We investigate exotic quantum phases and phase transitions in strongly correlated systems, including supersolid phases, quantum spin liquids, and deconfined quantum criticality on geometrically frustrated lattices such as the triangular and kagome lattices. We also study the microscopic mechanisms of unconventional superconductivity, including d-wave pairing and spinon singlets in doped systems. Our work explores the interplay between topology, frustration, strong correlations, and quantum fluctuations using advanced numerical methods.
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We develop and apply cutting-edge numerical algorithms, including quantum Monte Carlo methods, Exact diagonalization, and machine learning techniques, to study strongly correlated quantum systems. We also explore quantum optimization and simulation strategies on quantum simulators.
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We explore quantum-enhanced metrology using optical lattice clocks and Floquet-engineered systems. Our research covers high-precision Rabi spectroscopy, interference of Floquet modes, Rydberg Atom Interferometry, and the application of quantum many-body states to improve measurement sensitivity beyond classical limits.
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