Unified analytical treatments to qubit-oscillator systems

Abstract

An effective scheme within two displaced bosonic operators with equal positive and negative displacements is extended to study qubit-oscillator systems analytically in an unified way. Many previous analytical treatments, such as generalized rotating-wave approximation (GRWA) [Phys. Rev. Lett. 99, 173601 (2007)] and an expansion in the qubit tunneling matrix element in the deep strong coupling regime [Phys. Rev. Lett. 105, 263603 (2010)] can be recovered straightforwardly in the present scheme. Moreover, further improving GRWA and extension to the finite-bias case are implemented easily. The analytical expressions are then derived explicitly and uniquely, which work well in a wide range of the coupling strengthes, detunings, and static bias including the recent experimentally accessible parameters.

10 pages, 2 figures

References in corpus (12)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Atomic physics and quantum optics using superconducting circuits
• Superconducting Circuits and Quantum Information
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• 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
• Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
• Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
• Accurate numerical solution to the finite-size Dicke model
• Qubit-oscillator system: An analytical treatment of the ultra-strong coupling regime
• Quantum Rabi model for N-state atoms