Possibility of Stark-insensitive cotrapping of two atomic species in optical lattices

Abstract

Much effort has been devoted to removing differential Stark shifts for atoms trapped in specially tailored "magic" optical lattices, but thus far work has focused on a single trapped atomic species. In this work, we extend these ideas to include two atomic species sharing the same optical lattice. We show qualitatively that, in particular, scalar J = 0 divalent atoms paired with non-scalar state atoms have the necessary characteristics to achieve such Stark shift cancellation. We then present numerical results on "magic" trapping conditions for 27 Al paired with 87 Sr, as well as several other divalent atoms.

Resolving all-order method convergence problems for atomic physics applications

“…This work provided the most accurate low-energy test of the electroweak sector of the Standard Model to date, placed constraints on a variety of new physics scenarios beyond the SM, and, when combined with the results of high-energy collider experiments, confirmed the energy dependence (or "running") of the electroweak force over an energy range spanning four orders of magnitude (from ∼10 MeV to ∼100 GeV). All-order method was also used for development of ultraprecise atomic clocks [17][18][19][20][21], ultracold atom and quantum information studies [22][23][24][25][26] and many other applications. We refer the reader to review [12] for details of the all-order method and its applications.…”

Possibility of magic trapping of a three-level system for Rydberg blockade implementation

“…This treatment is similar to that in Refs. [9,15] and references therein. The ac Stark shift of an atomic state |nF,M F with total angular momentum F = J + I and projection M F can be written as 1…”

“…This problem is more akin to the situation in Ref. [9], which considered two-level systems in two species sharing the same trap.…”

“…Just as for neutral atom implementation of qubits, clocks depend on the transition frequency between two particular atomic energy levels. With a particular choice of trapping laser wavelength (and, in some cases, magnetic fields and polarization; see [5,9]), both levels experience the same shift regardless of laser intensity, so the perturbation from the trap effectively vanishes. Figure 1 depicts the level structure.…”

“…The hyperfine structure of Al is also favorable for magic trapping, discussed in Refs. [9,11], and the formalism from Ref. [10] for alkalis is also applicable to Al.…”