Shortcuts to adiabaticity for an ion in a rotating radially-tight trap

TL;DR

This paper develops methods to rapidly rotate a quantum ion in a harmonic trap, enabling fast state manipulation and squeezing without excitation, with various speed limits based on control capabilities.

Contribution

It introduces new schemes for fast trap rotation and state squeezing, avoiding excitation and expanding control options for quantum ion manipulation.

Findings

Successfully engineered fast rotation without excitation.

Proposed schemes with different speed limits based on control capabilities.

Created squeezed states via trap rotations without changing trap frequencies.

Abstract

We engineer the fast rotation of a quantum particle confined in an effectively one-dimensional, harmonic trap, for a predetermined rotation angle and time, avoiding final excitation. Different schemes are proposed with different speed limits that depend on the control capabilities. We also make use of trap rotations to create squeezed states without manipulating the trap frequencies.