Discrete time crystals and classical logic gates in coupled open Dicke models

@misc{g2026discrete,
  title = {{Discrete time crystals and classical logic gates in coupled open Dicke models}},
  author = {Emmanuel D. G. U and Roy D. Jara Jr. and Jayson G. Cosme},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23043},
  eprint = {2610.23043},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23043},
}

TY  - UNPB
TI  - Discrete time crystals and classical logic gates in coupled open Dicke models
AU  - Emmanuel D. G. U
AU  - Roy D. Jara Jr.
AU  - Jayson G. Cosme
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23043
UR  - https://arxiv.org/abs/2610.23043
AB  - We investigate the dynamics of coupled discrete time crystals (DTCs) in the coupled Dicke model or Dicke dimer (DD) with dissipation. By numerically simulating the mean-field dynamics of the system, we show that coupling two DTCs decreases their oscillation amplitude following a transient relaxation period. For sufficiently strong coupling, the coupled DTCs become unstable, resulting in the system relaxing towards the normal phase (NP). We demonstrate that the relaxation time diverges near the critical coupling strength, suggesting a continuous phase transition. Using the truncated Wigner approximation (TWA), we explore how the dynamics are affected by the introduction of quantum fluctuations. We also consider a scenario in which an NP is briefly coupled to a DTC, seeding the NP to transform into a DTC that is either synchronized or anti-synchronized relative to the DTC. We investigate the robustness of this phenomenon in the presence of noise. Using these results, we propose a scheme to perform NAND and NOR operations with three DTCs by sequentially coupling the input and output sites. We identify the parameter regimes in which the logic gate architecture remains valid, and investigate how the protocol is affected by the presence of quantum fluctuations.
ER  -