{"id":99645,"date":"2019-12-11T16:02:37","date_gmt":"2019-12-12T00:02:37","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2019\/12\/higgs-mode-in-a-strongly-interacting-fermionic-superfluid"},"modified":"2019-12-11T16:02:37","modified_gmt":"2019-12-12T00:02:37","slug":"higgs-mode-in-a-strongly-interacting-fermionic-superfluid","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2019\/12\/higgs-mode-in-a-strongly-interacting-fermionic-superfluid","title":{"rendered":"Higgs mode in a strongly interacting fermionic superfluid"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/higgs-mode-in-a-strongly-interacting-fermionic-superfluid2.jpg\"><\/a><\/p>\n<p>Circa 2018<\/p>\n<hr>\n<p>Higgs and Goldstone modes are possible collective modes of an order parameter on spontaneously breaking a continuous symmetry. Whereas the low-energy Goldstone (phase) mode is always stable, additional symmetries are required to prevent the Higgs (amplitude) mode from rapidly decaying into low-energy excitations. In high-energy physics, where the Higgs boson<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 1\" title=\"Higgs, P. W. Broken symmetries and the masses of gauge bosons. Phys. Rev. Lett. 13, 508\u2013509 (1964).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR1\" id=\"ref-link-section-d55143e382\">1<\/a><\/sup> has been found after a decades-long search, the stability is ensured by Lorentz invariance. In the realm of condensed-matter physics, particle\u2013hole symmetry can play this role<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 2\" title=\"Littlewood, P. B. & Varma, C. M. Gauge-invariant theory of the dynamical interaction of charge density waves and superconductivity. Phys. Rev. Lett. 47, 811\u2013814 (1981).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR2\" id=\"ref-link-section-d55143e386\">2<\/a><\/sup> and a Higgs mode has been observed in weakly interacting superconductors<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Sooryakumar, R. & Klein, M. V. Raman scattering by superconducting-gap excitations and their coupling to charge-density waves. Phys. Rev. Lett. 45, 660\u2013662 (1980).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR3\" id=\"ref-link-section-d55143e390\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Matsunaga, R. et al. Higgs amplitude mode in the BCS superconductors Nb1\u2212xTixN induced by terahertz pulse excitation. Phys. Rev. Lett. 111, 057002 (2013).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR4\" id=\"ref-link-section-d55143e390_1\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"Sherman, D. et al. The Higgs mode in disordered superconductors close to a quantum phase transition. Nat. Phys. 11, 188\u2013192 (2015).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR5\" id=\"ref-link-section-d55143e393\">5<\/a><\/sup>. However, whether the Higgs mode is also stable for strongly correlated superconductors in which particle\u2013hole symmetry is not precisely fulfilled or whether this mode becomes overdamped has been the subject of numerous discussions<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Pekker, D. & Varma, C. Amplitude\/Higgs modes in condensed matter physics. Annu. Rev. Condens. Matter Phys. 6, 269\u2013297 (2015).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR6\" id=\"ref-link-section-d55143e397\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Podolsky, D., Auerbach, A. & Arovas, D. P. Visibility of the amplitude (Higgs) mode in condensed matter. Phys. Rev. B 84, 174522 (2011).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR7\" id=\"ref-link-section-d55143e397_1\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Scott, R. G., Dalfovo, F., Pitaevskii, L. P. & Stringari, S. Rapid ramps across the BEC\u2013BCS crossover: A route to measuring the superfluid gap. Phys. Rev. A. 86, 053604 (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR8\" id=\"ref-link-section-d55143e397_2\">8<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Barlas, Y. & Varma, C. M. Amplitude or Higgs modes in d-wave superconductors. Phys. Rev. B 87, 054503 (2013).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR9\" id=\"ref-link-section-d55143e397_3\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Liu, B., Zhai, H. & Zhang, S. Evolution of the Higgs mode in a fermion superfluid with tunable interactions. Phys. Rev. A 93, 033641 (2016).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR10\" id=\"ref-link-section-d55143e397_4\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 11\" title=\"Han, X., Liu, B. & Hu, J. Observability of Higgs mode in a system without Lorentz invariance. Phys. Rev. A 94, 033608 (2016).\" href=\"https:\/\/www.nature.com\/articles\/s41567-018-0128-6#ref-CR11\" id=\"ref-link-section-d55143e400\">11<\/a><\/sup>. Experimental evidence is still lacking, in particular owing to the difficulty of exciting the Higgs mode directly. Here, we observe the Higgs mode in a strongly interacting superfluid Fermi gas. By inducing a periodic modulation of the amplitude of the superconducting order parameter \u0394, we observe an excitation resonance at the frequency 2\u0394\/<i>h<\/i>. For strong coupling, the peak width broadens and eventually the mode disappears when the Cooper pairs turn into tightly bound dimers signalling the eventual instability of the Higgs mode.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Circa 2018 Higgs and Goldstone modes are possible collective modes of an order parameter on spontaneously breaking a continuous symmetry. Whereas the low-energy Goldstone (phase) mode is always stable, additional symmetries are required to prevent the Higgs (amplitude) mode from rapidly decaying into low-energy excitations. In high-energy physics, where the Higgs boson1 has been found [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1635,48],"tags":[],"class_list":["post-99645","post","type-post","status-publish","format-standard","hentry","category-materials","category-particle-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/99645","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=99645"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/99645\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=99645"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=99645"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=99645"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}