- Quantum many-body systems
- Physics of Superconductivity and Magnetism
- Quantum and electron transport phenomena
- Iron-based superconductors research
- Nonlinear Waves and Solitons
- Neural Networks and Reservoir Computing
- Rare-earth and actinide compounds
- Molecular spectroscopy and chirality
- Model Reduction and Neural Networks
- Quantum Chromodynamics and Particle Interactions
- Algebraic structures and combinatorial models
- Quantum chaos and dynamical systems
- Tensor decomposition and applications
- Advanced Materials Characterization Techniques
- Nonlinear Photonic Systems
- Advanced Condensed Matter Physics
Florida State University
2020-2024
National High Magnetic Field Laboratory
2020-2024
California State University Los Angeles
2018-2019
Non-equilibrium properties of quantum materials present many intriguing properties, among them athermal behavior, which violates the eigenstate thermalization hypothesis. Such behavior has primarily been observed in disordered systems. More recently, experimental and theoretical evidence for eigenstates, known as "quantum scars" emerged non-integrable disorder-free models one dimension with constrained dynamics. In this work, we show existence scar eigenstates investigate their dynamical...
Exact solutions of quantum lattice models serve as useful guides for interpreting physical phenomena in condensed matter systems. Prominent examples integrability appear one dimension, including the Heisenberg chain, where Bethe ansatz method has been widely successful. Recent work noted that certain non-integrable harbor many-body scar states, which form a superspin regular states hidden an otherwise chaotic spectrum. Here we consider simplest model, alternating...
Periodically driven quantum systems host exotic phenomena that often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence conservation laws, are realized by controlling drive frequency. Recent experimental developments synthetic matter, such as superconducting qubits cold atoms, opened avenues for implementing local engineering which can achieve spatially modulated control states. Here, we uncover novel memory...
The Fermi surface pockets that lie at the corner of two-iron Brillouin zone in heavily electron-doped iron selenide superconductors are accounted for by an extended Hubbard model over square lattice atoms includes principal 3d xz and yz orbitals. At half filling, absence intra-orbital next-nearest neighbor hopping, perfect nesting between electron-type hole-type surfaces center one-iron is revealed. It results hidden magnetic order presence frustration within mean field theory. An...
Nonintegrable many-body quantum systems typically thermalize at long times through the mechanism of chaos. However, some exceptional systems, such as those harboring scars, break thermalization, serving testbeds for foundational problems statistical physics. Here, we investigate a class nonintegrable bond-staggered models that is endowed with large number zero-energy eigenstates and possesses non-Abelian internal symmetry. We use character theory to give lower bound on degeneracy, which...
Thermalization and its breakdown in isolated systems has led to a deeper understanding of non-equilibrium quantum states their dependence on initial conditions. This is prominently highlighted by the existence scars, special athermal with an underlying effective superspin structure, embedded otherwise chaotic many-body spectrum. Spin $XXZ$ models variants one higher dimension have been shown host exact exhibiting perfect revivals spin helix that are realizable synthetic condensed matter...
Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence conservation laws, are realized by controlling drive frequency. These regimes can be leveraged to construct memories potential applications information processing. Solid state cold atom experimental architectures opened avenues for implementing local engineering achieve spatially modulated...