Beyond the semiclassical approximation in atom interferometry
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915205965938688 |
|---|---|
| author | LaRow, W. Edwards, M. Sackett, C. A. |
| author_facet | LaRow, W. Edwards, M. Sackett, C. A. |
| contents | We describe a quantum perturbative approach to evaluating the phase shift of an atom interferometer in a weakly anharmonic trap. This provides a simple way to evaluate quantum corrections to the standard semi-classical approximation. The calculation benefits from the use of generalized coherent states for a basis. We find that the form of the semi-classical approximation remains valid to first order in the anharmonic perturbation, but that phase differences arise because the trajectory of a quantum wave packet will generally deviate from that of a classical particle. The quantum correction to the phase is a factor $\ell^2/A^2$ smaller than the semi-classical perturbation itself, where $\ell$ is the quantum harmonic oscillator length scale and $A$ is the classical amplitude of the motion. We provide analytical results for one-dimensional perturbations of power three through six in the position coordinate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08040 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beyond the semiclassical approximation in atom interferometry LaRow, W. Edwards, M. Sackett, C. A. Quantum Physics Atomic Physics We describe a quantum perturbative approach to evaluating the phase shift of an atom interferometer in a weakly anharmonic trap. This provides a simple way to evaluate quantum corrections to the standard semi-classical approximation. The calculation benefits from the use of generalized coherent states for a basis. We find that the form of the semi-classical approximation remains valid to first order in the anharmonic perturbation, but that phase differences arise because the trajectory of a quantum wave packet will generally deviate from that of a classical particle. The quantum correction to the phase is a factor $\ell^2/A^2$ smaller than the semi-classical perturbation itself, where $\ell$ is the quantum harmonic oscillator length scale and $A$ is the classical amplitude of the motion. We provide analytical results for one-dimensional perturbations of power three through six in the position coordinate. |
| title | Beyond the semiclassical approximation in atom interferometry |
| topic | Quantum Physics Atomic Physics |
| url | https://arxiv.org/abs/2410.08040 |