Abstract: Driven quantum systems can lead to novel and interesting phases of matter. In this talk, we will summarize recent results on phase structures and phase transitions in the context of driven Conformal Field Theories in two dimensions and beyond. In particular, we will discuss how non-trivial (dynamical, non-equilibrium) phases emerge that can be classified according to the conjugacy classes of the corresponding sl(2,R) transformation. We will also explain how a geometric (more generally, Holographic) (quantum) gravitational dual description encodes the information of these phases and how the experience of a bulk observer is encoded in the CFT Hamiltonian. Finally, we will conclude with potential future directions.
Quantum mechanics is a theory designed to explain the microcosmos; atoms, and molecules. But in this talk, we show that if the cosmos also follows the laws of quantum mechanics, this can explain the nature of the dark universe. We show that the Schrödinger equation can naturally explain several of the controversial problems with the Standard Model of cosmology, Lambda Cold Dark Matter (LCDM). Furthermore, we see that the quantum mechanical behavior of gravitational waves can offer an alternative way to explain the accelerated expansion of the universe.
