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arXiv · 2206.07968

Real-time dynamics of a critical Resonating Valence Bond spin liquid

Ravi Teja Ponnaganti·Matthieu Mambrini·Didier Poilblanc
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Abstract

Implementation of the hardcore-dimer Hilbert space in cold Rydberg-atom simulators opens a new route of investigating real-time dynamics of dimer liquids under Hamiltonian quench. Here, we consider an initial Resonating Valence Bond (RVB) 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 SU($2$)-symmetric, translationnally invariant, Projected Entangled Pair States (PEPS), we compute its non-equilibrium dynamics upon turning on inter-site Heisenberg interactions. We show that projecting the time-evolution onto the PEPS manifold remains accurate at small time scales. We also find that the state evolves within a PEPS sub-manifold characterized by a U($1$) gauge symmetry, suggesting that the Coulomb phase is stable under such unitary evolution.

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Ravi Teja Ponnaganti, Matthieu Mambrini, Didier Poilblanc. 2022-06-16. Real-time dynamics of a critical Resonating Valence Bond spin liquid. https://doi.org/10.1103/physrevb.106.195132

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