Multiphoton transitions in Josephson-junction qubits (Review Article)

Abstract

Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the qubit energy levels and their populations and to read out the resonator's state, as well as the unavoidable dissipative environment. Such rich system is interesting both for the study of fundamental quantum phenomena on the mesoscopic scale and as a promising system for future electronic devices. We present recent results for the driven superconducting qubit-resonator system, where the resonator can be realized as an LC circuit or a nanomechanical resonator. Most of the results can be described by the semiclassical theory, where a qubit is treated as a quantum two-level system coupled to the classical driving field and the classical resonator. Application of this theory allows to describe many phenomena for the single and two coupled superconducting qubits, among which are the following: the equilibrium-state and weak-driving spectroscopy, Sisyphus damping and amplification, Landau-Zener-Stückelberg interferometry, the multiphoton transitions of both direct and ladder- type character, and creation of the inverse population for lasing.

20 pages, 15 figures

References in corpus (36)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
• Single artificial-atom lasing
• Nonlinear response of the vacuum Rabi resonance
• Two-level systems driven by large-amplitude fields
• Spectroscopy on two coupled flux qubits
• Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits
• Coherence times of dressed states of a superconducting qubit under extreme driving
• Amplitude Spectroscopy of a Solid-State Artificial Atom
• Sisyphus cooling and amplification by a superconducting qubit
• Consistency of ground state and spectroscopic measurements on flux qubits
• Electromagnetically-induced transparency with amplification in superconducting circuits
• Multiphoton transitions in a macroscopic quantum two-state system
• Entanglement of superconducting qubits via microwave fields: classical and quantum regimes
• Low-frequency measurement of the tunneling amplitude in a flux qubit
• Direct Josephson coupling between superconducting flux qubits
• Parametric control of a superconducting flux qubit
• Rabi-type oscillations in a classical Josephson junction
• Reading-out the state inductively and microwave spectroscopy of an interferometer-type charge qubit
• Resonant excitations of single and two-qubit systems coupled to a tank circuit
• Strong tunable coupling between a superconducting charge and phase qubit
• Quantum behaviour of a flux qubit coupled to a resonator
• Multi-photon spectroscopy of a hybrid quantum system
• Readout methods and devices for Josephson-junction-based solid-state qubits
• Fabrication Technology of and Symmetry Breaking in Superconducting Quantum Circuits
• Spatial Landau-Zener-Stückelberg interference in spinor Bose-Einstein condensates
• Distinguishing quantum from classical oscillations in a driven phase qubit
• Low frequency Rabi spectroscopy for a dissipative two-level system
• Large Amplitude Harmonic Driving of Highly Coherent Flux Qubits
• Impedance measurement technique for quantum systems
• Stückelberg-Interferometry with ultra-cold atoms
• Multiphoton Transitions in a Spin System Driven by Strong Bichromatic Field
• Quantum theory of the low-frequency linear susceptibility of interferometer-type superconducting qubits
• Simulating Ramsey-Type Fringes in a Pulsed Microwave-Driven Classical Josephson Junction
• Model of multiphoton transitions in a current-biased Josephson junction