Draft:Tavis-Cummings model

The Tavis-Cummings model is a quantum optical theoretical system describing an ensemble of identical two-level atoms coupled symmetrically to a single-mode quantized bosonic field[1]. The Tavis-Cummings model extends the Jaynes-Cummings model to larger spin-numbers representing collections of multiple atoms, and differs from the Dicke model in its use of the rotating-wave approximation to conserve the system's total number of excitations. Originally modeled by Michael Tavis and Fred Cummings to unify representations of atomic gases in electromagnetic fields under a single fully quantum Hamiltonian, as Robert Dicke had done previously using perturbation theory, the Tavis-Cummings model's restriction to a single field-mode with negligible counterrotating interactions simplifies the system's mathematics while preserving the breadth of its dynamics. The Tavis-Cummings model demonstrates superradiance[2], bright and dark states[3], Rabi oscillations and spontaneous emission, and other features of interest in quantum electrodynamics, quantum control and computation, atomic and molecular physics, and many-body physics[4]. The model has been experimentally tested to determine the conditions of its viability[5][6], and realized in semiconducting[7] and superconducting qubits[2][3].

  1. ^ Cite error: The named reference :0 was invoked but never defined (see the help page).
  2. ^ a b Wang, Zhen; Li, Hekang; Feng, Wei; Song, Xiaohui; Song, Chao; Liu, Wuxin; Guo, Qiujiang; Zhang, Xu; Dong, Hang; Zheng, Dongning; Wang, H.; Wang, Da-Wei (2 January 2020). "Controllable Switching between Superradiant and Subradiant States in a 10-qubit Superconducting Circuit". Physical Review Letters. 124 (1): 013601. arXiv:1907.13468. Bibcode:2020PhRvL.124a3601W. doi:10.1103/PhysRevLett.124.013601. PMID 31976713 – via APS.
  3. ^ a b Cite error: The named reference :2 was invoked but never defined (see the help page).
  4. ^ Dong, Zhiyuan; Zhang, Guofeng; Wu, Ai-Guo; Wu, Re-Bing (1 April 2023). "On the Dynamics of the Tavis-Cummings Model". IEEE Transactions on Automatic Control. 68 (4): 2048–2063. arXiv:2110.14174. doi:10.1109/TAC.2022.3169582 – via arXiv.
  5. ^ Cite error: The named reference :3 was invoked but never defined (see the help page).
  6. ^ Johnson, Aisling; Blaha, Martin; Ulanov, Alexander E.; Rauschenbeutel, Arno; Schneeweiss, Philipp; Volz, Jürgen (11 December 2019). "Observation of Collective Superstrong Coupling of Cold Atoms to a 30-m Long Optical Resonator". Physical Review Letters. 123 (24): 243602. arXiv:1905.07353. Bibcode:2019PhRvL.123x3602J. doi:10.1103/PhysRevLett.123.243602. PMID 31922835 – via APS.
  7. ^ van Woerkom, D.J.; Scarlino, P; Ungerer, J.H.; Müller, C.; Koski, J.V.; Landig, A.J.; Reichl, C.; Wegscheider, W.; Ihn, T.; Ensslin, K.; Wallraff, A. (31 October 2018). "Microwave Photon-Mediated Interactions between Semiconductor Qubits". Physical Review X. 8 (4): 041018. arXiv:1806.09902. Bibcode:2018PhRvX...8d1018V. doi:10.1103/PhysRevX.8.041018 – via APS.