Mean photon number dependent variational method to the Rabi model
arXiv:1702.07131 · doi:10.1088/1367-2630/17/4/043001
Abstract
We present a mean-photon-number dependent variational method, which works well in whole coupling regime if the photon energy is dominant over the spin-flipping, to evaluate the properties of the Rabi model for both the ground state and the excited states. For the ground state, it is shown that the previous approximate methods, the generalized rotating-wave approximation (only working well in the strong coupling limit) and the generalized variational method (only working well in the weak coupling limit), can be recovered in the corresponding coupling limits. The key point of our method is to tailor the merits of these two existing methods by introducing a mean-photon-number dependent variational parameter. For the excited states,our method yields considerable improvements over the generalized rotating-wave approximation. The variational method proposed could be readily applied to the more complex models, for which an analytic formula is difficult to be formulated.
13 pages, 5 figures
References in corpus (9)
- Quantum fluids of light
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Generalized rotating-wave approximation for arbitrarily large coupling
- Accurate numerical solution to the finite-size Dicke model
- Qubit-oscillator system: An analytical treatment of the ultra-strong coupling regime