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Theoretical analysis of cold atom interferometers with optical control of dynamics

James Stickney, Dana Z. Anderson, Alex A. Zozulya

Bulletin of the American Physical SocietyJun 6, 20070 citations

Atomic population distribution in the output ports of cold-atom interferometers with optical splitting and recombination

Ebubechukwu O. Ilo-Okeke, Alex A. Zozulya

Cold-atom interferometers with optical splitting and recombination use off-resonant laser beams to split a cloud of Bose-Einstein condensate (BEC) into two clouds that travel along different paths and are then recombined again using optical beams. After the recombination, the BEC in general populates both the cloud at rest and the moving clouds. Measuring a relative number of atoms in each of these clouds yields information about the relative phase shift accumulated by the atoms in the two moving clouds during the interferometric cycle. We derive the expression for the probability of finding any given number of atoms in each of the clouds, discuss features of the probability density distribution, analyze its dependence on the relative accumulated phase shift as a function of the strength of the interatomic interactions, and compare our results with experiment.Cold-atom interferometers with optical splitting and recombination use off-resonant laser beams to split a cloud of Bose-Einstein condensate (BEC) into two clouds that travel along different paths and are then recombined again using optical beams. After the recombination, the BEC in general populates both the cloud at rest and the moving clouds. Measuring a relative number of atoms in each of these clouds yields information about the relative phase shift accumulated by the atoms in the two moving clouds during the interferometric cycle. We derive the expression for the probability of finding any given number of atoms in each of the clouds, discuss features of the probability density distribution, analyze its dependence on the relative accumulated phase shift as a function of the strength of the interatomic interactions, and compare our results with experiment.

arXiv:1006.3767Physical Review ANov 3, 201018 citations

Cold atom interferometers and their applications in precision measurements

Jin Wang, Lin Zhou, Runbing Li +2 more

物理学前沿：英文版May 4, 200916 citations

Wave-function recombination instability in cold-atom interferometers

James Stickney, Alex A. Zozulya

Cold-atom interferometers use guiding potentials that split the wave function of the Bose-Einstein condensate and then recombine it. We present a theoretical analysis of the wave-function recombination instability that is due to the weak nonlinearity of the condensate. It is most pronounced when the accumulated phase difference between the arms of the interferometer is close to an odd multiple of $\ensuremath{\pi}$ and consists in exponential amplification of the weak ground state mode by the strong first excited mode. The instability exists for both trapped-atom and beam interferometers.Cold-atom interferometers use guiding potentials that split the wave function of the Bose-Einstein condensate and then recombine it. We present a theoretical analysis of the wave-function recombination instability that is due to the weak nonlinearity of the condensate. It is most pronounced when the accumulated phase difference between the arms of the interferometer is close to an odd multiple of $\ensuremath{\pi}$ and consists in exponential amplification of the weak ground state mode by the strong first excited mode. The instability exists for both trapped-atom and beam interferometers.

arXiv:cond-mat/0206187Physical Review ANov 8, 200228 citations

Development of a multi-species cold atom interferometer

Clément Diboune, Nassim Zahzam, Yannick Bidel +2 more

Bulletin of the American Physical SocietyMay 29, 20180 citations

Instability in a Cold Atom Interferometer

Daniel Pulido

In this thesis we present a theoretical anaylsis of the instability in a cold atom in-terferometer. Interferometers are often used to split a signal (e.g. optical beam, matter wave), where each part of the signal evolves separately, then the interferom-eter recombines the signal. Interference eects from the recombination can be used to extract information about the dierent environments that the split signal tra-versed. The interferometer considered here splits a matter wave, the wave function of a Bose-Einstein Condensate, by using a guiding potential and then recombines the matter wave. The recombination process is shown to be unstable and the nature of the instability is characterized. Acknowledgements It’s been a pleasure working with my advisor Professor Zozulya. He has taught me, or more precisely, re-taught me quantum mechanics from scratch. Before meeting him, a "ket " or a "bra " seemed like an unholy and unnecessary abstraction. Now, I am loathe to write down an actual function, and am perfectly happy living in aIn this thesis we present a theoretical anaylsis of the instability in a cold atom in-terferometer. Interferometers are often used to split a signal (e.g. optical beam, matter wave), where each part of the signal evolves separately, then the interferom-eter recombines the signal. Interference eects from the recombination can be used to extract information about the dierent environments that the split signal tra-versed. The interferometer considered here splits a matter wave, the wave function of a Bose-Einstein Condensate, by using a guiding potential and then recombines the matter wave. The recombination process is shown to be unstable and the nature of the instability is characterized. Acknowledgements It’s been a pleasure working with my advisor Professor Zozulya. He has taught me, or more precisely, re-taught me quantum mechanics from scratch. Before meeting him, a "ket " or a "bra " seemed like an unholy and unnecessary abstraction. Now, I am loathe to write down an actual function, and am perfectly happy living in a

Jan 1, 20031 citation

Analysis of cold-atom interferometer with optical beam splitting and recombination

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