The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

Optical signatures of antiferromagnetic ordering of fermionic atoms in an optical lattice

Optical signatures of antiferromagnetic ordering of fermionic atoms in an optical lattice
Optical signatures of antiferromagnetic ordering of fermionic atoms in an optical lattice
We show how off-resonant light scattering can provide quantitative information on antiferromagnetic ordering of a two-species fermionic atomic gas in a tightly-confined two-dimensional optical lattice. We analyze the emerging magnetic ordering of atoms in the mean-field and in random phase approximations and show how the many-body static and dynamic correlations, evaluated in the standard Feynman-Dyson perturbation series, can be detected in the scattered light signal. The staggered magnetization reveals itself in the magnetic Bragg peaks of the individual spin components. These magnetic peaks, however, can be considerably suppressed in the absence of a true long-range antiferromagnetic order. The light scattered outside the diffraction orders can be collected by a lens with highly improved signal-to-shot-noise ratio when the diffraction maxima are blocked. The collective and single-particle excitations are identified in the spectrum of the scattered light. We find that the spin-conserving and spin-exchanging atomic transitions convey information on density, longitudinal spin, and transverse spin correlations. The different correlations and scattering processes exhibit characteristic angular distribution profiles for the scattered light, and e.g., the diagnostic signal of transverse spin correlations could be separated from the optical response by the scattering direction, frequency, or polarization. We also analyze the detection accuracy by estimating the number of required measurements, constrained by the heating rate that is determined by inelastic light-scattering events. The imaging technique could be extended to the two-species fermionic states in other regions of the phase diagram where the ground-state properties are still not fully understood.
1050-2947
31036
Cordobes Aguilar, Francisco
c29a0270-4630-4bd4-ac50-4dd8de8a8224
Ho, Andrew F.
c31d34ea-e67f-421a-9fca-e0b8a6e13294
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Cordobes Aguilar, Francisco
c29a0270-4630-4bd4-ac50-4dd8de8a8224
Ho, Andrew F.
c31d34ea-e67f-421a-9fca-e0b8a6e13294
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4

Cordobes Aguilar, Francisco, Ho, Andrew F. and Ruostekoski, Janne (2014) Optical signatures of antiferromagnetic ordering of fermionic atoms in an optical lattice. Physical Review A, 4 (3), 31036. (doi:10.1103/PhysRevX.4.031036).

Record type: Article

Abstract

We show how off-resonant light scattering can provide quantitative information on antiferromagnetic ordering of a two-species fermionic atomic gas in a tightly-confined two-dimensional optical lattice. We analyze the emerging magnetic ordering of atoms in the mean-field and in random phase approximations and show how the many-body static and dynamic correlations, evaluated in the standard Feynman-Dyson perturbation series, can be detected in the scattered light signal. The staggered magnetization reveals itself in the magnetic Bragg peaks of the individual spin components. These magnetic peaks, however, can be considerably suppressed in the absence of a true long-range antiferromagnetic order. The light scattered outside the diffraction orders can be collected by a lens with highly improved signal-to-shot-noise ratio when the diffraction maxima are blocked. The collective and single-particle excitations are identified in the spectrum of the scattered light. We find that the spin-conserving and spin-exchanging atomic transitions convey information on density, longitudinal spin, and transverse spin correlations. The different correlations and scattering processes exhibit characteristic angular distribution profiles for the scattered light, and e.g., the diagnostic signal of transverse spin correlations could be separated from the optical response by the scattering direction, frequency, or polarization. We also analyze the detection accuracy by estimating the number of required measurements, constrained by the heating rate that is determined by inelastic light-scattering events. The imaging technique could be extended to the two-species fermionic states in other regions of the phase diagram where the ground-state properties are still not fully understood.

Other
PhysRevX.4.031036 - Version of Record
Available under License Creative Commons Attribution.
Download (3MB)

More information

e-pub ahead of print date: 2 September 2014
Published date: 2 September 2014
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 368543
URI: http://eprints.soton.ac.uk/id/eprint/368543
ISSN: 1050-2947
PURE UUID: 59fdcf47-5c3e-4d74-b8a5-e0b80a57b918

Catalogue record

Date deposited: 04 Sep 2014 11:07
Last modified: 20 Nov 2021 18:24

Export record

Altmetrics

Contributors

Author: Francisco Cordobes Aguilar
Author: Andrew F. Ho

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×