Magnus expansion for a chirped quantum two-level system
arXiv:1806.02738 · doi:10.1103/PhysRevA.98.023855
Abstract
We derive a Magnus expansion for a frequency chirped quantum two-level system. We obtain a time-independent effective Hamiltonian which generates a stroboscopic time evolution. At lowest order the according dynamics is identical to results from using a rotating wave approximation. We determine, furthermore, also the next higher order corrections within our expansion scheme in correspondence to the Bloch-Siegert shifts for harmonically driven systems. Importantly, our scheme can be extended to more complicated systems, i.e. even many-body systems.
arXiv comment4 pages, 1 figure
References in corpus (10)
- Nonequilibrium dynamics of closed interacting quantum systems
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Many-body energy localization transition in periodically driven systems
- Landau Zener transitions in a dissipative environment: Numerically exact results
- Quantum Control of Photodissociation via Manipulation of Bond Softening
- Quantum Fluctuations in the Chirped Pendulum
- Quantum and Classical Chirps in an Anharmonic Oscillator
- Competition between relaxation and external driving in the dissipative Landau-Zener problem
- Quantum versus classical phase-locking transition in a driven-chirped oscillator
- Landau-Zener-Stuckelberg-Majorana interference in a 3D transmon driven by a chirped microwave
Cited by in corpus (4)
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- Open Quantum Systems Driven by Chirped Pulses: Quantized versus Semiclassical Fields and the Validity of the Rotating-Wave Approximation
- Higher order Magnus expansions for driven two-level quantum dynamics
- Ancillary entangling Floquet kicks for accelerating quantum algorithms