Solving Quantum Equations with Gauge Fields: How Explicit Integrators Based on a Bipartite Lattice and Affine Transformations Can Help
© The Physical Society of Japan
This article is on
Explicit Integrators Based on a Bipartite Lattice and a Pair of Affine Transformations to Solve Quantum Equations with Gauge Fields
(JPSJ Editors' Choice)
J. Phys. Soc. Jpn.
89,
054006
(2020)
.
We proposed an explicit numerical integrator consisting of affine transformation pairs resulting from the checkerboard lattice for spatial discretization. It can efficiently solve time evolution equations that describe dynamical quantum phenomena under gauge fields, e.g., generation, motion, interaction of quantum vortices in superconductors or superfluids.
Explicit Integrators Based on a Bipartite Lattice and a Pair of Affine Transformations to Solve Quantum Equations with Gauge Fields
(JPSJ Editors' Choice)
J. Phys. Soc. Jpn.
89,
054006
(2020)
.
Share this topic
Fields
Related Articles
-
Unveiling the Nodal Topology of the Spin-Triplet Superconductor Candidate UTe2
Structure and mechanical and thermal properties in condensed matter
Superconductivity
2026-4-13
Using high-quality UTe2 (Tc = 2.1 K), we identify its nodal gap structure. Field-angle‑resolved specific‑heat reveals a b-axis singularity, supporting spin-triplet superconductivity with nodes along the b axis.
-
Quantum Fluctuations Stabilize Droplets in Dipolar Bose–Einstein Condensate
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
2026-3-9
This study shows how quantum fluctuations can stabilize droplets in the Bose-Einstein condensates consisting of strong magnetic dipolar interactions using path-integral Monte Carlo method, explaining past experimental observations.
-
Do Superconductors Dream of Tsunamis?
— A Cross-disciplinary Journey of Solitons —
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
Superconductivity
2026-2-10
Tsunami-like solitons propagating over rocky-desert-like disordered backgrounds have been identified in a novel soliton equation derived from the theory of parity-mixed superconductivity.
-
A Novel Type of Magnetic Band Splitting in a Fe Spin Ladder System
Dielectric, optical, and other properties in condensed matter
Magnetic properties in condensed matter
Superconductivity
2026-1-22
An investigation of a Fe spin ladder system using angle-resolved photoemission spectroscopy revealed a novel type of magnetic band splitting resembling that in altermagnets.
-
Hybrid Quantum-Classical Computing for Quasiparticle Band Structures
Electron states in condensed matter
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
2025-12-12
The proposed hybrid quantum-classical computing method enables practical calculations of quasiparticle band structures to expand the possibilities for quantum materials research.

