{"id":647,"date":"2023-01-10T16:38:00","date_gmt":"2023-01-10T15:38:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=647"},"modified":"2025-10-28T15:21:37","modified_gmt":"2025-10-28T14:21:37","slug":"manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2023\/01\/10\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\/","title":{"rendered":"Manipulation of the nuclear spin states of 87Sr in degenerate SU(N)-symmetric Fermi gases"},"content":{"rendered":"\n
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Abstract:<\/strong><\/h4>\n\n\n\n

This thesis reviews our implementation of a quantum simulator for the Fermi-Hubbard model with strontium 87. Closed-shell 87<\/sup>Sr with large nuclear spin I=9\/2 benefits from a 7.4 kHz narrow intercombination line that played a central role in this thesis. It offers ideal conditions for the realization of spin orbit coupling schemes to coherently manipulate the 10 nuclear spin states with minimal spontaneous emission.<\/p>\n\n\n\n

First, we demonstrated a method to measure local densities smaller than the resolution limit of our imaging system. We overcome the limits due to aberrations and fast variations of the density profiles. Derived from the Beer-Lambert law, the non-linear correction lets us infer sizes as small as 1\/4 pixel.<\/p>\n\n\n\n

Then, we prepare polarized Fermi seas of 87<\/sup>Sr at T \/TF<\/sub> \u2243 0.25, with a spin purification by optical pumping. The spin populations are measured with a spin orbit coupling scheme associated with the narrow line, realizing a spin-dependent momentum transfer.<\/p>\n\n\n\n

We then demonstrate a method to coherently and selectively flip the spin states. The degeneracy of the ground state is lifted with a quadratic light shift. With a Raman adiabatic passage, the spins are flipped with 80 % efficiency that will be improved up to 95 %. Designed as an optical super lattice, this scheme will permit to write deterministic spin textures that will be the initial state for the quantum simulator.<\/p>\n\n\n\n

Finally, we study the loading of Fermi gases into the ground band of a 1D lattice with large sites spacing 2 \u03bcm. Our experiment highlights the critical importance of maintaining a sufficient collision rate to adiabatically follow the 3D to 2D dimensionality cross-over, and we simultaneously produce four 2D Fermi seas.<\/p>\n\n\n\n

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2023 – Thesis – Andrea Litvinov<\/a>Download<\/a><\/div>\n<\/div>\n\n\n\n
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Link to HAL<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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Soutenance de th\u00e8se de Andrea Litvinov<\/em>
Date:<\/strong> Mardi 10 janvier 2023
Location:<\/strong> Laboratoire de Physique des Lasers, 99 av. J.B. Cl\u00e9ment 93430 Villetaneuse France<\/p>\n\n\n\n

Keywords:<\/strong><\/h4>\n\n\n\n

Nuclear spins, strontium 87, spin orbit coupling, Raman adiabatic passage, degenerate Fermi gas, SU(N) symmetry, optical lattices.<\/p>\n\n\n\n

Jury:<\/strong><\/h4>\n\n\n\n
    \n
  • Francesca Ferlaino (President)<\/li>\n\n\n\n
  • Isabelle Bouchoule (Referee)<\/li>\n\n\n\n
  • J\u00e9r\u00f4me Beugnon (Referee)<\/li>\n\n\n\n
  • Fr\u00e9d\u00e9ric Chevy (Examiner)<\/li>\n\n\n\n
  • Romain Dubessy (Examiner)<\/li>\n\n\n\n
  • Martin Robert-de-Saint-Vincent (Examiner)<\/li>\n\n\n\n
  • Olivier Gorceix (Co-supervisor)<\/li>\n\n\n\n
  • Bruno Laburthe-Tolra (Supervisor)<\/li>\n<\/ul>\n<\/div>\n<\/div><\/div>\n\n\n\n

    French version:<\/h4>\n\n\n\n

    Manipulation des \u00e9tats de spin nucl\u00e9aire du 87Sr dans des gaz de Fermi d\u00e9g\u00e9n\u00e9r\u00e9s en sym\u00e9trie SU(N)<\/h3>\n\n\n\n

    Cette th\u00e8se pr\u00e9sente notre impl\u00e9mentation d’un simulateur quantique (SQ) pour le mod\u00e8le de Fermi-Hubbard avec des atomes de strontium 87. Le 87<\/sup>Sr de grand spin nucl\u00e9aire I=9\/2 b\u00e9n\u00e9ficie d’une raie d’intercombinaison \u00e9troite de 7.4 kHz jouant un r\u00f4le central dans cette th\u00e8se. Elle offre un cadre id\u00e9al pour manipuler les 10 \u00e9tats de spin nucl\u00e9aires par couplage spin-orbite (CSO) avec une \u00e9mission spontan\u00e9e minimale.<\/p>\n\n\n\n

    D’abord, nous d\u00e9montrons une m\u00e9thode pour mesurer des densit\u00e9s locales non r\u00e9solues par notre syst\u00e8me d’imagerie. Nous surpassons les limites dues aux abb\u00e9rations et variations rapides du profile de densit\u00e9, par une correction non-lin\u00e9aire \u00e9tablie \u00e0 partir de la loi de Beer-Lambert. Nous d\u00e9duisons des tailles jusqu’\u00e0 1\/4 pixel.<\/p>\n\n\n\n

    Ensuite, nous pr\u00e9parons des mers de Fermi de 87<\/sup>Sr polaris\u00e9es \u00e0 T\/TF<\/sub>=0.25 en utilisant une purification de spin par pompage optique. Les populations de spin sont mesur\u00e9es par des transferts d’impulsion s\u00e9lectifs en spin gr\u00e2ce au CSO.<\/p>\n\n\n\n

    Nous d\u00e9montrons de plus une m\u00e9thode pour retourner les spins de mani\u00e8re coh\u00e9rente et s\u00e9lective. La d\u00e9g\u00e9n\u00e9rescence de l’\u00e9tat fondamental est lev\u00e9e par un d\u00e9placement lumineux quadratique. Par passage Raman adiabatique, les spins sont retourn\u00e9s avec une efficacit\u00e9 de 80% qui sera am\u00e9lior\u00e9e \u00e0 95%. Con\u00e7u comme un r\u00e9seau optique, cette m\u00e9thode pemettra l’\u00e9criture deterministe d’une texture de spin qui sera l’\u00e9tat initial du SQ.<\/p>\n\n\n\n

    Enfin, nous \u00e9tudions le chargement d’un gaz de Fermi dans la bande fondamentale d’un r\u00e9seau 1D de grande p\u00e9riode 2 \u00b5m. Nous montrons l’importance de maintenir un taux de collision suffisant pour suivre le cross-over de g\u00e9om\u00e9trie de 3D \u00e0 2D, et nous produisons simultan\u00e9ment 4 mers de Fermi 2D.<\/p>\n","protected":false},"excerpt":{"rendered":"

    French version: Manipulation des \u00e9tats de spin nucl\u00e9aire du 87Sr dans des gaz de Fermi d\u00e9g\u00e9n\u00e9r\u00e9s en sym\u00e9trie SU(N) Cette th\u00e8se pr\u00e9sente notre impl\u00e9mentation d’un simulateur quantique (SQ) pour le mod\u00e8le de Fermi-Hubbard avec des atomes de strontium 87. Le 87Sr de grand spin nucl\u00e9aire I=9\/2 b\u00e9n\u00e9ficie d’une raie d’intercombinaison \u00e9troite de 7.4 kHz jouant […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[75],"tags":[24],"class_list":["post-647","post","type-post","status-publish","format-standard","hentry","category-phd-thesis","tag-andrea-litvinov"],"blocksy_meta":[],"yoast_head":"\nManipulation of the nuclear spin states of 87Sr in degenerate SU(N)-symmetric Fermi gases - Magnetic Quantum Gases<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2023\/01\/10\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Manipulation of the nuclear spin states of 87Sr in degenerate SU(N)-symmetric Fermi gases - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"French version: Manipulation des \u00e9tats de spin nucl\u00e9aire du 87Sr dans des gaz de Fermi d\u00e9g\u00e9n\u00e9r\u00e9s en sym\u00e9trie SU(N) Cette th\u00e8se pr\u00e9sente notre impl\u00e9mentation d’un simulateur quantique (SQ) pour le mod\u00e8le de Fermi-Hubbard avec des atomes de strontium 87. Le 87Sr de grand spin nucl\u00e9aire I=9\/2 b\u00e9n\u00e9ficie d’une raie d’intercombinaison \u00e9troite de 7.4 kHz jouant […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2023\/01\/10\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\/\" \/>\n<meta property=\"og:site_name\" content=\"Magnetic Quantum Gases\" \/>\n<meta property=\"article:published_time\" content=\"2023-01-10T15:38:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-28T14:21:37+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin PASQUIOU\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin PASQUIOU\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2023\\\/01\\\/10\\\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2023\\\/01\\\/10\\\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\\\/\"},\"author\":{\"name\":\"Benjamin PASQUIOU\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#\\\/schema\\\/person\\\/edd1441f419c30858a44ed007fc1fc79\"},\"headline\":\"Manipulation of the nuclear spin states of 87Sr in degenerate SU(N)-symmetric Fermi gases\",\"datePublished\":\"2023-01-10T15:38:00+00:00\",\"dateModified\":\"2025-10-28T14:21:37+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2023\\\/01\\\/10\\\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\\\/\"},\"wordCount\":699,\"publisher\":{\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/#organization\"},\"keywords\":[\"Andrea Litvinov\"],\"articleSection\":[\"PhD thesis\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2023\\\/01\\\/10\\\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\\\/\",\"url\":\"https:\\\/\\\/gqm.lpl.univ-paris13.fr\\\/index.php\\\/2023\\\/01\\\/10\\\/manipulation-of-the-nuclear-spin-states-of-87sr-in-degenerate-sun-symmetric-fermi-gases\\\/\",\"name\":\"Manipulation of the nuclear spin states of 87Sr in degenerate SU(N)-symmetric Fermi gases - 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