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Collapse of dark states in Tavis-Cummings model

Vitaliy AfanasyevChen RanYuri OzhigovYou Jiangchuan
Jul 2022
摘要
The singlet state of a system of two two-level atoms changes smoothly,remaining dark, as the Hamiltonian TC is slowly deformed, despite theinapplicability of the adiabatic theorem to this case. In this case, there is asmall probability of emission of free photons, which does not depend on thesmoothness of the deformation of the Hamiltonian. The effect of spontaneousemission is enhanced by the addition of one more pair of atoms in the singletstate due to the exchange of virtual photons in the cavity. A similar effectwas also established for the case when atoms can move between two cavities, buthere, on the contrary, with an increase in the number of atoms, the emissiondecreases. This purely quantum effect must be taken into account in practicalmanipulations with atomic singlets; however, its weakness testifies, rather, tothe stability of dark states and the prospects for their use in informationexchange (quantum cryptographic protocols) and as an energy accumulator fornono-devices.
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