Localisation dynamique à N-corps d'un gaz de Tonks-Girardeau Article Swipe
Le Kicked Rotor, paradigme du chaos quantique, est l'analogue dans l'espace des impulsions d'un système d'Anderson désordonné, de part le fait qu'on y retrouve le phénomène de localisation dites dynamique. Nous étudions l'effet des interactions sur la localisation dynamique dans un gaz de Bose en interaction forte, appelé gaz de Tonks-Girardeau. En exploitant cette limite et la correspondance de Bose-Fermi, nous étudions la physique d'un gaz de Tonks-Girardeau soumis à des kicks au travers de la matrice réduite à un corps du système. Nous trouvons une similitude du système avec un gaz de Bose à température finie, nous caractérisons les observables du système, notamment son énergie, sa distribution en impulsion, ainsi que la cohérence spatiale. Nous relions la température effective émergente aux caractéristiques de localisation du système, alors dans une phase localisée dynamiquement à N-corps. Nous présentons également une caractérisations de la version quasi-périodique du Kicked Rotor, analogue d'un système d'Anderson tridimensionnel, marqué par une transition de phase entre un régime localisé et diffusif. Nous analysons enfin la distribution en impulsion au seuil critique, et caractérisons le pic central, et le comportement à petites et grandes impulsions, dotés de trois comportements différents.
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Localisation dynamique à N-corps d'un gaz de Tonks-GirardeauWork title
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preprintOpenAlex work type
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frPrimary language
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2022Year of publication
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2022-09-06Full publication date if available
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Vincent VuateletList of authors in order
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https://theses.hal.science/tel-03965367Publisher landing page
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YesWhether a free full text is available
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Environmental scienceTop concepts (fields/topics) attached by OpenAlex
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