Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness

LUDMILA VIOTTI,; FERNANDO C LOMBARDO; PAULA I. VILLAR

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

AMER PHYSICAL SOC

Lugar: New York; Año: 2022 vol. 105 p. 222181 - 222189

1050-2947

We follow a generalized kinematic approach to compute the geometric phases acquired in both unitaryand dissipative Jaynes-Cummings models, which provide a fully quantum description for a two-level systeminteracting with a single mode of the (cavity) electromagnetic field, in a perfect or dissipative cavity, respectively.In the dissipative model, the nonunitary effects arise from the outflow of photons through the cavity wallsand the incoherent pumping of the two-level system. Our approach allows to compare the geometric phasesacquired in these models, leading to an exhaustive characterization of the corrections introduced by the presenceof the environment. We also provide geometric interpretations for the observed behaviors. When the resonancecondition is satisfied, we show the geometric phase is robust, exhibiting a vanishing correction under a nonunitaryevolution. This fact is supported with a geometrical explanation as well.