Interferometric Control of Photo-Chemical Reactions in 87Rb Bose-Einstein Condensates

Abstract

We report on an interferometric control of photo-chemical reactions in 87Rb condensates, where the scattering channels behaves as if the arms of an interferometer. We control the relative phase between the scattering channels by exploiting the quadratic Zeeman shift at low magnetic field strengths.

Constructive Quantum Interference in Photochemical Reactions

“…After this point, if we increase θ y , the m f = 0 population increases again and shows symmetric behavior (θ y = π represents the south pole on a Bloch sphere, as shown in Figure a, and after this instant, further rotation will take the state vector toward the north pole making population symmetric about π). The population distribution, as shown in Figure b, goes well with the experimentally observed results in Figure D of ref for the time scale of 40 μs.…”

“…Thus, it is sufficient to use RF to couple different m f spin states which we model below. The three-level hyperfine spin states can be schematically represented by a pair of Bloch spheres, where one pole corresponds to m f = 0 and another pole corresponds to m f = ±1. Initially created BEC of 87 Rb in f = 1 and m f = 0 bare spin state is now coupled to the m f = ±1 states with a RF field.…”

“…In summary, there are multiple approaches to achieve constructive interference within PA reaction. For example, the recent study by Kondakci et al showed the interferometric control over the | F = 0, m f = 0⟩ reaction channel by exploiting the quadratic Zeeman shift which introduces an additional relative phase between m f = 0 and m f = ±1 hyperfine spins in the superposition state eq . We have shown that by changing the scattering channel from | F = 0, m f = 0⟩ to | F = 2, m f = 0⟩, we can achieve a constructive interference.…”