Vighnesh Naik
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.
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 |
Files
This file is under embargo until May 7, 2025 due to copyright restrictions.
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