Research Projects (研究項目)
Research Projects (研究項目)
"In general, my research is divided into fields such as these within the framework of theoretical physics. For a more detailed explanation of the research, you can scroll down within this page"
Theoretical Condensed Matter Physics (理論凝聚態物理)
I am interested in applying theoretical physics methods such as quantum mechanics (NR), quantum field theory, electrodynamics, and statistical mechanics to study the properties of condensed matter. In particular, I focus on disordered materials (e.g., amorphous systems) and Dirac materials.
Theoretical Methods for Amorphous Radial Distribution Function Reconstruction
(非晶徑向分佈函數理論重建)
I focus on developing theoretical methods to reconstruct the radial distribution function (RDF) of amorphous solids in a general and predictive manner, based on wavelet transformations. In this work, I construct wavelet functions grounded in the principles of non-relativistic quantum mechanics and semi-empirical approximations. Efforts to integrate machine learning have also been undertaken. Although challenging, several results have demonstrated significant improvements.
Fast-Forward Adiabatic Dirac Dynamics Application to 1D Dirac Materials
(一維狄拉克材料的快速絕熱動力學應用 )
The adiabatic manipulation on 1D Dirac materials (e.g., graphene nanoribbon) impurity exhibits an enhancement to their electrical properties. However, adiabatic manipulation works very slowly. I am interested to employ the fast-forward adiabatic Dirac dynamics (1+1)-dim by Deffner (2015) to create fast-forward potential to accelerate this process
Application of Quantum Field Theory Methods for Condensed Matter
(量子場論於凝聚態的應用)
I have an interest to apply some methods in QFT (e.g., second quantization, many-body Green's function, Wick Theorem, Scattering and Feynman Diagrams) to explain some physical properties of condensed matter system
Density Functional Theory and Applications (密度泛函理論及其應用)
I am interested in studying density functional theory (DFT) as a theory in its own right and in applying it across several fields. These applications include materials physics, chemistry, pharmacy, astrophysics, and various branches of engineering (mechanical engineering, electrical engineering, computer science, photonics, etc.) that deal with atoms and molecules.
Searching the Exact Exchange-Correlation Functional in DFT
(密度泛函理論中的精確交換關聯探索)
Density Functional Theory (DFT) is the most powerful and efficient theoretical framework for solving the many-body Schrödinger equation. P. Hohenberg and W. Kohn made fundamental contributions through the theorems that established DFT, which were later realized in the Kohn–Sham (KS) representation. DFT would become more accurate if the exact Exchange–Correlation functional were discovered, since up to now it has only been approximated. I am motivated to pursue the exact form of the Exchange–Correlation functional for DFT.
Application of DFT for Characterizing Phytopharmaceutical Properties
(密度泛函理論於藥材表徵)
Here, I am interested in using DFT as a tool to characterize phytopharmaceutical properties. At present, I am focusing on the antioxidant capacity of roselle flowers (Hibiscus sabdariffa L.) to prevent singlet oxygen (1O2) as an example of reactive oxygen species, and on its interactions with bacterial or viral proteins.
Application of DFT for Characterizing CSF1R Inhibitors in Alzheimer's Disease
(阿茲海默症CSF1R抑制劑的密度泛函研究 )
I am interested in using density functional theory (DFT) to characterize the properties and potential reactivity of colony-stimulating factor 1 receptor (CSF1R) inhibitors in the context of Alzheimer’s disease. This characterization involves identifying the frontier molecular orbitals of each inhibitor, locating the active sites within CSF1R, and evaluating their potential interactions based on quantum chemical descriptors derived from Janak’s theorem (Koopmans’ theorem adapted for DFT).
Time Dependent DFT for Physics-Guided Hyperspectral Soil Analysis
(TD-DFT於高光譜解混的土壤污染分析 )
I am interested in contributing to the application of time-dependent density functional theory (TD-DFT) as a physics-guided approach to soil contamination analysis through hyperspectral unmixing. In this context, TD-DFT is used to extract the reflectance of electromagnetic waves across different wavelengths resulting from interactions with soil contaminants, and the results are compared with the optimization outcomes of hyperspectral unmixing algorithms. The spectra generated by TD-DFT are further refined using Gaussian broadening and the Kubelka–Munk theory.
Theoretical Quantum Optics (理論量子光學)
I am also interested in the topic of theoretical quantum optics, which includes the utilization of coherent states and squeezed states of light. In particular, I focus on the application of squeezed states of light to generate optical Gottesman–Kitaev–Preskill (GKP) quantum states and their implementation in cutting-edge quantum technologies such as fault-tolerant photonic quantum computing.
Physics Explanation of Optical GKP (Gottesmann-Kitaev-Preskill) Qubit
(光學 GKP 量子位元的物理解釋)
At present, I am attempting to provide a more physical explanation of the finite-energy optical GKP quantum state using Rayleigh–Schrödinger (RS) perturbation theory. Up to now, finite-energy GKP states have only been based on approximations employing a Gaussian envelope. This theoretical analysis has shown that introducing a Gaussian envelope is equivalent to applying a perturbation to the system, and it can also be characterized how wide the Gaussian envelope must be in order for the finite-energy GKP quantum state to remain intact. The manuscript for publication is currently being prepared.
Generating Optical GKP (Gottesmann-Kitaev-Preskill) Qubits
(光學 GKP 量子比特生成)
Currently, a lot of researchers attempt to create a fault-tolerant photonic-based quantum computer. The optical GKP quantum state is one of the candidates to create a fault-tolerant continuous variables (CV) photonic qubit. However, creating this GKP state is not easy. I am interested to investigate and characterize how to generate this state using Single-Photon Added SQZ theoretically
Extra Dimensions Effect in QM (量子系統中的額外維度影響 )
I am interested in exploring the behavior of non-relativistic quantum particles confined within specific curved geometries such as cylinders, spheres, and others, under the influence of external potentials. The aim is to understand how the energy levels of quantum particles emerge in such settings, which can serve as a simple model for studying extra dimensions.
Quantum Partice on a Cylindrical Surface under a Stark-like Potential
Here, I consider a single non-relativistic quantum particle confined to the surface of a cylinder with radius Ro and length L, inspired by Kaluza–Klein extra dimension. Additionally, I introduce an external potential resembling a Stark-like interaction along the cylinder’s axis, with a component that depends on the angular coordinate. Through this setup, I aim to investigate the implications of the added potential on the particle’s energy levels, and how these results might offer insights for probing extra dimensions using a simple system.
Quantum Thermodynamics (量子熱力學)
I am interested in the problem of interactions between quantum systems—whether simple or complex—and their environment, particularly in relation to temperature. Here, I place emphasis on the role of environmental temperature as an external perturbation affecting the quantum system. In this way, the quantum system interacting with temperature can be more effectively described within the framework of Rayleigh–Schrödinger perturbation theory and related approaches.
Quantum Thermodynamics via Rayleigh-Schrodinger Perturbation
When a quantum system interact with a heat bath of temperature T, this temperature can be described as a perturbative potential and shift the energy profile of it. This will be so obvious in a small system. By the framework of Hill's Thermodynamics and RS Perturbation Theory, I am intersted to apply these framework to see the temperature dependency of nanomaterials physical properties (e.g., optical and electronics).
Quantum Multiverse Model (量子多元宇宙模型)
I am interested in exploring the development of Nathan Rosen’s idea of the quantum miniuniverse from 1993, which assumes that when the universe is composed solely of dust, its states can be determined by a Schrödinger equation derived from the Friedmann equation. Specifically, I am interested in constructing an N‑miniuniverse model based on Rosen’s framework and introducing an inter‑universe interaction potential in order to study quantum cosmology.
Modeling Dust Multi-Miniverse via Rosen Quantization
In 1993, Nathan Rosen producing a theory of mass quantization that obtained from a set of Friedmann equation with the assumption of dust universe. I am interested to use his framework to explain the multi-miniverse that might be another way to explain what happens during inflation era
Theoretical Physics for Robotics Science (理論物理於機器人學 )
I am interested in applying Lagrangian and Hamiltonian mechanics as part of theoretical physics methods to investigate the dynamical behavior of robotic manipulators. In addition, these methods are supported by nonlinear dynamics and stability analysis, as well as perspectives from group theory and differential geometry. The ultimate goal is to establish stability criteria and explore the possibility of physics-based control schemes that could serve as input for robotics engineers and scientists.
Adapted from: Zhen, S.C., Meng, C.Q, Liu, X.L., and Chen, Y.H (2023) (Journal of Vibration and Control 30 (19-20): 4351-4367
Slow-Varying 2-DOF Planar Manipulator Robot under Stokes damping
Here, I am working on how to use these approaches (Lagrangian Mechanics and Dynamical Systems Theory) to find the torque stability criteria for operating an arm robot (2-DOF planar) with the addition of Stokes damping (identical and slow-varying case). The result is already published in Advances Engineering Research proceedings and can be accessed in publication page.
Theoretical and Computational Astrophysics (理論與計算天文物理)
I am also interested in theoretical and computational astrophysics to provide a physical explanation of the universe. Specifically, I focus on galactic physics through N-body simulation codes and their application in addressing the Fermi paradox. The N-body code used is based on GADGET-2 by Volker Springel (2005), and includes calculations involving dark matter.
Do Astrophysical Hazards Solve Fermi Paradox?
The Fermi paradox questions why we have not yet observed advanced technological civilizations, despite the universe being vast and ancient. Previous research by Wright et al. (2021) suggested that if such civilizations truly exist, they could colonize the Milky Way rapidly with the aid of stellar rotation within the galaxy. However, their study did not incorporate any astrophysical events. In my work, I combine N-body simulations with Python-based modeling of hazardous astrophysical events. The results show that catastrophic events such as asteroids, supernovae (SNe), and giant molecular clouds (GMCs) could annihilate such colonies, thereby offering a physical explanation for the Fermi paradox. This paper has been submitted to MNRAS Letters.
Do Galaxy Merger Solve Fermi Paradox?
In previous research, hazardous astrophysical events showed promising results as a physical explanation for the Fermi paradox. However, if advanced technological civilizations had existed in the past—prior to the formation of new galaxies—could their absence in current observations also be due to the merger of two galaxies? To explore this possibility, I conducted additional N-body simulations. This study has been completed and is currently in the manuscript writing stage.
Last updated : March 24, 2026