Scattering of coherent states on a single artificial atom

Abstract

In this work we theoretically analyze a circuit QED design where propagating quantum microwaves interact with a single artificial atom, a single Cooper pair box. In particular, we derive a master equation in the so-called transmon regime, including coherent drives. Inspired by recent experiments, we then apply the master equation to describe the dynamics in both a two-level and a three-level approximation of the atom. In the two-level case, we also discuss how to measure photon antibunching in the reflected field and how it is affected by finite temperature and finite detection bandwidth.

18 pages, 7 figures

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Cited by in corpus (49)

• Microwave photonics with superconducting quantum circuits
• Propagating phonons coupled to an artificial atom
• Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
• Strongly interacting photons in one-dimensional continuum
• Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms
• Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
• Giant Cross Kerr Effect for Propagating Microwaves Induced by an Artificial Atom
• Oscillating bound states for a giant atom
• Progress in Superconducting Metamaterials
• Probing the quantum vacuum with an artificial atom in front of a mirror
• Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
• Theoretical methods for ultrastrong light-matter interactions
• Strongly coupled quantum heat machines
• Quantum control and long-range quantum correlations in dynamical Casimir arrays
• Large collective Lamb shift of two distant superconducting artificial atoms
• Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
• Quantum Networks in Divergence-free Circuit QED
• Limitations in quantum computing from resource constraints
• Dynamical polaron ansatz: a theoretical tool for the ultra-strong coupling regime of circuit QED
• Multiphoton Jaynes-Cummings Model: Arbitrary Rotations in Fock Space and Quantum Filters
• A recipe for Hamiltonian of system-environment coupling applicable to ultrastrong light-matter interaction regime
• Light-matter decoupling and $A^2$ term detection in superconducting circuits
• Cavity-free vacuum-Rabi splitting in circuit quantum acoustodynamics
• Chiral quantum optics in photonic sawtooth lattices
• Single photons by quenching the vacuum
• Catch and release of propagating bosonic field with non-Markovian giant atom
• Nonreciprocal Atomic Scattering: A saturable, quantum Yagi-Uda antenna
• Nonlinear quantum optics in the (ultra)strong light-matter coupling
• Non-Hermitian Waveguide Cavity QED with Tunable Atomic Mirrors
• Statistics of scattered photons from a driven three-level emitter in a one-dimensional open space
• Scattering of coherent pulses on a two-level system - single-photon generation
• Quantum Interference and Complex Photon Statistics in Waveguide QED
• Critical features of nonlinear optical isolators for improved nonreciprocity
• Geometrical description and Faddeev-Jackiw quantization of electrical networks
• Steady-state generation of Wigner negative states in 1D resonance fluorescence
• Tunable Coupler for Mediating Interactions between a Two-Level System and a Waveguide from a Decoupled State to the Ultra-Strong Coupling Regime
• Closing a quantum feedback loop inside a cryostat: Autonomous state preparation and long-time memory of a superconducting qubit
• Canonical quantisation of telegrapher's equations coupled by ideal nonreciprocal elements
• Transmission spectra of an ultrastrongly coupled qubit-dissipative resonator system
• Operating a passive on-chip superconducting circulator: device control and quasiparticle effects
• Dissipation in a superconducting artificial atom due to a single non-equilibrium quasiparticle
• Correlated Dephasing Noise in Single-photon Scattering
• Single photons versus coherent state input in waveguide quantum electrodynamics: light scattering, Kerr and cross-Kerr effect
• Transmon in a semi-infinite high-impedance transmission line -- appearance of cavity modes and Rabi oscillations
• Giant atom with disorders: Effects from imperfect couplings
• Electromagnetic waves propagation through an array of superconducting qubits: manifestations of non-equilibrium steady states of qubits
• Group delay controlled by the decoherence of a single artificial atom
• Evolution of coherent waves driving a single artificial atom
• Superbunching from coherently driven atoms in a waveguide