# T^3-Stern-Gerlach Matter-Wave Interferometer

## TL;DR

This paper introduces a novel matter-wave interferometer that uses magnetic field gradients to achieve phase scaling with the cube of interaction time, enabling high-precision surface probing without light-based splitting.

## Contribution

It presents a unique full-loop Stern-Gerlach interferometer utilizing magnetic pulses, distinct from traditional light-based atom interferometers.

## Key findings

- Phase scales with the cube of the atom's interaction time.
- No light is used for wave packet splitting or recombination.
- Potential for high-precision surface sensing at close distances.

## Abstract

We present a unique matter-wave interferometer whose phase scales with the cube of the time the atom spends in the interferometer. Our scheme is based on a full-loop Stern-Gerlach interferometer incorporating four magnetic field gradient pulses to create a state-dependent force. In contrast to typical atom interferometers which make use of laser light for the splitting and recombination of the wave packets, this realization uses no light and can therefore serve as a high-precision surface probe at very close distances.