@article{12402, author = {Mikhail Mamaev and Peiru He and Thomas Bilitewski and Vijin Venu and Joseph Thywissen and Ana Maria Rey}, title = {Collective p-wave orbital dynamics of ultracold fermions}, abstract = {We consider the nonequilibrium orbital dynamics of spin-polarized ultracold fermions in the first excited band of an optical lattice. A specific lattice depth and filling configuration is designed to allow the p_x and p-y excited orbital degrees of freedom to act as a pseudospin. Starting from the full Hamiltonian for p-wave interactions in a periodic potential, we derive an extended Hubbard-type model that describes the anisotropic lattice dynamics of the excited orbitals at low energy. We then show how dispersion engineering can provide a viable route to realizing collective behavior driven by p-wave interactions. In particular, Bragg dressing and lattice depth can reduce single-particle dispersion rates, such that a collective many-body gap is opened with only moderate Feshbach enhancement of p-wave interactions. Physical insight into the emergent gap-protected collective dynamics is gained by projecting the Hamiltonian into the Dicke manifold, yielding a one-axis twisting model for the orbital pseudospin that can be probed using conventional Ramsey-style interferometry. Experimentally realistic protocols to prepare and measure the many-body dynamics are discussed, including the effects of band relaxation, particle loss, spin-orbit coupling, and doping.}, year = {2021}, journal = {Phys. Rev. Lett}, volume = {127}, pages = {143401}, month = {2021-09}, url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.143401}, doi = {10.1103/PhysRevLett.127.143401}, }