Clock Shifts of Optical Transitions in Ultracold Atomic Gases

Journal Article · Thu Jan 07 23:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.104.010801· OSTI ID:21386880

Zhenhua, Yu ^[1]; Pethick, C J ^[1]

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1. Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen O (Denmark)

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 et al.[Science 324, 360 (2009)]. Using a pseudospin formalism to describe the density matrix of atoms, we derive a Bloch equation which incorporates both spatial inhomogeneity of the probe laser field and interatomic interactions. Expressions are given for the frequency shift as a function of 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.

• OSTI ID: 21386880
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 104; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
ATOMS
BLOCH EQUATIONS
CALCULATION METHODS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DENSITY MATRIX
ELECTRIC FIELDS
ELECTROMAGNETIC RADIATION
EQUATIONS
FERMI GAS
INTERACTIONS
LASER RADIATION
MATRICES
PULSES
RADIATIONS
SEMICLASSICAL APPROXIMATION
SPACE DEPENDENCE
TEMPERATURE DEPENDENCE
TEMPERATURE RANGE
TEMPERATURE RANGE 0065-0273 K
TRAPPING