Continuous Transition out of Fractional Quantum Hall states

Quantum phase transitions beyond the Landau paradigm are a focal point of condensed matter research, as they challenge conventional classification schemes. A prominent example of such a transition is the bosonic Laughlin state to superfluid transition. Despite several proposed field theories, this transition has evaded both experimental and numerical verification. In this talk, I will present our numerical results using infinite density matrix renormalization group, demonstrating a periodic-potential-driven continuous transition from the bosonic Laughlin state to the superfluid in the half-filled lowest Landau level. The emergence of an $SO(3)$ symmetry at the critical point provides strong evidence for an underlying QED$_3$-Chern-Simons theory. If time permits, I will also discuss other continuous transitions, including the Pfaffian daughter states to Jain sequence transition, and the fractional quantum Hall states to charge density wave transition.