On the Integrability of the Rabi Model

Details On the Integrability of the Rabi Model On the Integrability of the Rabi Model

2011-03-12

arxiv.org/abs/1103.2461v2

Phys. Rev. Lett. 107, 100401 (2011)

Physics

Quantum Physics

7 pages, 4 figures, figure captions corrected

Scientific paper

10.1103/PhysRevLett.107.100401

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.

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