Clock shifts of optical transitions in ultracold atomic gases

Abstract

We calculate the shift, due to interatomic interactions, of an optical transition in an atomic Fermi gas trapped in an optical lattice, as in recent experiments of Campbell {\it et al.}, Science {\bf 324}, 360 (2009). Using a pseudospin formalism to describe the density matrix of the internal two states of the optical transition, we derive a Bloch equation which incorporates both the spatial inhomogeneity of the probe laser field and the interatomic interactions. Expressions are given for the frequency shift as a function of the pulse duration, detuning of the probe laser, and the spatial dependence of the electric field of the probe beam. In the low temperature semiclassical regime, we find that the magnitude of the shift is proportional to the temperature.

4 pages, 1 figure, NORDITA-2009-58

References in corpus (7)

• Rabi Spectroscopy and Excitation Inhomogeneity in a 1D Optical Lattice Clock
• Probing Interactions between Ultracold Fermions
• Observation of Anomalous Spin Segregation in a Trapped Fermi Gas
• Coherence and clock shifts in ultracold Fermi gases with resonant interactions
• Decoherence and Collisional Frequency Shifts of Trapped Bosons and Fermions
• Spin-correlation functions in ultracold paired atomic-fermion systems: sum rules, self-consistent approximations, and mean fields
• Many-body treatment of the collisional frequency shift in fermionic atoms

Cited by in corpus (19)

• 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
• Suppression of collisional shifts in a strongly interacting lattice clock
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• p-Wave cold collisions in an optical lattice clock
• Probing many-body interactions in an optical lattice clock
• 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
• S-Wave Collisional Frequency Shift of a Fermion Clock
• Cancellation of Collisional Frequency Shifts in Optical Lattice Clocks with Rabi Spectroscopy
• Spectroscopy of dipolar fermions in 2D pancakes and 3D lattices
• Multidimensional Spectroscopy of Time-Dependent Impurities in Ultracold Fermions
• 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
• Open Quantum Systems at Low Temperature