Gravitational wave analogues in spin nematics and cold atoms

Fuente: arXiv
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Auteurs principaux: Chojnacki, Leilee, Pohle, Rico, Yan, Han, Akagi, Yutaka, Shannon, Nic
Format: Preprint
Publié: 2023
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author Chojnacki, Leilee
Pohle, Rico
Yan, Han
Akagi, Yutaka
Shannon, Nic
author_facet Chojnacki, Leilee
Pohle, Rico
Yan, Han
Akagi, Yutaka
Shannon, Nic
contents Many large-scale phenomena in our Universe, such as gravitational waves, are challenging to reproduce in laboratory settings. However, parallels with condensed matter systems can provide alternative routes for experimental accessibility. Here we show how spin nematic phases provide a low-energy avenue for accessing the physics of linearized gravity, and in particular that their Goldstone modes are relativistically-dispersing massless spin-2 excitations, analogous to gravitational waves. We show at the level of the action that the low-energy effective field theory describing a spin nematic is in correspondence with that of linearized gravity. We then explicitly identify a microscopic model of a spin-1 magnet whose excitations in the low energy limit are relativistically dispersing, massless spin-2 Bosons which are in one-to-one correspondence with gravitational waves and, supported by simulation, outline a procedure for directly observing these analogue waves in a cold gas of $^{23}$Na atoms.
format Preprint
id arxiv_https___arxiv_org_abs_2310_10078
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Gravitational wave analogues in spin nematics and cold atoms
Chojnacki, Leilee
Pohle, Rico
Yan, Han
Akagi, Yutaka
Shannon, Nic
Strongly Correlated Electrons
Other Condensed Matter
Quantum Gases
Many large-scale phenomena in our Universe, such as gravitational waves, are challenging to reproduce in laboratory settings. However, parallels with condensed matter systems can provide alternative routes for experimental accessibility. Here we show how spin nematic phases provide a low-energy avenue for accessing the physics of linearized gravity, and in particular that their Goldstone modes are relativistically-dispersing massless spin-2 excitations, analogous to gravitational waves. We show at the level of the action that the low-energy effective field theory describing a spin nematic is in correspondence with that of linearized gravity. We then explicitly identify a microscopic model of a spin-1 magnet whose excitations in the low energy limit are relativistically dispersing, massless spin-2 Bosons which are in one-to-one correspondence with gravitational waves and, supported by simulation, outline a procedure for directly observing these analogue waves in a cold gas of $^{23}$Na atoms.
title Gravitational wave analogues in spin nematics and cold atoms
topic Strongly Correlated Electrons
Other Condensed Matter
Quantum Gases
url https://arxiv.org/abs/2310.10078