Effective and efficient resonant transitions in periodically modulated quantum systems
arXiv:2108.04360 · doi:10.3390/quantum3010011
Abstract
We analyse periodically modulated quantum systems with and symmetries. Transforming the Hamiltonian into the Floquet representation we apply the Lie transformation method, which allows us to classify all effective resonant transitions emerging in time-dependent systems. In the case of a single periodically perturbed system, we propose an explicit iterative procedure for the determination of the effective interaction constants corresponding to every resonance both for weak and strong modulation. For coupled quantum systems we determine the efficient resonant transitions appearing as a result of time modulation and intrinsic non-linearities.
References in corpus (21)
- Circuit Quantum Electrodynamics
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Atomic physics and quantum optics using superconducting circuits
- A Single Photon Can Simultaneously Excite Two or More Atoms
- Introduction to Quantum-limited Parametric Amplification of Quantum Signals with Josephson Circuits
- Single-photon-driven high-order sideband transitions in an ultrastrongly coupled circuit quantum electrodynamics system
- Location of crossings in the Floquet spectrum of a driven two-level system
- Bloch-Siegert shift of the Rabi model
- Observation of the Bloch-Siegert shift in a driven quantum-to-classical transition
- Connecting nth order generalised quantum Rabi models: Emergence of nonlinear spin-boson coupling via spin rotations
- Generating nonclassical photon-states via longitudinal couplings between superconducting qubits and microwave fields
- Effective Hamiltonians in quantum optics: a systematic approach
- Dynamical Casimir Effect in two-atom cavity QED
- Inducing Non-Classical Lasing Via Periodic Drivings in Circuit Quantum Electrodynamics
- Coherently Controlled Nanoscale Molecular Deposition
- Manipulating counter-rotating interactions in the quantum Rabi model via qubit frequency modulation
- Polynomial algebras and exact solutions of general quantum non-linear optical models I: Two-mode boson systems
- Optimal amplification of the dynamical Casimir effect in a parametrically driven system
- Single-photon limit of dispersive readout of a qubit with a photodetector
- Dynamical Casimir effect via four- and five-photon transitions using a strongly detuned atom
- Classical-quantum correspondence in bosonic two-mode conversion systems: polynomial algebras and Kummer shapes