Transient Non-Confining Potentials for Speeding Up a Single Ion Heat Pump

TL;DR

This paper introduces a method to accelerate a single ion heat pump using transient non-confining potentials, maintaining efficiency while reducing cycle time through invariant-based inverse engineering and novel trap geometries.

Contribution

It presents a new approach employing transient non-confining potentials and inverse engineering to speed up ion-based heat pumps without efficiency loss.

Findings

Speed-up achieved with invariant-based inverse engineering.

Stability of inverted harmonic trapping potentials verified.

Potential implementation via additional control electrodes or trap geometry.

Abstract

We propose speeding up a single ion heat pump based on a tapered ion trap. If a trapped ion is excited in an oscillatory motion axially the radial degrees of freedom are cyclically expanded and compressed such that heat can be pumped between two reservoirs coupled to the ion at the turning points of oscillation. Through the use of invariant-based inverse engineering we can speed up the process without sacrificing the efficiency of each heat pump cycle. This additional control can be supplied with additional control electrodes or it can be encoded into the geometry of the radial trapping electrodes. We present novel insight how speed up can be achieved through the use of inverted harmonic potentials and verified the stability of such trapping conditions.