Finite sizes and smooth cutoffs in superconducting circuits

Abstract

We investigate the validity of two common assumptions in the modelling of superconducting circuits: first, that the superconducting qubits are pointlike, and second, that the UV behaviour of the transmission line is not relevant to the qubit dynamics. We show that in the experimentally accessible ultra-strong coupling regime and for short (but attainable) times, the use of an inaccurate cutoff model (such as sharp, or none at all) could introduce very significant inaccuracies in the model's predictions.

arXiv comment10 pages, 5 figures. RevTeX 4.1

References in corpus (28)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Coherent dynamics of a flux qubit coupled to a harmonic oscillator
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
• Generating Single Microwave Photons in a Circuit
• Decoherence of flux qubits due to 1/f flux noise
• Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
• Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
• The giant acoustic atom -- a single quantum system with a deterministic time delay
• Switchable ultrastrong coupling in circuit QED
• Transition rate of the Unruh-DeWitt detector in curved spacetime
• Flux Qubits with Long Coherence Times for Hybrid Quantum Circuits
• Nonequilibrium and nonperturbative dynamics of ultrastrong coupling in open lines
• Observation of Floquet states in a strongly driven artificial atom
• Then again, how often does the Unruh-DeWitt detector click if we switch it carefully?
• Tuneable on-demand single-photon source
• Causality issues of particle detector models in QFT and Quantum Optics
• Cutoff-free Circuit Quantum Electrodynamics
• Flux qubits in a planar circuit quantum electrodynamics architecture: quantum control and decoherence
• Zeno physics in ultrastrong circuit QED
• Origin and Implications of $A^2$-like Contribution in the Quantization of Circuit-QED Systems
• Detecting ground state qubit self-excitations in circuit QED: slow quantum anti-Zeno effect

Cited by in corpus (14)

• Relativistic causality in particle detector models: Faster-than-light signalling and "Impossible measurements"
• Bandlimited Entanglement Harvesting
• Transmitting qubits through relativistic fields
• Particle Detectors from Localized Quantum Field Theories
• Causality and signalling in non-compact detector-field interactions
• Decoding Quantum Field Theory with Machine Learning
• Derivative coupling in horizon brightened acceleration radiation: a quantum optics approach
• A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect
• Derivative coupling enables genuine entanglement harvesting in causal communication
• Dimensional reduction of cavities with axial symmetry: A complete analysis of when an optical fiber is approximately one-dimensional
• Locally detecting UV cutoffs on a sphere with particle detectors
• High-frequency suppression of inductive coupling between flux qubit and transmission line resonator
• Dimensional Reduction in Quantum Optics
• Entanglement harvesting: detector gap and field mass optimization