Dispersive Response of a Disordered Superconducting Quantum Metamaterial
arXiv:1504.01634 · doi:10.3390/photonics2020449
Abstract
We consider a disordered quantum metamaterial formed by an array of superconducting flux qubits coupled to microwave photons in a cavity. We map the system on the Tavis-Cummings model accounting for the disorder in frequencies of the qubits. The complex transmittance is calculated with the parameters taken from state-of-the-art experiments. We demonstrate that photon phase shift measurements allow to distinguish individual resonances in the metamaterial with up to 100 qubits, in spite of the decoherence spectral width being remarkably larger than the effective coupling constant. Our simulations are in agreement with the results of the recently reported experiment.
arXiv comment10 pages, 4 figures
References in corpus (17)
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Atomic physics and quantum optics using superconducting circuits
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- Observation of the Dynamical Casimir Effect in a Superconducting Circuit
- A Superconducting Persistent Current Qubit
- Resonance Fluorescence of a Single Artificial Atom
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits
- Dynamical Casimir effect in a Josephson metamaterial
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Dephasing of a superconducting qubit induced by photon noise
- Microwave Photon Detector in Circuit QED
- Quantum metamaterials: Electromagnetic waves in a Josephson qubit line
- Implementation of a Quantum Metamaterial
- Fundamental limitations in spin-ensemble quantum memories for cavity fields
- Collective quantum coherent oscillations in a globally coupled array of qubits
Cited by in corpus (19)
- Microwave photonics with superconducting quantum circuits
- Dynamical Lamb Effect in a Tunable Superconducting Qubit-Cavity System
- Large Random Arrowhead Matrices: Multifractality, Semi-Localization, and Protected Transport in Disordered Quantum Spins Coupled to a Cavity
- Josephson Metamaterial with a widely tunable positive/negative Kerr constant
- Dynamical Lamb effect versus dissipation in superconducting quantum circuits
- Strong radiative interactions and subradiance in disordered metamaterials
- Quantum dynamics of disordered arrays of interacting superconducting qubits: signatures of quantum collective states
- Parametrically driven hybrid qubits-photon systems: dissipation-induced quantum entanglement and photon production from vacuum
- Signatures of avoided energy-level crossings in entanglement indicators obtained from quantum tomograms
- Cavity-QED of a quantum metamaterial with tunable disorder
- Double resonance response of a superconducting quantum metamaterial: manifestation of non-classical states of photons
- Spectrum of the Dicke model in a superconducting qubit-oscillator system
- Synchronization of qubit ensemble under optimized -pulse driving
- Fluctuations and photon statistics in quantum metamaterial near the superradiant transition
- Cooperative field localization and excitation eigenmodes in disordered metamaterials
- Influence of Impurity on the Rate of Single Photon Superradiance in Disordered N Qubit Chain
- Role of qubit-cavity entanglement for switching dynamics of quantum interfaces in superconductor metamaterials
- Signatures of nonclassical effects in tomograms
- Quantum synchronization in disordered superconducting metamaterials