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Extended transformed rotating-wave approximation for the two-photon quantum Rabi model
Abstract We propose an extended transformed rotating-wave approximation (ETRWA) for the two-photon quantum Rabi model. This method retains the spin-dependent squeezing transformation and the qubit-frequency-dependent parameter-selection condition of the existing TRWA, but replaces its excitation-independent vacuum coefficients with exact photon-number-dependent diagonal and nearest-neighbour two-photon matrix elements.
Analytical solution of driven time-dependent mesoscopic circuits
Abstract When a time-dependent harmonic system is further driven by an external source, it presents significant challenges to obtaining analytical solutions for the system. This paper applies the Lewis-Riesenfeld invariant method to a mesoscopic time-dependent dissipative inductor-capacitor (RLC) circuit with an external source.
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