2007/05/25 by S. V. Mousavi, Adolfo del Campo, A. del Campo +2 · 16 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic and Subatomic Physics Research #Bose gas #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Ideal gas #Interferometry #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #cond-mat.other #quant-ph
paper · pdf · doi:10.1103/physreva.76.033607
published in Physical Review A 76(3) (American Physical Society) · 8 pages, 5 figures
arxiv created 2007/05/25 · openalex publication_date 2007/09/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a solvable generalization of the Tonks-Girardeau model that describes a coherent one-dimensional (1D) gas of cold two-level bosons which interact with two external fields in a Ramsey interferometer. They also interact among themselves by idealized, infinitely strong contact potentials, with interchange of momentum and internal state. We study the corresponding Ramsey fringes and the quantum projection noise which, essentially unaffected by the interactions, remains that for ideal bosons. The dual system of this gas, an ideal gas of two-level fermions coupled by the interaction with the separated fields, produces the same fringes and noise fluctuations. The cases of time-separated and spatially separated fields are studied. For spatially separated fields the fringes may be broadened slightly by increasing the number of particles, but only for large particle numbers far from present experiments with Tonks-Girardeau gases. The uncertainty in the determination of the atomic transition frequency diminishes, essentially with the inverse root of the particle number. The difficulties to implement the model experimentally and possible shortcomings of strongly interacting 1D gases for frequency standards and atomic clocks are discussed.