Benchmarking discrete truncated Wigner approximation and neural network quantum states with the exact dynamics in a Rydberg atomic chain

Naik, Vighnesh; Shenoy, Varna; Li, Weibin; Nath, Rejish

Abstract

We benchmark the discrete truncated Wigner approximation (DTWA) and Neural quantum states (NQS) based on restricted Boltzmann-like machines with the exact excitation and correlation dynamics in a chain of ten Rydberg atoms. The initial state is where all atoms are in their electronic ground state. We characterize the excitation dynamics using the maximum and time-averaged number of Rydberg excitations. DTWA results are different from the exact dynamics for large Rydberg-Rydberg interactions. In contrast, by increasing the number of hidden spins, the NQS can be improved but still limited to short-time dynamics. Interestingly, irrespective of interaction strengths, the time-averaged number of excitations obtained using NQS is in excellent agreement with the exact results. Concerning the calculation of quantum correlations, for instance, second-order bipartite and average two-site Rényi entropies, NQS looks more promising. Finally, we discuss the existence of a power law scaling for the initial growth of average two-site Rényi entropy.

Citation

Naik, V., Shenoy, V., Li, W., & Nath, R. (2024). Benchmarking discrete truncated Wigner approximation and neural network quantum states with the exact dynamics in a Rydberg atomic chain. Physica Scripta, 99(6), Article 065925. https://doi.org/10.1088/1402-4896/ad3d9d

• Journal Article Type: Article
• Acceptance Date: Apr 11, 2024
• Online Publication Date: May 6, 2024
• Publication Date: 2024-06
• Deposit Date: Apr 12, 2024
• Publicly Available Date: May 7, 2025
• Journal: Physica Scripta
• Print ISSN: 0031-8949
• Electronic ISSN: 1402-4896
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 99
• Issue: 6
• Article Number: 065925
• DOI: https://doi.org/10.1088/1402-4896/ad3d9d
• Keywords: Condensed Matter Physics; Mathematical Physics; Atomic and Molecular Physics, and Optics
• Public URL: https://nottingham-repository.worktribe.com/output/33567493
• Publisher URL: https://iopscience.iop.org/article/10.1088/1402-4896/ad3d9d