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Ramsey interferometry with a two-level generalized Tonks-Girardeau gas

Mousavi, S. V ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.76.033607
  3. Publisher: 2007
  4. Abstract:
  5. 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. © 2007 The American Physical Society
  6. Keywords:
  7. Atomic clocks ; Interferometry ; Molecular modeling ; Particle interactions ; Time domain analysis ; Contact potentials ; Ramsey fringes ; Ramsey interferometry ; Tonks-Girardeau gas ; Bosons
  8. Source: Physical Review A - Atomic, Molecular, and Optical Physics ; Volume 76, Issue 3 , 2007 ; 10502947 (ISSN)
  9. URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.76.033607