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Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFCS)

Optical lattice clocks with non-interacting bosons and fermions

Hidetoshi Katori, Masao Takamoto, Tomoya Akatsuka, Hidekazu Hachisu

Published May 1, 2008• 2 citations
Publisher

Abstract

We discuss configurations of optical lattice clocks from the viewpoint of lattice geometries and quantum statistics of interrogated atoms. This leads to two promising schemes; one-dimensional lattice loaded with spin-polarized fermions and three-dimensional lattice loaded with bosons. These two optical lattice clocks based on fermionic87Sr and bosonic88Sr were demonstrated by measuring the frequency stability as well as their isotope shift. In addition, we address our ongoing experimental challenges for optical lattice clocks.

DOI
10.1109/freq.2008.4622956

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We discuss configurations of optical lattice clocks from the viewpoint of lattice geometries and quantum statistics of interrogated atoms. This leads to two promising schemes; one-dimensional lattice loaded with spin-polarized fermions and three-dimensional lattice loaded with bosons. These two optical lattice clocks based on fermionic87Sr and bosonic88Sr were demonstrated by measuring the frequency stability as well as their isotope shift. In addition, we address our ongoing experimental challenges for optical lattice clocks.
We discuss two possible configurations for optical lattice clocks; a one-dimensional (1D) lattice loaded with spinpolarized fermions, and a three-dimensional (3D) lattice loaded with bosons. In the former scheme, collisional frequency shifts are suppressed by the quantum statistical property of identical fermions. This Pauli blocking of collisions is critically dependent on the degree of spin polarization of the fermionic atoms, which we carefully investigated in the Rabi excitation process of the clock transition. In the latter scheme, a single occupancy lattice suppresses bunching of bosons and collisional frequency shifts. We demonstrate a frequency comparison of these two optical lattice clocks based on fermionic 87Sr and bosonic 88Sr. Operating these clocks parallely has yielded a stability approaching 10−17. Such measurements are an important step to ascertain the lattice clocks' uncertainty at the 10−17 level and beyond.
We consider designs of optical lattice clocks in view of the quantum statistics, relevant atomic spins, and atom-lattice interactions. The first two issues lead to two optimal constructions for the clock: a one-dimensional (1D) optical lattice loaded with spin-polarized fermions and a 3D optical lattice loaded with bosons. By taking atomic multipolar interactions with the lattice fields into account, an "atomic motion insensitive" wavelength is proposed to provide a precise definition of the "magic wavelength." We then present a frequency comparison of these two optical lattice clocks: spin-polarized fermionic 87 Sr and bosonic 88 Sr prepared in 1D and 3D optical lattices, respectively. Synchronous interrogations of these two optical lattice clocks by the same probe laser allowed canceling out its frequency noise as a common mode noise to achieve a relative stability of 3 × 10 −17 for an averaging time of τ = 350 s. The scheme, therefore, provides us with a powerful means to investigate intrinsic uncertainty of the clocks regardless of the probe laser stability. We discuss prospects of the synchronous operation of the clocks on the measurement of the geoid height difference and on the search of constancy of fundamental constants.
We report on frequency comparison of two optical lattice clocks based on fermionic 87Sr trapped in 1D optical lattice and bosonic 88Sr in 3D one. We discuss that these two lattice clock configurations would optimize the lattice clocks' performance from the view point of the quantum statistical properties of interrogated atoms and optical lattice geometries. The frequency comparison of two optical clocks offers an important step to investigate the lattice clocks' uncertainty less than 10-15, where no working standard exists.
To date, optical clocks based on singly trapped ions and ultracold neutral atoms trapped in the Stark-shift-free optical lattices are regarded as promising candidates for future atomic clocks. Since 2006, “optical lattice clocks” have been evaluated close to the Cs clocks' uncertainty limit internationally. One of the essential experimental challenges in the development of “optical lattice clocks” is to find out the better lattice geometries as well as interrogated atom species (including their quantum statistics) that bring out the potential performance of the clock scheme, taking into account the collisional frequency shift, the Black body radiation (BBR) shift, the atomic multipolar and hyperpolarizability effects.