19 citations · 36 across the 3 of their papers we have counts for
4 papers
Equilibration of the planar modes of ultracold two dimensional ion crystals in a Penning trap
Chen Tang, Athreya Shankar, Dominic Meiser +3
Planar thermal equilibration is studied using direct numerical simulations of ultracold two-dimensional (2D) ion crystals in a Penning trap with a rotating wall. The large magnetic…
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 +5
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 suc…
Normal Modes, Rotational Inertia, and Thermal Fluctuations of Trapped Ion Crystals
Daniel H. E. Dubin
The normal modes of a trapped ion crystal are derived using an approach based on the Hermitian properties of the systems dynamical matrix. This method is equivalent to the standard…
Operator integrals and sesquilinear forms
Daniel Dubin, Jukka Kiukas, Juha-Pekka Pellonpää +1
We consider various systematic ways of defining unbounded operator valued integrals of complex functions with respect to (mostly) positive operator measures and positive sesquiline…