Solving Quantum Equations with Gauge Fields: How Explicit Integrators Based on a Bipartite Lattice and Affine Transformations Can Help


2021-3-15

JPS Hot Topics 1, 012

https://doi.org/10.7566/JPSHT.1.012

© The Physical Society of Japan

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Explicit Integrators Based on a Bipartite Lattice and a Pair of Affine Transformations to Solve Quantum Equations with Gauge Fields
(JPSJ Editors' Choice)

Tetsuya Matsuno, Edmund Soji Otabe, and Yasunori Mawatari
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)

Tetsuya Matsuno, Edmund Soji Otabe, and Yasunori Mawatari
J. Phys. Soc. Jpn. 89, 054006 (2020).

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