Vibrational mode multiplexing of ultracold atoms

TL;DR

This paper presents a method for fast vibrational mode multiplexing of ultracold atoms by inverse engineering a double-well trap, enabling efficient separation and recombination of vibrational states for quantum information processing.

Contribution

It introduces a rapid, inverse-engineered trap reshaping technique for vibrational mode multiplexing, improving speed over adiabatic methods.

Findings

Achieved fast splitting of vibrational states via inverse engineering.

Demonstrated population inversion through trap reshaping.

Provided a protocol for efficient mode multiplexing and demultiplexing.

Abstract

Sending multiple messages on qubits encoded in different vibrational modes of cold atoms or ions along a transmission waveguide requires to merge first and then separate the modes at input and output ends. Similarly, different qubits can be stored in the modes of a trap and be separated later. We design the fast splitting of a harmonic trap into an asymmetric double well so that the initial ground vibrational state becomes the ground state of one of two final wells, and the initial first excited state becomes the ground state of the other well. This might be done adiabatically by slowly deforming the trap. We speed up the process by inverse engineering a double-function trap using dynamical invariants. The separation (demultiplexing) followed by an inversion of the asymmetric bias and then by the reverse process (multiplexing) provides a population inversion protocol based solely on trap reshaping.