The Rabi model gives off a flavor of spontaneous SUSY breaking

Abstract

In this paper, we handle a two-level atom and a one-mode light primarily in SUSY state, and point out that an interaction between them brings them on a path to spontaneous SUSY breaking. That is, we prove that the Rabi model describing a qubit coupled with a one-mode light in a cavity takes the $$N=2$$ SUSY system to the spontaneous SUSY breaking as its coupling strength $$\mathrm {g}$$ grows larger from the case $$\mathrm {g}=0$$ to the case $$\mathrm {g}\approx \infty $$ . We show that the spontaneous SUSY breaking is caused by the spin-chirality of the qubit, while the Rabi model recovers the chiral symmetry in the process of the growth of the coupling strength.