Explore the relaxation dynamics of imbalance in a disordered XX model with on-site dephasing in this 38-minute lecture by Roopayan Ghosh from the International Centre for Theoretical Sciences. Delve into the complex world of many-body quantum systems and their stability under external influences. Examine mechanisms like Many-body localization (MBL), Floquet MBL, Dynamical Freezing, and Hilbert Space Fragmentation that constrain many-body dynamics in Hilbert space. Gain insights into the interdisciplinary nature of this research, drawing from Condensed Matter Physics, Statistical Mechanics, Quantum Field Theory, and Mathematics. Understand the implications for developing stable quantum devices and improving control over quantum systems. Part of the "Stability of Quantum Matter in and Out of Equilibrium at Various Scales" program, this talk contributes to the ongoing exploration of non-equilibrium physics and quantum matter behavior.