{"id":632,"date":"2022-09-30T16:03:00","date_gmt":"2022-09-30T14:03:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=632"},"modified":"2025-10-28T15:22:25","modified_gmt":"2025-10-28T14:22:25","slug":"study-of-the-spin-correlations-between-dipolar-atoms-trapped-in-an-optical-lattice","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2022\/09\/30\/study-of-the-spin-correlations-between-dipolar-atoms-trapped-in-an-optical-lattice\/","title":{"rendered":"Study of the spin correlations between dipolar atoms trapped in an optical lattice"},"content":{"rendered":"\n
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Abstract:<\/strong><\/h4>\n\n\n\n

In this manuscript we study the development of spin correlations in an ensemble of lattice trapped chromium atoms. This platform is characterized by the greater spin of its constituents S = 3 and its long range anisotropic interactions.<\/p>\n\n\n\n

We report on two complementary experiments in which the growth of these correlations is tracked without relying on state tomography like techniques. These experiments build on the repeated measurements of global Zeeman populations and the estimation of these observables\u2019 first and second statistical moments. As it turns out, these statistical moments are affected by many phenomena, some of which are of physical significance (dipolar dynamics), and some of which are mostly irrelevant (e.g. total signal fluctuations or fluorescence noise) to our experimental endeavor.<\/p>\n\n\n\n

In the second chapter of this manuscript, we show how to extract the sole contribution of the quantum projection noise from our data in a most rigorous way.<\/p>\n\n\n\n

In the third chapter of this manuscript, we prove – experimentally – that spin correlations do indeed develop in our system as it thermalizes through dipole dipole interactions. The results of this chapter illustrate the new possibilities offered by high spin particles S > 1\/2 as far as correlations tracking is involved.<\/p>\n\n\n\n

In the fourth chapter we probe at these correlations using a novel bipartition method. We show that the correlations developing in our system are more finely structured than what might, a priori, be inferred from the results of the third chapter\u2019s experiment. The growth of these correlations is reminiscent of quantum thermalization scenarios, wherein isolated systems are predicted to thermalize through the development of entanglement.<\/p>\n\n\n\n

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2022 – Thesis – Youssef Aziz Alaoui<\/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 Youssef Aziz Alaoui<\/em>
Date:<\/strong> Vendredi 30 septembre 2022
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

Correlations, spins, optical lattice, dipolar interactions, thermalization.<\/p>\n\n\n\n

Jury:<\/strong><\/h4>\n\n\n\n
    \n
  • Christopher Westbrook (President)<\/li>\n\n\n\n
  • Thierry Lahaye (Referee)<\/li>\n\n\n\n
  • Sylvain Nascimb\u00e8ne (Referee)<\/li>\n\n\n\n
  • Michel Brune (Examiner)<\/li>\n\n\n\n
  • H\u00e9l\u00e8ne Perrin (Examiner)<\/li>\n\n\n\n
  • Laurent Vernac (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

    \u00c9tudes des corr\u00e9lations de spin dans un syst\u00e8me d’atomes dipolaires pi\u00e9g\u00e9s dans un r\u00e9seau optique<\/h3>\n\n\n\n

    Dans ce manuscrit nous \u00e9tudions le d\u00e9veloppement de corr\u00e9lations de spin entre atomes de chrome pi\u00e8g\u00e9s dans un r\u00e9seau optique. Ce syst\u00e8me se caract\u00e9rise par le grand spin (S=3) des atomes utilis\u00e9s ainsi que la grande port\u00e9e et l\u2019anisotropie des interactions interatomiques.<\/p>\n\n\n\n

    Dans ce manuscrit sont d\u00e9crites deux exp\u00e9riences dans lesquelles nous observons le d\u00e9veloppement de ces corr\u00e9lations de spin. Ces deux exp\u00e9riences sont bas\u00e9es sur la mesure r\u00e9p\u00e9t\u00e9e des populations Zeeman globales et l\u2019estimation de leurs second moments statistiques. Les valeurs exp\u00e9rimentales de ces propri\u00e9t\u00e9s statistiques ne sont pas uniquement dict\u00e9es par la dynamique dipolaire, et elle sont en g\u00e9n\u00e9ral impact\u00e9es par de nombreux autres ph\u00e9nom\u00e8nes al\u00e9atoires (les fluctuations du signal total, la fluorescence atomique etc\u2026).<\/p>\n\n\n\n

    Dans le deuxi\u00e8me chapitre de ce manuscrit, nous fournissons des m\u00e9thodes de traitement statistique des donn\u00e9es exp\u00e9rimentales qui permettent d\u2019isoler la contribution du bruit de projection quantique.<\/p>\n\n\n\n

    Dans le troisi\u00e8me chapitre de ce manuscrit, nous donnons la preuve exp\u00e9rimentale de la croissance de corr\u00e9lations de spin dans notre syst\u00e8me au fur et \u00e0 mesure de sa thermalisation. Les r\u00e9sultats de ce chapitre mettent en \u00e9vidence les possibilit\u00e9s nouvelles associ\u00e9es aux grands spins en termes de suivi des corr\u00e9lations.<\/p>\n\n\n\n

    Dans le quatri\u00e8me chapitre nous d\u00e9crivons la mise en \u0153uvre d\u2019une nouvelle m\u00e9thode de bipartition qui nous a permis d\u2019examiner plus finement la structure des corr\u00e9lations se d\u00e9veloppant dans notre syst\u00e8me et d\u2019en d\u00e9montrer la relative complexit\u00e9. La croissance de ces corr\u00e9lations concorde avec les scenarios de thermalisation quantique commun\u00e9ment accept\u00e9s selon lesquels la thermalisation des syst\u00e8mes isol\u00e9s est induite par l\u2019intrication des diff\u00e9rentes sous-parties du syst\u00e8me.<\/p>\n","protected":false},"excerpt":{"rendered":"

    French version: \u00c9tudes des corr\u00e9lations de spin dans un syst\u00e8me d’atomes dipolaires pi\u00e9g\u00e9s dans un r\u00e9seau optique Dans ce manuscrit nous \u00e9tudions le d\u00e9veloppement de corr\u00e9lations de spin entre atomes de chrome pi\u00e8g\u00e9s dans un r\u00e9seau optique. Ce syst\u00e8me se caract\u00e9rise par le grand spin (S=3) des atomes utilis\u00e9s ainsi que la grande port\u00e9e et […]<\/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":[49],"class_list":["post-632","post","type-post","status-publish","format-standard","hentry","category-phd-thesis","tag-youssef-aziz-alaoui"],"blocksy_meta":[],"yoast_head":"\nStudy of the spin correlations between dipolar atoms trapped in an optical lattice - 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\/2022\/09\/30\/study-of-the-spin-correlations-between-dipolar-atoms-trapped-in-an-optical-lattice\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Study of the spin correlations between dipolar atoms trapped in an optical lattice - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"French version: \u00c9tudes des corr\u00e9lations de spin dans un syst\u00e8me d’atomes dipolaires pi\u00e9g\u00e9s dans un r\u00e9seau optique Dans ce manuscrit nous \u00e9tudions le d\u00e9veloppement de corr\u00e9lations de spin entre atomes de chrome pi\u00e8g\u00e9s dans un r\u00e9seau optique. 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