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Predicting topological entanglement entropy in a Rydberg analogue simulator
Linda Mauron1,2, Zakari Denis1,2, Jannes Nys1,2
1Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland.
This study introduces a computational method to predict topological matter dynamics using a quantum-spin-liquid state on a Rydberg atom simulator. The findings reveal that the simulated state lacks a key topological signature, even when prepared adiabatically.
Area of Science:
- Quantum physics
- Condensed matter physics
- Computational physics
Background:
- Predicting dynamical properties of topological matter is computationally challenging.
- Numerical studies are limited to simplified models and lattices.
- Quantum simulators offer a promising avenue for studying complex quantum systems.
Purpose of the Study:
- To develop a computational method for predicting the dynamical preparation of topological states.
- To investigate the topological properties of a quantum-spin-liquid state on a Rydberg atom simulator.
- To compare simulated topological states with experimental observations.
Main Methods:
- Time-dependent correlated ansatz for dynamical state preparation.
- Time-dependent variational Monte Carlo technique for system state representation.
- Accurate modeling of Rydberg atom Hamiltonian and lattice topology.
Main Results:
- Faithful representation of the system state throughout the dynamical protocol.
- Access to global quantities like topological entanglement entropy.
- Confirmation of topological properties during dynamical preparation.
Conclusions:
- The simulated state exhibits local properties similar to resonating-valence-bond states.
- The simulated state lacks the characteristic topological entanglement entropy signature.
- This approach provides insights into topological entanglement dynamics beyond experimental capabilities.
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