Plateau dynamics with quantized oscillations of a strongly driven qubit
arXiv:2010.11785 · doi:10.1103/PhysRevA.102.053703
Abstract
We present an interesting dynamical temporal localization of a strongly driven two-level system (TLS), a plateau with quantized oscillation, by an analytical and transparent method, the counter-rotating-hybridized rotating-wave (CHRW) method. This approach, which is based on unitary transformations with a single parameter, treats the rotating and counter-rotating terms on equal footing. In the unitarily transformed representation, we find that it is the multiple-harmonic terms shown in the transformed Hamiltonian that make a crucial contribution to the generation of the exotic plateau phenomenon. By comparing the results of the numerically exact calculation and several other methods, we show that the CHRW results obtained by analytical formalism involving the collective effects of multiple harmonics are in good agreement with the numerical results, which illustrates not only the general tendency of the dynamical evolution of strongly driven TLS, but also the interesting phenomena of plateaus. The developed CHRW method reveals two kinds of plateau patterns: zigzag plateau and armchair plateau. The plateau phenomenon has a periodical pattern whose frequency is double the driving frequency, and possesses quantized oscillations the number of which has a certain, precise value. Besides, fast oscillation is produced on every plateau which is determined by the relevant driving parameters of the TLS. Our main results are as follows: (i) in the large-amplitude oscillatory case, it turns out that the collective effects of all even harmonics contribute to the generation of zigzag plateau with quantized oscillation; (ii) in the small-amplitude oscillatory case, the dynamics of the coherent destruction of tunneling under strong driving is exactly exhibited by including the odd-harmonic effect, namely, armchair plateau possessing a two-stair structure rather than the complete destruction.
arXiv commentAccepted by Phys.Rev. A
References in corpus (33)
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Ultrastrong coupling between light and matter
- On the Integrability of the Rabi Model
- Two-level systems driven by large-amplitude fields
- Powerful harmonic charging in quantum batteries
- Detection of Quantum Noise from an Electrically-Driven Two-Level System
- Quantum Zeno and Anti-Zeno Effect without Rotating Wave Approximation
- The dissipative two-level system under strong ac-driving: a combination of Floquet and Van Vleck perturbation theory
- Charging and energy fluctuations of a driven quantum battery
- Flux qubit noise spectroscopy using Rabi oscillations under strong driving conditions
- Analytical solutions for the Rabi model
- Qubit-oscillator system: An analytical treatment of the ultra-strong coupling regime
- Bloch-Siegert shift of the Rabi model
- Effects of counterrotating interaction on driven tunneling dynamics: coherent destruction of tunneling and Bloch-Siegert shift
- Observation of the Bloch-Siegert shift in a driven quantum-to-classical transition
- Floquet theorem for open systems and its applications
- Dynamics of a two-level system under strong driving: quantum gate optimization based on floquet theory
- Breaking the rotating wave approximation for a strongly-driven, dressed, single electron spin
- Microwave degenerate parametric down-conversion with a single cyclic three-level system in circuit QED
- Time-domain grating with a periodically driven qutrit
- Coherent destruction of tunneling in a lattice array under selective in-phase modulations
- Large Amplitude Harmonic Driving of Highly Coherent Flux Qubits
- Landau-Majorana-Stuckelberg-Zener dynamics driven by coupling for two interacting qutrit systems
- Coherent Control for a Two-level System Coupled to Phonons
- Quantum simulation of general semi-classical Rabi model beyond strong driving regime
- Bias-modulated dynamics of a strongly driven two-level system
- Two-level System coupled to Phonons: Full Analytical Solution
- Maximum population transfer in a periodically driven two-level system
- Bloch-Siegert Shift in a Hybrid Quantum Register: Quantification and Compensation
- Resonance fluorescence of strongly driven two-level system coupled to multiple dissipative baths
- The effect of interactions and disorder on the relaxation of two-level systems in amorphous solids
- Control of light polarization by voltage tunable excitonic metasurfaces
- Coupled modes locally interacting with qubits: critical assessment of the rotating wave approximation