Geometric phases in superconducting qubits beyond the two-level-approximation
arXiv:1204.1278 · doi:10.1103/PhysRevB.85.220502
Abstract
Geometric phases, which accompany the evolution of a quantum system and depend only on its trajectory in state space, are commonly studied in two-level systems. Here, however, we study the adiabatic geometric phase in a weakly anharmonic and strongly driven multi-level system, realised as a superconducting transmon-type circuit. We measure the contribution of the second excited state to the two-level geometric phase and find good agreement with theory treating higher energy levels perturbatively. By changing the evolution time, we confirm the independence of the geometric phase of time and explore the validity of the adiabatic approximation at the transition to the non-adiabatic regime.
5 pages, 3 figures
References in corpus (27)
- Charge insensitive qubit design derived from the Cooper pair box
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Geometric quantum computation with NMR
- Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
- Controlling the spontaneous emission of a superconducting transmon qubit
- The Single-Photon Router
- Observation of Berry's Phase in a Solid State Qubit
- Electromagnetically induced transparency on a single artificial atom
- Geometric phase in open systems
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Berry phase for a spin 1/2 in a classical fluctuating field
- Implementing optimal control pulse shaping for improved single-qubit gates
- Measurement of Autler-Townes and Mollow transitions in a strongly driven superconducting qubit
- Quantum inference of states and processes
- Control and Tomography of a Three Level Superconducting Artificial Atom
- Autler-Townes effect in a superconducting three-level system
- Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle
- Experimental determination of the Berry phase in a superconducting charge pump
- Geometric nature of the environment-induced Berry phase and geometric dephasing
- A generalized Pancharatnam geometric phase formula for three level systems
- Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
- Geometric phase with nonunitary evolution in presence of a quantum critical bath
- Geometric Phase and Non-Adiabatic Effects in an Electronic Harmonic Oscillator
- Observation of Geometric Phases for Three-Level Systems using NMR Interferometry
- Non-Adiabatic Fluctuation in Measured Geometric Phase
Cited by in corpus (19)
- Microwave photonics with superconducting quantum circuits
- Measuring a topological transition in an artificial spin 1/2 system
- Exploring the Effect of Noise on the Berry Phase
- Experimental Observation of Tensor Monopoles with a Superconducting Qudit
- Measuring the Berry Phase in a Superconducting Phase Qubit by a Shortcut to Adiabaticity
- Validity of rotating wave approximation in non-adiabatic holonomic quantum computation
- Necessary and sufficient condition for quantum adiabatic evolution by unitary control fields
- Measurement of geometric dephasing using a superconducting qubit
- Realization of Geometric Landau-Zener-Stückelberg Interferometry
- Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
- Gate control of Berry phase in III-V semiconductor quantum dots
- Experimental observation of topological transitions in interacting multi-spin systems
- Vortex-Meissner phase transition induced by two-tone-drive-engineered artificial gauge potential in the fermionic ladder constructed by superconducting qubit circuits
- Two-dimensional topological effect in a transmon qubit array with tunable couplings
- Simulating the Kibble-Zurek mechanism of the Ising model with a superconducting qubit system
- Full counting statistics applied to dissipative Cooper pair pumping
- Geometric Phase of a Transmon in a Dissipative Quantum Circuit
- Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States
- Entanglement dynamics via Geometric phases in Trapped-ions