2009
DOI: 10.1103/physreva.80.062110
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Berry-like phases in structured atoms and molecules

Abstract: Quantum mechanical phases arising from a periodically varying Hamiltonian are considered. These phases are derived from the eigenvalues of a stationary, ``dressed'' Hamiltonian that is able to treat internal atomic or molecular structure in addition to the time variation. In the limit of an adiabatic time variation, the usual Berry phase is recovered. For more rapid variation, non-adiabatic corrections to the Berry phase are recovered in perturbation theory, and their explicit dependence on internal structure … Show more

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Cited by 47 publications
(60 citation statements)
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“…As a test of the basis set employed, we conducted equivalent calculations on the neutral YbRb molecule, yielding values as expected, consistent with those of Meyer and Bohn [30].…”
Section: Electronic Structure Calculationmentioning
confidence: 76%
“…As a test of the basis set employed, we conducted equivalent calculations on the neutral YbRb molecule, yielding values as expected, consistent with those of Meyer and Bohn [30].…”
Section: Electronic Structure Calculationmentioning
confidence: 76%
“…The realization of mixtures of trapped ultracold atomic gases [1][2][3][4][5] has opened new paths towards the formation of ultracold diatomic molecules [6][7][8][9][10], quantumstate control of chemical reactions [11], prospects for quantum computing with polar molecules [12][13][14], tests of fundamental symmetries [15][16][17] and studies of fundamental aspects of correlated many-body systems [18], and dilute quantum degenerate systems [19][20][21][22][23]. Cotrapped diamagnetic-paramagnetic mixtures have also made possible experimental realization of interspecies Feshbach resonances [24][25][26], two-species Bose-Einstein condensates and mixed Bose-Fermi and Fermi-Fermi degenerate gases [18,[27][28][29].…”
Section: Introductionmentioning
confidence: 99%
“…for a 1.5 µm laser), but possible, given the Doppler limit for Hg intercombination line is low (31 µK). Long term goals include high precision spectroscopy and molecule formation for the purposes of the search for new physics [34].…”
Section: Discussionmentioning
confidence: 99%
“…The effort to simultaneously cool Rb and Hg atoms despite the experimental challenges -for example, the deep UV 254 nm wavelength used for Doppler cooling of Hg -is driven by the possibility of obtaining the grand prize of ultracold RbHg molecules. Dimers containing the Hg atom were proposed by Meyer and Bohn as appropriate candidates for the search for the electric dipole moment of the electron [34], which is due to the fact that Hg is among the heaviest atoms which can be laser cooled.…”
Section: Introductionmentioning
confidence: 99%