The global regularity problem for the 3D Euler equations remains unsolved. The presence of finite-time singularities (FTS) can signal the breakdown of the PDE as a physical model for fluid flow; it is also conjectured to ...

Polymer nanocomposites (PNCs) have emerged as a significant material for addressing two critical contemporary challenges: the escalating global energy demand and the pervasive electromagnetic interference (EMI) issues. The ...

An extensively pursued strategy for realizing new materials is the creation of interfaces between two similar or dissimilar systems, which can invoke multiple processes like electronic reconstruction, strain-induced ...

Introducing a `twist' degree of freedom to modify the low energy band structures and engineer novel electronic phases from the constituent van der Waals 2D materials, was proposed theoretically more than a decade earlier ...

The world of many-body physics, encompassing both classical and quantum systems, is a breeding ground for novel phases of matter. Recent attention revolves around exotic phases characterized by fractionalized particles, ...

The journey toward realizing practical quantum computing involves overcoming critical challenges in qubit architecture, robust gate performance, and scalable control systems. This thesis addresses these challenges through ...

Quantum chaos and entanglement have appeared as two key intertwined concepts to characterize fundamental quantum correlations of quantum many-body states and to understand the emergence of thermal and non-thermal steady ...

Weyl semimetals (WSMs) are characterized by two linear non-degenerate band crossing inside the bulk of the Brillouin zone. The spin-degeneracy of the bands can be lifted by either broken inversion symmetry or broken ...

The study of quantum phase transitions, in which a system undergoes a change in its ground state and physical properties due to quantum fluctuations at absolute zero temperature, stands as one of the most celebrated themes ...

Cavity optomechanics is a field that explores the interaction between light and motion of matter via radiation pressure force. Such systems mainly consist of an optical/microwave cavity coupled to a mechanical resonator. ...