Theories of fundamental particles are tested against collider experiments by computing scattering predictions. The traditional Feynman diagram approach requires complicated integrals. Our method recursively constructs many-particle scattering results from few-particle ones, using basic calculus and combinatorics.
The interactions between consituents in quantum materials are hard to know exactly, and difficult to solve numerically. We incorporate random matrices to represent them and exploit their mathematical properties to facilitate computation.
Comparing the entanglement in two different quantum states is an important question. In general, quantum states are represented by a density matrix. They are big matrices, so such a description, despite being complete, can be unwieldly. Thus, we compute, from the density matrices, a single number measure. Such measure should faithfully reflect the property while being easy to compute, and for mixed-many body states is still elusive. We introduce a novel measure for this purpose, which bears meaning from quantum informational operation, that is not reflected in previous methods.
8-fold speed up of a quantum lattice solver with CPU multi-threading, GPU CUDA from Pytorch, 70% reduction of memory consumption by custom memory management.
80% reduction in costly functional calls through pre-simulation scheme, built a command line user interface
100% speed up of decision tree traversal and 50% increase in search depth.
Efficient spatial-order traversal and overlap area computation.
Published in JHEP, 2017, 2017
Symmetry information can be extracted from soft limit of scattering amplitudes. We explore the double soft limit, with two soft particles, and show that additional information is extracted compared to single soft theorems.
Recommended citation: Li, Zhi-Zhong, Hung-Hwa Lin, and Shun-Qing Zhang. "On the symmetry foundation of double soft theorems." Journal of High Energy Physics 2017.12 (2017): 1-45. https://link.springer.com/article/10.1007/JHEP12(2017)032
Published in Physical Review D, 2018
We tested the equivalence between the newly discovered symmetry, the extended BMS symmetry, and the ordinary on-shell gauge symmetry, by computing scattering amplitudes as thought experiments.
Recommended citation: Li, Zhi-Zhong, Hung-Hwa Lin, and Shun-Qing Zhang. "Infinite soft theorems from gauge symmetry." Physical Review D 98.4 (2018): 045004. https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.045004
Published in arxiv, 2022
There has yet to be an operationally meaningful entanglement measure for mixed many-body states. We show that a recently formulated measure, the positive-parital-transpose (PPT) entanglement cost, is equal to negativity for some topological stabilizer models, providing the first operational meaning to their mixed state entanglement measure.
Recommended citation: Lu, Tsung-Cheng, En-Jui Kuo, and Hung-Hwa Lin. "Entanglement cost in topological stabilizer models at finite temperature." arXiv preprint arXiv:2201.08382 (2022). https://arxiv.org/abs/2201.08382
Published in arxiv, 2022
Band-crossing points and conducting surface states can be hard to compute for realistic systems. We adopt a random matrix model from previous work to compute the statistics of these topological properties
Recommended citation: Lin, Hung-Hwa, et al. "Fluctuation of Chern Numbers in a Parametric Random Matrix Model." arXiv preprint arXiv:2207.12562 (2022). https://arxiv.org/abs/2207.12562
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Undergraduate course, University 1, Department, 2014
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Workshop, University 1, Department, 2015
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