Higgsing" the rank-2 U(1) lattice gauge theory (LGT) with scalar or vector charges on the L_x * L_y square lattice under the peri…
A New Model for Fractons, Fluxons, and Freeons
Jintae Kim, Jung Hoon Han
We propose a lattice spin model on a cubic lattice that shares many of the properties of the 3D toric code and the X-cube fracton model. The model, made of Z_3 degrees of freedom a…
A Subsystem Ginzburg-Landau and SPT Orders Co-existing on a Graph
Jintae Kim, Hyun-Yong Lee, Jung Hoon Han
We analyze a model demonstrating the co-existence of subsystem symmetry breaking (SSB) and symmetry-protected topological (SPT) order, or subsystem LSPT order for short. Its mathem…
Frustration-free Hamiltonian with Topological Order on Graphs
Pramod Padmanabhan, Jintae Kim, Jung Hoon Han
It is commonly believed that models defined on a closed one-dimensional manifold cannot give rise to topological order. Here we construct frustration-free Hamiltonians which posses…
Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain
Jintae Kim, Minsoo Kim, Pramod Padmanabhan +2
We present a variational matrix product state (vMPS) for the ground state of the spin-1/2 Heisenberg model. The MPS effectively organizes the various dimer configurations, in faith…
Construction of Variational Matrix Product States for the Heisenberg Spin-1 Chain
Jintae Kim, Minsoo Kim, Naoki Kawashima +2
We propose a simple variational wave function that captures the correct ground state energy of the spin-1 Heisenberg chain model to within 0.04\%. The wave function is written in t…
Path Integral for Spin-1 Chain in the Fluctuating Matrix Product State Basis
Jintae Kim, Rajarshi Pal, Jin-Hong Park +1
A new method of writing down the path integral for spin-1 Heisenberg antiferromagnetic chain is introduced. In place of the conventional coherent state basis that leads to the non-…
Low-energy dynamics of the Affleck-Kennedy-Lieb-Tasaki model in the one- and two-triplon basis
Jintae Kim, Rajarshi Pal, Jung Hoon Han
The elementary excitation in the antiferromagnetic spin-1 model known as the Affleck-Kennedy-Lieb-Tasaki (AKLT) Hamiltonian has been described alternatively as magnons or kink-like…