6533b870fe1ef96bd12cfd07
RESEARCH PRODUCT
An algebraic approach to the Tavis-Cummings problem
Jussi TimonenGeorge MiroshnichenkoAndrei RybinI. P. Vadeikosubject
PhysicsCondensed Matter::Quantum GasesQuantum PhysicsFOS: Physical sciencesAtomic and Molecular Physics and Opticssymbols.namesakeResonatorThird orderQuantum mechanicssymbolsSpontaneous emissionPhysics::Atomic PhysicsAlgebraic numberHamiltonian (quantum mechanics)Algebraic methodQuantum Physics (quant-ph)Eigenvalues and eigenvectorsRabi frequencydescription
An algebraic method is introduced for an analytical solution of the eigenvalue problem of the Tavis-Cummings (TC) Hamiltonian, based on polynomially deformed su(2), i.e. su_n(2), algebras. In this method the eigenvalue problem is solved in terms of a specific perturbation theory, developed here up to third order. Generalization to the N-atom case of the Rabi frequency and dressed states is also provided. A remarkable enhancement of spontaneous emission of N atoms in a resonator is found to result from collective effects.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-01-28 |