A comparison of Positive-P and truncated Wigner methods for the dynamics of a minimal atom-cavity model

Authors

  • Richelle Jade L. Tuquero ⋅ PH National Institute of Physics, University of the Philippines, Diliman
  • Jayson G. Cosme ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We investigate various phase-space methods for simulating the Dicke model. One such phase-space method is the positive-P representation. This method is implemented by transforming the Hamiltonian using the Schwinger boson representation. The resulting differential equations for the positive-P representation yield a nondiagonal diffusion matrix. Compared to dissipative discrete truncated Wigner method, the positive-P representation applied to the Dicke model produces divergent results, signalling the breakdown of the method, at relatively early times. Lastly, we compare the dynamics for collective and individual spins.

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Article ID

SPP-2023-3H-04

Section

Theoretical and Mathematical Physics

Published

2023-07-04

How to Cite

[1]
RJL Tuquero and JG Cosme, A comparison of Positive-P and truncated Wigner methods for the dynamics of a minimal atom-cavity model, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-3H-04 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-3H-04.