144 citations · 226 across the 12 of their papers we have counts for
12 papers
Multi-Particle Quantum Walks in a Dipole-Conserving Bose-Hubbard Model
Sooshin Kim, Byungmin Kang, Perrin Segura +4
When particles move through a crystal or optical lattice, their motion can sometimes become frozen by strong external forces -- yet collective motion may still emerge through subtl…
2D Quon Language: Unifying Framework for Cliffords, Matchgates, and Beyond
Byungmin Kang, Chen Zhao, Zhengwei Liu +2
Simulating generic quantum states and dynamics is practically intractable using classical computers. However, certain special classes -- namely Clifford and matchgate circuits -- p…
Robust Interlayer-Coherent Quantum Hall States in Twisted Bilayer Graphene
Dohun Kim, Byungmin Kang, Yong-Bin Choi +5
We introduce a novel two-dimensional electronic system with ultrastrong interlayer interactions, namely twisted bilayer graphene with a large twist angle, as an ideal ground for re…
Many-Body Quadrupolar Sum Rule for Higher-Order Topological Insulator
Wonjun Lee, Gil Young Cho, Byungmin Kang
The modern theory of polarization establishes the bulk-boundary correspondence for the bulk polarization. In this paper, we attempt to extend it to a sum rule of the bulk quadrupol…
Metrology of Band Topology via Resonant Inelastic X-ray Scattering
Sangjin Lee, Kyung-Hwan Jin, Byungmin Kang +2
Topology is a central notion in the classification of band insulators and characterization of entangled many-body quantum states. In some cases, it manifests as quantized observabl…
Sign-Problem-Free Variant of Complex Sachdev-Ye-Kitaev Model
Byungmin Kang, Junggi Yoon
We construct a sign-problem free variant of the complex Sachdev-Ye-Kitaev (SYK) model which keeps all the essential properties of the SYK model, including the analytic solvability…
Superuniversality from disorder at two-dimensional topological phase transitions
Byungmin Kang, S. A. Parameswaran, Andrew C. Potter +2
We investigate the effects of quenched randomness on topological quantum phase transitions in strongly interacting two-dimensional systems. We focus first on transitions driven by…
Many-Body Invariants for Chern and Chiral Hinge Insulators
Byungmin Kang, Wonjun Lee, Gil Young Cho
We construct new many-body invariants for 2d Chern and 3d chiral hinge insulators, which are characterized by quantized pumping of dipole and quadrupole moments. The invariants tha…
Many-Body Order Parameters for Multipoles in Solids
Byungmin Kang, Ken Shiozaki, Gil Young Cho
We propose many-body order parameters for bulk multipoles in crystalline systems, which originate from the non-trivial topology of the nested Wilson loop spectrum. The many-body or…
Particle-Hole Mirror Symmetries around the Half-Filled Shell: The Quantum Numbers and Algebraic Structure of Composite Fermions
W. C. Haxton, Daniel J. Haxton, Byungmin Kang
Composite fermions (CFs) of the fractional quantum Hall effect are described as spherical products of electron and vortex spinors, built from underlying L=1/2 ladder operators alig…
Universal crossover from ground state to excited-state quantum criticality
Byungmin Kang, Andrew C. Potter, Romain Vasseur
We study the nonequilibrium properties of a nonergodic random quantum chain in which highly excited eigenstates exhibit critical properties usually associated with quantum critical…
The Neutral Excitations in the Gaffnian State
Byungmin Kang, Joel E. Moore
We study a model fractional quantum Hall (FQH) wavefunction called the Gaffnian state, which is believed to represent a gapless, strongly correlated state that is very different fr…