Dynamics of a qubit coupled to a broadened harmonic mode at finite detuning

Abstract

We study the dynamics of a symmetric two-level system strongly coupled to a broadened harmonic mode. Upon mapping the problem onto a spin-boson model with peaked spectral density, we show how analytic solutions can be obtained, at arbitrary detuning and finite temperatures, in the case of large Q-factors of the oscillator. In general {\em two} or more oscillation frequencies of the two-level particle are observed as a consequence of the entanglement with the oscillator. Our approximated analytical solution well agrees with numerical predictions obtained within the non-interacting blip approximation.

arXiv comment17 pages, 6 figures

References in corpus (17)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Quantum state engineering with Josephson-junction devices
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• Resolving photon number states in a superconducting circuit
• Coherent dynamics of a flux qubit coupled to a harmonic oscillator
• Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
• Using a qubit to measure photon number statistics of a driven, thermal oscillator
• Dynamics of the spin-boson model with a structured environment
• High fidelity measurement and quantum feedback control in circuit QED
• Entanglement spectroscopy of a driven solid-state qubit and its detector
• Controlling decoherence of a two-level-atom in a lossy cavity
• The spin-boson model with a structured environment: A comparison of approaches
• Decoherence and Relaxation of a Quantum Bit in the Presence of Rabi Oscillations
• Theoretical analysis of continuously driven dissipative solid-state qubits
• Exploiting environmental resonances to enhance qubit quality factors
• Spectroscopy of a driven solid-state qubit coupled to a structured environment

Cited by in corpus (21)

• Entanglement Dynamics of Two Qubits in a Common Bath
• The dissipative two-level system under strong ac-driving: a combination of Floquet and Van Vleck perturbation theory
• Qubit-oscillator system: An analytical treatment of the ultra-strong coupling regime
• Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation
• Landau-Zener tunnelling in dissipative circuit QED
• Single-photon scattering on a strongly dressed atom
• Phonon-mediated decoherence in triple quantum dot interferometers
• Phonon distributions of a single bath mode coupled to a quantum dot
• Non-Markovian dynamics of a biased qubit coupled to a structured bath
• Heat transport through a two-level system embedded between two harmonic resonators
• Effect of bath temperature on the quantum decoherence
• Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode
• Transmission spectra of the driven, dissipative Rabi model in the USC regime
• Transmission spectra of an ultrastrongly coupled qubit-dissipative resonator system
• Dynamics of a qubit coupled to a dissipative nonlinear quantum oscillator: an effective bath approach
• Dissipative dynamics of a qubit coupled to a nonlinear oscillator
• Entanglement and Disentanglement in Circuit QED Architectures
• Quantum dynamics of a qubit coupled with structured bath
• Non-Markovian qubit decoherence during dispersive readout
• Majorana path integral for nonequilibrium dynamics of two-level systems
• Open-loop quantum control of small-size networks for high-order cumulants and cross-correlations sensing