Real-time dynamics of a critical resonating valence bond spin liquid
Résumé
Implementation of the hard-core-dimer Hilbert space in cold-Rydberg-atom simulators opens a route of investigating real-time dynamics of dimer liquids under Hamiltonian quench. Here, we consider an initial resonating valence bond state on the square lattice realizing a critical Coulomb phase with algebraic and dipolar correlations. Using its representation as a special point of a broad manifold of )-symmetric, translationally invariant, projected entangled pair states (PEPS), we compute its nonequilibrium dynamics upon turning on intersite Heisenberg interactions. We show that projecting the time evolution onto the PEPS manifold remains accurate at small timescales. We also find that the state evolves within a PEPS submanifold characterized by a ) gauge symmetry, suggesting that the Coulomb phase is stable under such unitary evolution.