TY - JOUR
T1 - Prospects for a polar-molecular-ion optical probe of varying proton-electron mass ratio
AU - Kokish, Mark G.
AU - Stollenwerk, Patrick R.
AU - Kajita, Masatoshi
AU - Odom, Brian C.
N1 - Funding Information:
B.C.O., M.G.K., and P.R.S. were supported by AFOSR Grant No. FA9550-13-1-0116, NSF Grant No. PHY-1404455, and NSF GRFP No. DGE-1324585. M.K. was supported by a Grant-in-Aid for Scientific Research (B) (Grant No. JP 17H02881), a Grant-in-Aid for Scientific Research (C) (Grants No. JP 17K06483 and No. 16K05500), and a Grant-in-Aid for Exploratory Research (Grant No. JP15K13545) from the Japan Society for the Promotion of Science (JSPS).
Funding Information:
We appreciate computational data on theory provided by Antonio Gustavo S. de Oliveira–Filho and Fernando R. Ornellas. We thank James Chou and Stephan Schiller for stimulating conversations. B.C.O., M.G.K., and P.R.S. were supported by AFOSR Grant No. FA9550-13-1-0116, NSF Grant No. PHY-1404455, and NSF GRFP No. DGE-1324585. M.K. was supported by a Grant-in-Aid for Scientific Research (B) (Grant No. JP 17H02881), a Grant-in-Aid for Scientific Research (C) (Grants No. JP 17K06483 and No. 16K05500), and a Grant-in-Aid for Exploratory Research (Grant No. JP15K13545) from the Japan Society for the Promotion of Science (JSPS).
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/11/29
Y1 - 2018/11/29
N2 - Molecules with deep vibrational potential wells provide optical intervals sensitive to variation in the proton-electron mass ratio (μ). On one hand, polar molecules are of interest since optical state preparation techniques have been demonstrated for such species. On the other hand, it might be assumed that polar species are unfavorable candidates, because typical molecule-frame dipole moments reduce vibrational state lifetimes and cause large polarizabilities and associated Stark shifts. Here, we consider single-photon spectroscopy on a vibrational overtone transition of the polar species TeH+, which is of practical interest because its diagonal Franck-Condon factors should allow rapid state preparation by optical pumping. We point out that all but the ground rotational state obtains a vanishing low-frequency scalar polarizability from coupling with adjacent rotational states, because of a fortuitous relationship between rigid rotor spacings and dipole matrix elements. We project that, for good choices of spectroscopy states, demonstrated levels of field control should make possible uncertainties of order 1×10-18, similar to those of leading atomic ion clocks. If fast state preparation can be achieved, the moderately long-lived vibrational states of TeH+ make possible a frequency uncertainty approaching 1×10-17 with one day of averaging for a single trapped ion. Observation over one year could probe for variation of μ with a sensitivity approaching the 1×10-18/yr level.
AB - Molecules with deep vibrational potential wells provide optical intervals sensitive to variation in the proton-electron mass ratio (μ). On one hand, polar molecules are of interest since optical state preparation techniques have been demonstrated for such species. On the other hand, it might be assumed that polar species are unfavorable candidates, because typical molecule-frame dipole moments reduce vibrational state lifetimes and cause large polarizabilities and associated Stark shifts. Here, we consider single-photon spectroscopy on a vibrational overtone transition of the polar species TeH+, which is of practical interest because its diagonal Franck-Condon factors should allow rapid state preparation by optical pumping. We point out that all but the ground rotational state obtains a vanishing low-frequency scalar polarizability from coupling with adjacent rotational states, because of a fortuitous relationship between rigid rotor spacings and dipole matrix elements. We project that, for good choices of spectroscopy states, demonstrated levels of field control should make possible uncertainties of order 1×10-18, similar to those of leading atomic ion clocks. If fast state preparation can be achieved, the moderately long-lived vibrational states of TeH+ make possible a frequency uncertainty approaching 1×10-17 with one day of averaging for a single trapped ion. Observation over one year could probe for variation of μ with a sensitivity approaching the 1×10-18/yr level.
UR - http://www.scopus.com/inward/record.url?scp=85057628572&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85057628572&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.98.052513
DO - 10.1103/PhysRevA.98.052513
M3 - Article
AN - SCOPUS:85057628572
VL - 98
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 052513
ER -