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19 April 2024 |
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Broadening of the drumhead mode spectrum due to in-plane thermal fluctuations of two-dimensional trapped ion crystals in a Penning trap | | Athreya Shankar
; Chen Tang
; Matthew Affolter
; Kevin Gilmore
; Daniel H. E. Dubin
; Scott Parker
; Murray J. Holland
; John J. Bollinger
; | | Date: |
19 Aug 2020 | | Abstract: | Two-dimensional crystals of ions stored in Penning traps are a leading
platform for quantum simulation and sensing experiments. For small amplitudes,
the out-of-plane motion of such crystals can be described by a discrete set of
normal modes called the drumhead modes, which can be used to implement a range
of quantum information protocols. However, experimental observations of
crystals with Doppler-cooled and even near-ground-state-cooled drumhead modes
reveal an unresolved drumhead mode spectrum. In this work, we establish
in-plane thermal fluctuations in ion positions as a major contributor to the
broadening of the drumhead mode spectrum. In the process, we demonstrate how
the confining magnetic field leads to unconventional in-plane normal modes,
whose average potential and kinetic energies are not equal. This property, in
turn, has implications for the sampling procedure required to choose the
in-plane initial conditions for molecular dynamics simulations. For current
operating conditions of the NIST Penning trap, our study suggests that the two
dimensional crystals produced in this trap undergo in-plane potential energy
fluctuations of the order of $10$ mK. Our study therefore motivates the need
for designing improved techniques to cool the in-plane degrees of freedom. | | Source: | arXiv, 2008.08239 | | Services: | Forum | Review | PDF | Favorites | |
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