Two-resonator circuit QED: Dissipative Theory
arXiv:0911.2657 · doi:10.1103/PhysRevB.81.144510
Abstract
We present a theoretical treatment for the dissipative two-resonator circuit quantum electrodynamics setup referred to as quantum switch. There, switchable coupling between two superconducting resonators is mediated by a superconducting qubit operating in the dispersive regime, where the qubit transition frequency is far detuned from those of the resonators. We derive an effective Hamiltonian for the quantum switch beyond the rotating wave approximation and study the dissipative dynamics within a Bloch-Redfield quantum master equation approach. We derive analytically how the qubit affects the quantum switch even if the qubit has no dynamics, and we estimate the strength of this influence. The analytical results are corroborated by numerical calculations, where coherent oscillations between the resonators, the decay of coherent and Fock states, and the decay of resonator-resonator entanglement are studied. Finally, we suggest an experimental protocol for extracting the damping constants of qubit and resonators by measuring the quadratures of the resonator fields.
17 pages, 9 figures
References in corpus (28)
- Coupling Superconducting Qubits via a Cavity Bus
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- Superconducting Circuits and Quantum Information
- Resolving photon number states in a superconducting circuit
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Controlling the spontaneous emission of a superconducting transmon qubit
- Generating Single Microwave Photons in a Circuit
- Decoherence of flux qubits due to 1/f flux noise
- Observation of Berry's Phase in a Solid State Qubit
- Coplanar Waveguide Resonators for Circuit Quantum Electrodynamics
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Single artificial-atom lasing
- Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
- Nonlinear response of the vacuum Rabi resonance
- Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
- Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
- Dephasing of a superconducting flux qubit
- Two-resonator circuit QED: A superconducting quantum switch
- A semi-empirical model for two-level system noise in superconducting microresonators
- Two-dimensional cavity grid for scalable quantum computation with superconducting circuits
- Non-linear dispersive regime of cavity QED: The dressed dephasing model
- Landau-Zener tunnelling in dissipative circuit QED
- Quantum walks on circles in phase space via superconducting circuit quantum electrodynamics
- Limitation of entanglement due to spatial qubit separation
- Phase-Coherent Dynamics of a Superconducting Flux Qubit with Capacitive-Bias Readout
- Incomplete pure dephasing of N-qubit entangled W states
- Fabrication Technology of and Symmetry Breaking in Superconducting Quantum Circuits
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- Single-step transfer or exchange of multipartite quantum entanglement with minimum resources
- Scalable quantum computing model in the circuit-QED lattice with circulator function
- Three-qubit direct dispersive parity measurement with Tunable Coupling Qubits
- Collateral coupling between superconducting resonators: Fast and high fidelity generation of qudit-qudit entanglement
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- Perfect state transfer on hypercubes and its implementation using superconducting qubits
- Non-Markovian qubit decoherence during dispersive readout
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- Parity-assisted generation of nonclassical states of light in circuit quantum electrodynamics
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