Research
Overview
My research lies in theoretical quantum condensed matter physics, focusing on nonequilibrium dynamics, transport, and noise effects in quantum systems. I work on both topological platforms and lattice models, combining analytical and numerical approaches to study realistic quantum systems under finite-time driving, disorder, and environmental coupling.
Majorana Bound States and Topological Superconductivity
A central part of my research focuses on Majorana bound states in engineered topological superconductors. I study transport signatures, distinguishing genuine topological zero modes from trivial Andreev bound states, and analyze how noise and finite-time driving affect their manipulation.
I have investigated transport of Majorana modes in driven systems, including piano-key architectures, and studied how noise influences braiding fidelity and gate operations. These results provide insight into realistic constraints for topological quantum computation.
Nonequilibrium Transport and Correlation Dynamics
I study transport and correlation spreading in strongly correlated and quasi-periodic lattice systems. My work has identified:
- Superdiffusive transport near criticality
- Domain-wall dynamics in metallic regimes
- Subdiffusive behavior in open systems
These results highlight how boundary conditions, disorder, and environmental coupling affect quantum transport far from equilibrium.
Optimal Control and Noise-Resilient Quantum Dynamics
Another direction of my research focuses on optimized finite-time driving in quantum systems. Using models such as the transverse-field Ising model, I develop protocols that suppress excitations while remaining robust to noise.
This work clarifies trade-offs between speed, control complexity, and noise-induced errors, and provides a framework for designing efficient quantum control strategies.
Non-Hermitian and Open Quantum Systems
Currently, I am investigating non-Hermitian lattice models with asymmetric hopping and complex potentials. These systems exhibit:
- Localization–delocalization transitions
- Mobility edges
- Non-Hermitian skin effect
My focus is on understanding how dissipation and environmental coupling modify transport and dynamical properties in open quantum systems.
Methods and Tools
- Exact diagonalization
- Time-dependent simulations
- Non-equilibrium Green’s function (NEGF) methods
- Numerical simulations (Python, MATLAB)
Future Directions
My future work aims to extend these studies toward interacting quantum systems, exploring how noise, dissipation, and control strategies influence complex many-body dynamics while maintaining close connection with experimentally relevant observables.