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- W4386032156 abstract "In this work we employ a unitary transformation with a suitable parameter to convert the quantum Rabi-Stark model into a Jaynes-Cummings-like model. Subsequently we derive the analytical energy spectra in the ultrastrong coupling regime. The energy spectra exhibit a phenomenon known as spectral collapse, indicating the instability of the model due to the unboundedness of its energy from below at higher coupling parameters. To stabilize the Rabi-Stark model, we introduce a nonlinear photon-photon interaction term. We then compare the modified model with the original model in the classical oscillator limit. Interestingly, we observe a regular ``staircase'' pattern in the mean photon number of the ground state. This pattern exhibits a fixed slope and equal step width, which we determine analytically. Moreover, we analytically determine the phase boundary, which slightly differs from that in the original Rabi-Stark model. These findings offer insights into the investigation of those superradiant phase transitions that are unbounded from below due to the phenomenon of spectral collapse." @default.
- W4386032156 created "2023-08-22" @default.
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- W4386032156 date "2023-08-21" @default.
- W4386032156 modified "2023-09-25" @default.
- W4386032156 title "Solving and completing the Rabi-Stark model in the ultrastrong-coupling regime" @default.
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- W4386032156 doi "https://doi.org/10.1103/physreva.108.023720" @default.
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