The Geometric Phase Appears in the Ultracold Hydrogen Exchange Reaction

Abstract

Quantum reactive scattering calculations for the hydrogen exchange reaction H + H${}_2$($v=4$, $j=0$) $\to$ H + H${}_2$($v^{\prime }$, $j^{\prime }$) and its isotopic analogues are reported for ultracold collision energies. Due to the unique properties associated with ultracold collisions, it is shown that the geometric phase effectively controls the reactivity. The rotationally resolved rate coefficients computed with and without the geometric phase are shown to differ by up to four orders of magnitude. The effect is also significant in the vibrationally resolved and total rate coefficients. The dynamical origin of the effect is discussed and the large geometric phase effect reported here might be exploited to control the reactivity through the application of external fields or by the selection of a particular nuclear spin state.

10 pages, 9 figures

References in corpus (1)

• Ultracold chemistry with alkali-metal-rare-earth molecules

Cited by in corpus (10)

• Molecular geometric phase from the exact electron-nuclear factorization
• Stereodynamical control of a quantum scattering resonance in cold molecular collisions
• Controlling rotational quenching rates in cold molecular collisions
• Stereodynamics of rotationally inelastic scattering in cold He+HD collisions
• Geometric Phase Effects in the Ultracold D + HD $\to$ D + HD and D + HD $\leftrightarrow$ H + D${}_2$ Reactions
• Symmetry and the Geometric Phase in Ultracold Hydrogen-Exchange Reactions
• Signatures of Non-universal Quantum Dynamics of Ultracold Chemical Reactions of Polar Alkali-dimer Molecules with Alkali-metal Atoms: Li(${}^2$S) +NaLi($a^3{\Sigma }^{+}$) $\to$ Na(${}^2$S) + Li${}_2$($a^3{\Sigma }_u^{+}$)
• The Molecular Aharonov-Bohm effect Redux
• Resonances at very low temperature for the reaction D${}_2$+H
• Non-adiabatic quantum interference effects and chaoticity in the ultracold Li + LiNa $\to$ Li${}_2$ + Na reaction