Please join us for Ph.D. candidate Abhishek Kumar’s thesis defense.
Abstract: Non-equilibrium quantum many-body systems like periodically driven (Floquet) systems exhibit much richer dynamics than their equilibrium counterparts. A striking example is a time crystal, a novel non-equilibrium phase of matter which is forbidden in equilibrium. This thesis concentrates on studying Floquet many-body systems, in particular, higher-order Floquet topology, light-matter interactions in the Floquet systems, and interesting physics of Floquet many spin systems with a view towards quantum simulation, e.g., with trapped ions. The model Hamiltonians studied in this thesis are of two types: Floquet-Bloch Hamiltonian and Floquet many-spin Hamiltonian.