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Jaynes-Cummings interaction with a traveling light pulse
Published 7 Mar 2024 in quant-ph | (2403.04383v1)
Abstract: The Jaynes-Cummings model provides a simple and accurate description of the interaction between a two-level quantum emitter and a single mode of quantum radiation. Due to the multimode continuum of eigenmodes in free space and in waveguides, the Jaynes-Cummings model should not be expected to properly describe the interaction between an emitter and a traveling pulse of quantum radiation. In this article, we review a cascaded quantum system approach that accurately describes the interaction of a quantum system with an incident quantum pulse of radiation. This approach leads to different formulations of the theory, each of a similar structure as the Jaynes-Cummings model but with important modifications.
- E. Jaynes and F. Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser, Proceedings of the IEEE 51, 89 (1963).
- P. Filipowicz, J. Javanainen, and P. Meystre, Theory of a microscopic maser, Phys. Rev. A 34, 3077 (1986).
- G. Rempe, H. Walther, and N. Klein, Observation of quantum collapse and revival in a one-atom maser, Phys. Rev. Lett. 58, 353 (1987).
- M. M. Lund, F. Yang, and K. Mølmer, Perfect splitting of a two-photon pulse, Phys. Rev. A 107, 023715 (2023).
- J. T. Shen and S. Fan, Coherent photon transport from spontaneous emission in one-dimensional waveguides, Opt. Lett. 30, 2001 (2005).
- J.-T. Shen and S. Fan, Strongly correlated two-photon transport in a one-dimensional waveguide coupled to a two-level system, Phys. Rev. Lett. 98, 153003 (2007a).
- J.-T. Shen and S. Fan, Strongly correlated multiparticle transport in one dimension through a quantum impurity, Phys. Rev. A 76, 062709 (2007b).
- V. Rupasov and V. Yudson, Rigorous theory of cooperative spontaneous emission of radiation from a lumped system of two-level atoms: Bethe ansatz method, Zh. Eksp. Teor. Fiz 87, 1617 (1984).
- Y. Shen and J.-T. Shen, Photonic-Fock-state scattering in a waveguide-QED system and their correlation functions, Phys. Rev. A 92, 033803 (2015).
- G. Z. Wen-Long Li and R.-B. Wu, On the control of flying qubits (2021), arXiv:2111.00143 [quant-ph] .
- T. Shi, D. E. Chang, and J. I. Cirac, Multiphoton-scattering theory and generalized master equations, Physical Review A 92, 10.1103/physreva.92.053834 (2015).
- B. Q. Baragiola and J. Combes, Quantum trajectories for propagating fock states, Phys. Rev. A 96, 023819 (2017).
- A. Dąbrowska, G. Sarbicki, and D. Chruściński, Quantum trajectories for a system interacting with environment in n-photon state, J. Phys. A 52, 105303 (2019).
- C. W. Gardiner, Driving a quantum system with the output field from another driven quantum system, Phys. Rev. Lett. 70, 2269 (1993).
- H. J. Carmichael, Quantum trajectory theory for cascaded open systems, Phys. Rev. Lett. 70, 2273 (1993).
- J. Combes, J. Kerckhoff, and M. Sarovar, The slh framework for modeling quantum input-output networks, Adv. Phys. X 2, 784 (2017).
- A. Eckstein, B. Brecht, and C. Silberhorn, A quantum pulse gate based on spectrally engineered sum frequency generation, Opt. Express 19, 13770 (2011).
- A. H. Kiilerich and K. Mølmer, Input-output theory with quantum pulses, Phys. Rev. Lett. 123, 123604 (2019).
- A. H. Kiilerich and K. Mølmer, Quantum interactions with pulses of radiation, Phys. Rev. A 102, 023717 (2020).
- V. R. Christiansen, A. H. Kiilerich, and K. Mølmer, Interactions of quantum systems with pulses of quantized radiation: From a cascaded master equation to a traveling mode perspective, Phys. Rev. A 107, 013706 (2023).
- C. W. Gardiner and M. J. Collett, Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation, Phys. Rev. A 31, 3761 (1985).
- J. Johansson, P. Nation, and F. Nori, Qutip: An open-source python framework for the dynamics of open quantum systems, Computer Physics Communications 183, 1760 (2012).
- J. Johansson, P. Nation, and F. Nori, Qutip 2: A python framework for the dynamics of open quantum systems, Computer Physics Communications 184, 1234 (2013).
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