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European Quantum Electronics Conference (EQEC)

Performance of a nonlinear atom interferometer integrated on a chip

Antonio Negretti

Published Jan 18, 2006• 0 citations
Publisher

Abstract

We study the dynamics of Bose-Einstein condensates in time-dependent microtraps in view of applications in atom interferometry. The scheme is based on the slow splitting and recombination of an elongated harmonic trap. It is shown that the nonlinearity due to the mean field atom-atom interaction increases the sensitivity of the interferometers to an applied phase shift. This feature is connected with the adiabatic generation of a dark soliton. The soliton typically oscillates in the recombined trap, and its amplitude provides an alternative readout of the interferometer phase. We analyse the robustness of this phenomenon with respect to thermal fluctuations, due to (i) initially excited Bogoliubov modes and (ii) magnetic near fields in an electromagnetic surface trap.

DOI
10.1109/eqec.2005.1567391

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We study the dynamics of Bose-Einstein condensates in time-dependent microtraps in view of applications in atom interferometry. The scheme is based on the slow splitting and recombination of an elongated harmonic trap. It is shown that the nonlinearity due to the mean field atom-atom interaction increases the sensitivity of the interferometers to an applied phase shift. This feature is connected with the adiabatic generation of a dark soliton. The soliton typically oscillates in the recombined trap, and its amplitude provides an alternative readout of the interferometer phase. We analyse the robustness of this phenomenon with respect to thermal fluctuations, due to (i) initially excited Bogoliubov modes and (ii) magnetic near fields in an electromagnetic surface trap.
We study the dynamics of Bose–Einstein condensates in time-dependent microtraps for the purpose of understanding the influence of the mean field interaction on the performance of interferometers. We identify conditions where the nonlinearity due to atom interactions increases the sensitivity of interferometers to a phase shift. This feature is connected with the adiabatic generation of a dark soliton. We analyse the robustness of this phenomenon with respect to thermal fluctuations, due to excited near fields in an electromagnetic surface trap.
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Particle-wave duality enables the construction of interferometers for matter waves, which complement optical interferometers in precision measurement devices. This requires the development of atom-optics analogues to beam splitters, phase shifters and recombiners. Integrating these elements into a single device has been a long-standing goal. Here we demonstrate a full Mach–Zehnder sequence with trapped Bose–Einstein condensates confined on an atom chip. Particle interactions in our Bose–Einstein condensate matter waves lead to a nonlinearity, absent in photon optics. We exploit it to generate a non-classical state having reduced number fluctuations inside the interferometer. Making use of spatially separated wave packets, a controlled phase shift is applied and read out by a non-adiabatic matter-wave recombiner. We demonstrate coherence times a factor of three beyond what is expected for coherent states, highlighting the potential of entanglement as a resource for metrology. Our results pave the way for integrated quantum-enhanced matter-wave sensors. Atom interferometers exploit wave-particle duality and can be used as sensitive measurement devices. Berrada et al.present a Mach–Zehnder interferometer for Bose–Einstein condensates trapped on an atom chip and demonstrate enhanced performance using non-classical states.
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We numerically study the classical and quantum dynamics of an atomic bright soliton in a highly elongated one dimensional harmonic trap with a Gaussian barrier. In the regime of the recent experiment by Dyke et al the system realizes a coherent nonlinear soliton beam-splitter and interferometer whose accuracy we analyze. In the case of tighter radial trap confinement and enhanced quantum fluctuations, a split soliton can represent a spin-squeezed, or alternatively, a fragmented condensate with reduced phase coherence that can be measured by interfering the split soliton by the barrier. We also find large quantum mechanical uncertainties in the soliton’s position and momentum due to nonlinear interaction with the barrier.