The Rabi problem with elliptic polarization
arXiv:2006.16948 · doi:10.1515/zna-2020-0181
Abstract
We consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third order differential equations with polynomial coefficients and hence solved in terms of power series in close analogy to the confluent Heun equation occurring for linear polarization. Application of Floquet theory yields the physically interesting quasienergy as a function of the parameters of the problem and expressions for the Bloch-Siegert shift of resonance frequencies. Various limit cases cases have been thoroughly investigated.
arXiv commentIncludes a new section and minor corrections
References in corpus (37)
- Atomic physics and quantum optics using superconducting circuits
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Floquet Engineering of Quantum Materials
- Fluctuation theorems: Work is not an observable
- Floquet engineering with quasienergy bands of periodically driven optical lattices
- Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
- Analytically solvable driven time-dependent two-level quantum systems
- Information gain and loss for a quantum Maxwell's demon
- Statistical mechanics of Floquet systems: the pervasive problem of near degeneracies
- Occupation of topological Floquet bands in open systems
- Location of crossings in the Floquet spectrum of a driven two-level system
- Strong Coupling Theory of Two Level Atoms in Periodic Fields
- Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
- Bloch-Siegert shift of the Rabi model
- Stochastic thermodynamics of rapidly driven systems
- Strong driving of a single spin using arbitrarily polarized fields
- Statistical mechanics of Floquet systems with regular and chaotic states
- Energy flow in periodic thermodynamics
- Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions
- Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
- Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
- Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
- Transport in Floquet-Bloch bands
- Exact solution for quantum dynamics of a periodically-driven two-level-system
- Noise Spectra of ac-driven quantum dots
- Coherent Excitation of a Two-Level Atom driven by a far off-resonant Classical Field: Analytical Solutions
- The Floquet Engineer's Handbook
- Analytical solutions for a two-level system driven by a class of chirped pulses
- Two-level quantum dynamics, integrability and unitary NOT gates
- Third order correction to localization in a two-level driven system
- The Floquet theory of the two level system revisited
- Floquet topological phases coupled to environments and the induced photocurrent
- Periodic thermodynamics of the Rabi model with circular polarization for arbitrary spin quantum numbers
- Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
- Rabi oscillations of Morris-Shore transformed -state systems by elliptically polarized ultrafast laser pulses
- Periodic thermodynamics of a two spin Rabi model
- Environment-controlled Floquet-state paramagnetism