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Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)

Frequency Comparison between Optical Lattice Clocks

Hidetoshi Katori, Masao Takamoto, Tomoya Akatsuka, Ryoichi Higashi

Published Aug 1, 2007• 0 citations
Publisher

Abstract

Two "optical lattice clocks", which based on spin-polarized fermionic87Sr trapped in a one-dimensional optical lattice and on bosonic88Sr in a three-dimensional lattice, were operated simultaneously. From a beat note between the two optical clocks, stability as well as accuracy of "optical lattice clocks" was evaluated.

DOI
10.1109/cleopr.2007.4391550

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Two "optical lattice clocks", which based on spin-polarized fermionic87Sr trapped in a one-dimensional optical lattice and on bosonic88Sr in a three-dimensional lattice, were operated simultaneously. From a beat note between the two optical clocks, stability as well as accuracy of "optical lattice clocks" was evaluated.
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 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 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 demonstrate the frequency comparison of two optical lattice clocks at the relative stabilities close to the quantum projection noise (QPN) limit of optical lattice clocks. This stable frequency comparison is accomplished by synchronous interrogations of two clocks by a common probe laser, which allows us to cancel out the probe laser's frequency noise. We perform the frequency comparison of a one-dimensional (1D) optical lattice clock with spin-polarized fermions 87Sr and a three-dimensional (3D) optical lattice clock with unity-occupation bosons 88Sr and achieve the Allan standard deviation of σγ(τ)=4×10-16 τ-1/2, which corresponds to the QPN limited stability for N=1,000 atoms and the spectrum linewidth γ=8 Hz. The relative stability reaches 1×10-17 with an averaging time of 1,600 s. Finally, we discuss the prospects to realize 10-18 fractional inaccuracies and the possible application of frequency comparison with synchronous interrogations to remote clocks' comparison for relativistic geodesy.
Techniques of modern quantum optics allows for the preparation of atoms in well controlled quantum states ideal for precision measurements and tests of fundamental laws of physics. We report on our recent progress with a highly stable and accurate optical atomic clock based on ultracold fermionic87Sr atoms confined in a one dimensional optical lattice. Currently, we have carried out a detailed evaluation of our clock at the 10−16level and can report stability at 2 x 10−15level at one second. At typical operating parameters for the clock we observe evidence of a density dependent clock shift. Operating the clock at a particular excitation ratio of ground state and excited clock state we observe a shift consistent with zero.