Non-Markovian dynamics of a superconducting qubit in an open multimode resonator
arXiv:1609.00359 · doi:10.1103/PhysRevA.94.063848
Abstract
We study the dynamics of a transmon qubit that is capacitively coupled to an open multimode superconducting resonator. Our effective equations are derived by eliminating resonator degrees of freedom while encoding their effect in the Green's function of the electromagnetic background. We account for the dissipation of the resonator exactly by employing a spectral representation for the Green's function in terms of a set of non-Hermitian modes and show that it is possible to derive effective Heisenberg-Langevin equations without resorting to the rotating wave, two level or Markov approximations. A well-behaved time domain perturbation theory is derived to systematically account for the nonlinearity of the transmon. We apply this method to the problem of spontaneous emission, capturing accurately the non-Markovian features of the qubit dynamics, valid for any qubit-resonator coupling strength.
30 pages, 13 figures
References in corpus (26)
- Charge insensitive qubit design derived from the Cooper pair box
- Coupling Superconducting Qubits via a Cavity Bus
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Quantum information processing with circuit quantum electrodynamics
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- Photon-mediated interactions between distant artificial atoms
- Controlling the spontaneous emission of a superconducting transmon qubit
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
- Strong Interactions in Multimode Random Lasers
- Supporting Online Material for "Strong Interactions in Multimode Random Lasers"
- Black-box superconducting circuit quantization
- Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
- Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
- Nonlinear response of the vacuum Rabi resonance
- Observation of Dicke Superradiance for Two Artificial Atoms in a Cavity with High Decay Rate
- Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
- Self-consistent multi-mode lasing theory for complex or random lasing media
- Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
- Brillouin-Wigner perturbation theory in open electromagnetic systems
- Selective coupling of superconducting qubits via tunable stripline cavity
- Beyond Strong Coupling in a Massively Multimode Cavity
- Multi-mode mediated exchange coupling in cavity QED
- The Super-Strong Coupling Regime of Cavity Quantum Electrodynamics
- Blackbox Quantization of Superconducting Circuits using exact Impedance Synthesis
Cited by in corpus (18)
- Cutoff-free Circuit Quantum Electrodynamics
- Driven dissipative dynamics and topology of quantum impurity systems
- Observing quantum synchronization blockade in circuit quantum electrodynamics
- Lifetime renormalization of driven weakly anharmonic superconducting qubits: II. The readout problem
- Predicting non-Markovian superconducting qubit dynamics from tomographic reconstruction
- Lifetime renormalization of weakly anharmonic superconducting qubits: I. Role of number non-conserving terms
- Ab initio few-mode theory for quantum potential scattering problems
- Optimization of the resonator-induced phase gate for superconducting qubits
- DEC-QED: A flux-based 3D electrodynamic modeling approach to superconducting circuits and materials
- Preserving quantum correlations and coherence with non-Markovianity
- Radiative Properties of an Artificial Atom coupled to a Josephson Junction Array
- Laplace transform approach for the dynamics of N qubits coupled to a resonator
- Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics
- Long-time soliton dynamics via a coarse-grained space-time method
- Dark Modes in Non-Markovian Linear Quantum Systems
- Computational modeling of decay and hybridization in superconducting circuits
- Dynamics of a dispersively coupled transmon qubit in the presence of a noise source embedded in the control line
- Heisenberg-Langevin Formalism For Open Circuit-QED Systems