Decoherence and Collisional Frequency Shifts of Trapped Bosons and Fermions

Abstract

We perform exact calculations of collisional frequency shifts for several fermions or bosons using a singlet and triplet basis for pairs of particles. The "factor of 2 controversy" for bosons becomes clear - the factor is always 2. Decoherence is described by singlet states and they are unaffected by spatially uniform clock fields. Spatial variations are critical, especially for fermions which were previously thought to be immune to collision shifts. The spatial variations lead to decoherence and a novel frequency shift that is not proportional to the partial density of internal states.

arXiv commentFinal version with corrected and clarified discussion of g2

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Cited by in corpus (37)

• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Colloquium: Physics of optical lattice clocks
• Experimenting an optical second with strontium lattice clocks
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Comparison of Two Independent Sr Optical Clocks with 1e-17 Stability at 10^3 s
• A quantum many-body spin system in an optical lattice clock
• Spin self-rephasing and very long coherence times in a trapped atomic ensemble
• Suppression of collisional shifts in a strongly interacting lattice clock
• Rabi Spectroscopy and Excitation Inhomogeneity in a 1D Optical Lattice Clock
• Lattice Induced Frequency Shifts in Sr Optical Lattice Clocks at the $10^{-17}$ Level
• The 87-Sr optical frequency standard at PTB
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Noise and instability of an optical lattice clock
• p-Wave cold collisions in an optical lattice clock
• Scattering of Cold Atom Coherences by Hot Atoms: Frequency Shifts from Background Gas Collisions
• Probing many-body interactions in an optical lattice clock
• Extended coherence time on the clock transition of optically trapped Rubidium
• Cold collision shift cancelation and inelastic scattering in a Yb optical lattice clock
• Many-body treatment of the collisional frequency shift in fermionic atoms
• Clock shifts of optical transitions in ultracold atomic gases
• Dynamics of interacting fermions in spin-dependent potentials
• Spin waves and Collisional Frequency Shifts of a Trapped-Atom Clock
• Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms
• Resolved atomic interaction sidebands in an optical clock transition
• S-Wave Collisional Frequency Shift of a Fermion Clock
• Quantum engineering of atomic phase-shifts in optical clocks
• Cancellation of Collisional Frequency Shifts in Optical Lattice Clocks with Rabi Spectroscopy
• Application of lasers to ultracold atoms and molecules
• Simulating fermions in spin-dependent potentials with spin models on an energy lattice
• Collisionally Induced Atomic Clock Shifts and Correlations
• Beyond the Spin Model Approximation for Ramsey Spectroscopy
• Rabi spectroscopy of three-dimensional optical lattice clocks
• Magic density in a self-rephasing ensemble of trapped ultracold atoms
• Lattice-induced non-adiabatic frequency shifts in optical lattice clocks
• Clock frequency estimation under spontaneous emission
• Effect of trap symmetry and atom-atom interactions on a trapped atom interferometer with internal state labelling
• Interaction-enhanced double resonance in cold gases