Collective P-Wave Orbital Dynamics of Ultracold Fermions
- URL: http://arxiv.org/abs/2104.06480v3
- Date: Thu, 2 Sep 2021 16:06:36 GMT
- Title: Collective P-Wave Orbital Dynamics of Ultracold Fermions
- Authors: Mikhail Mamaev, Peiru He, Thomas Bilitewski, Vijin Venu, Joseph H.
Thywissen, Ana Maria Rey
- Abstract summary: We consider the non-equilibrium 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 pseudo-spin.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider the non-equilibrium 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 pseudo-spin. 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 pseudo-spin 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.
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