Low frequency Rabi spectroscopy of dissipative two level systems. The dressed state approach
arXiv:cond-mat/0609144 · doi:10.1103/PhysRevB.76.104520
Abstract
We have analyzed a dissipative two level quantum system (TLS) which is continuously and simultaneously irradiated by a high and low frequency excitation. The interaction of the TLS with a high frequency excitation is considered in the frame of the dressed state approach. A linear response of the coupled TLS and corresponding photon field system to a signal whose frequency is of the order of the Rabi frequency is found. The response exhibits undamped low frequency oscillations, whose amplitude has a clear resonance at the Rabi frequency with the width being dependent on the damping rates of the TLS. The method can be useful for low-frequency Rabi spectroscopy in various physical systems described by a two-level Hamiltonian, such as nuclei spins in NMR, double well quantum dots, superconducting flux and charge qubits, etc. The application of the method to a superconducting flux qubit and to the detection of NMR is considered in detail.
arXiv commentIn this version the Introduction, the NMR application part and some text are modified, several new references are added. Some unimportant calculations are removed. Several typos are corrected
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- Coexistence of multi-photon processes and longitudinal couplings in superconducting flux qubits
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- Low-frequency spectroscopy for quantum multi-level systems
- Magnetic resonance in slowly modulated longitudinal field: Modified shape of the Rabi oscillations
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