Spectroscopy of dipolar fermions in 2D pancakes and 3D 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 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 different 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 are necessary to reach future precision goals. Finally, we consider the spectra in a deep 3D lattice and show how they give a great deal of information about static correlation functions, including \textit{all} the moments of the density correlations between nearby sites. The range of correlations measurable depends on spectroscopic resolution and the dipole moment.

14 pages, 6 figures

References in corpus (20)

• A High Phase-Space-Density Gas of Polar Molecules
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Controlling the quantum stereodynamics of ultracold bimolecular reactions
• Observation of pseudogap behavior in a strongly interacting Fermi gas
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
• Preparing and probing atomic number states with an atom interferometer
• Quantum fluids of self-assembled chains of polar molecules
• Quantum phases of a Two-Dimensional Dipolar Fermi Gas
• Determination of the Fermion Pair Size in a Resonantly Interacting Superfluid
• Evolution of the Normal State of a Strongly Interacting Fermi Gas from a Pseudogap Phase to a Molecular Bose Gas
• Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
• Bilayer superfluidity of fermionic polar molecules: many body effects
• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
• Electric field-dependent dynamic polarizability and "magic" conditions for optical trapping of polar molecules
• Strongly Correlated States of Ultracold Rotating Dipolar Fermi Gases
• Meta-nematic, smectic and crystalline phases of dipolar fermions in an optical lattice
• Quantum Hall effects in fast rotating Fermi gases with anisotropic dipolar interaction
• Generic features of the spectrum of trapped polarized fermions

Cited by in corpus (12)

• Manipulation of Molecules with Electromagnetic Fields
• Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
• A quantum many-body spin system in an optical lattice clock
• Second-Scale Nuclear Spin Coherence Time of Trapped Ultracold ${}^{23}$Na${}^{40}$K Molecules
• Far from equilibrium quantum magnetism with ultracold polar molecules
• Anisotropic Polarizability of Ultracold Polar ${}^{40}$K${}^{87}$Rb Molecules
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Controlling the Rotational and Hyperfine State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules
• Probing many-body interactions in an optical lattice clock
• Kitaev honeycomb and other exotic spin models with polar molecules
• Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
• Dressed-State Spectroscopy and Magic Trapping of Microwave-Shielded NaCs Molecules