2011/03/31 by Daniel Braak · 2 citations
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.107.100401
published as Phys. Rev. Lett. 107, 100401 (2011) · 7 pages, 4 figures, figure captions corrected
arxiv created 2011/12/20 · arxiv updated 2011/12/21
The exact spectrum of the Rabi hamiltonian is analytically found for arbitrary coupling strength and detuning. I present a criterion for integrability of quantum systems containing discrete degrees of freedom which shows that in this case a finite symmetry group may entail integrability, even without the presence of conserved charges beyond the hamiltonian itself. Moreover, I introduce and solve a natural generalization of the Rabi model which has no symmetries and is therefore probably the smallest non-integrable physical system.