Cold Collision Frequency Shift of an Optical Spectrum of a Trapped Gas

Abstract

We develop an exact sum rule that relates the spectral shift of a trapped gas undergoing cold collisions to measurable quantities of the system. The method demonstrates the dependence of the cold collision frequency shift on the quantum degeneracy of the gas and facilitates extracting scattering lengths from the data. We apply the method to analyzing spectral data for magnetically trapped hydrogen atoms and determine the value of the $1S-2S$ scattering length.

5 pages, no figures

References in corpus (5)

• Bose-Einstein Condensation of Atomic Hydrogen
• Spatial coherence and density correlations of trapped Bose gases
• Cold Collision Frequency Shift of the 1S-2S Transition in Hydrogen
• Optical excitations in a non-ideal Bose gas
• 1S-2S Spectrum of a Hydrogen Bose-Einstein Condensate

Cited by in corpus (20)

• Effect of cold collisions on spin coherence and resonance shifts in a magnetically trapped ultra-cold gas
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• Spectroscopic insensitivity to cold collisions in a two-state mixture of fermions
• Coherence and clock shifts in ultracold Fermi gases with resonant interactions
• Decoherence and Collisional Frequency Shifts of Trapped Bosons and Fermions
• Internal waves and synchronized precession in a cold vapor
• Many-body treatment of the collisional frequency shift in fermionic atoms
• Doppler Spectroscopy of an Ytterbium Bose-Einstein Condensate on the Clock Transition
• Hyperfine spectra of trapped Bosons in optical lattices
• Demagnetization dynamics of non-interacting trapped fermions
• Spectroscopy of dipolar fermions in 2D pancakes and 3D lattices
• Analysis of a Magnetically Trapped Atom Clock
• Many-body physics in the radio frequency spectrum of lattice bosons
• Non-linear Relaxation of Interacting Bosons Coherently Driven on a Narrow Optical Transition
• Explanation of 100-fold reduction of spectral shifts for hydrogen on helium films
• Manifestation of a gap due to the exchange energy in a spinor condensate
• Candidate theories to explain the anomalous spectroscopic signatures of atomic H in molecular H${}_2$ crystals
• Probing the thermal atoms of a Bose gas through Raman transition
• Theoretical Analysis on Spectroscopy of Atomic Bose-Hubbard Systems
• Quantitative Probe of Pairing Correlations in a Cold Fermionic Atom Gas