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Published September 6, 2011 | Submitted + Published
Journal Article Open

Spectroscopy of dipolar fermions in layered two-dimensional and three-dimensional lattices

Abstract

Motivated by ongoing measurements at JILA, we calculate the recoil-free spectra of dipolar interacting fermions, for example ultracold heteronuclear molecules, in a one-dimensional lattice of two-dimensional layers or "pancakes," spectroscopically probing transitions between different internal (e.g., rotational) states. We additionally incorporate p-wave interactions and losses, which are important for reactive molecules such as KRb. Moreover, we consider other sources of spectral broadening: interaction-induced quasiparticle lifetimes and the different polarizabilities of the rotational states used for the spectroscopy. Although our main focus is molecules, some of the calculations are also useful for optical lattice atomic clocks. For example, understanding the p-wave shifts between identical fermions and small dipolar interactions coming from the excited clock state is necessary to reach future precision goals. Finally, we consider the spectra in a deep three-dimensional lattice and show how they give a great deal of information about static correlation functions, including all the moments of the density correlations between nearby sites. The range of correlations measurable depends on spectroscopic resolution and the dipole moment.

Additional Information

© 2011 American Physical Society. Received 9 June 2011; published 6 September 2011. We thank Jun Ye, Debbie Jin, Salvatore Manmana, Michael Foss-Feig, Erich Mueller, John Bohn, Goulven Quéméner, and the molecule experiment group at JILA for numerous discussions. K.R.A.H. and A.M.R. were supported by grants from the NSF (PFC and PIF-0904017), the AFOSR, and a grant from the ARO with funding from the DARPA-OLE. A.V.G. was supported by the Lee A. DuBridge Fellowship and a grant from the NSF (PHY-0803371).

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Published - Hazzard2011p15876Phys_Rev_A.pdf

Submitted - 1106.1718.pdf

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