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| Auteurs principaux: | , |
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| Format: | Preprint |
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2024
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| Accès en ligne: | https://arxiv.org/abs/2407.03430 |
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| _version_ | 1866929566217404416 |
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| author | Dupuis, Nicolas Fedorenko, Andrei A. |
| author_facet | Dupuis, Nicolas Fedorenko, Andrei A. |
| contents | We determine the phase diagram of a one-dimensional Bose gas in the presence of disorder with short- and long-range correlations, the latter decaying with distance as $1/|x|^{1+σ}$. When $σ<0$, the Berezinskii-Kosterlitz-Thouless transition between the superfluid and the localized phase is driven by the long-range correlations and the Luttinger parameter $K$ takes the critical value $K_c(σ)=3/2-σ/2$. The localized phase is a Bose glass for $σ>σ_c=3-π^2/3\simeq -0.289868$, and a Mott glass -- characterized by a vanishing compressibility and a gapless conductivity -- when $σ<σ_c$. Our conclusions, based on the nonperturbative functional renormalization group and perturbative renormalization group, are confirmed by the study of the case $σ=-1$, corresponding to a perfectly correlated disorder in space, where the model is exactly solvable in the semiclassical limit $K\to 0^+$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03430 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas Dupuis, Nicolas Fedorenko, Andrei A. Quantum Gases We determine the phase diagram of a one-dimensional Bose gas in the presence of disorder with short- and long-range correlations, the latter decaying with distance as $1/|x|^{1+σ}$. When $σ<0$, the Berezinskii-Kosterlitz-Thouless transition between the superfluid and the localized phase is driven by the long-range correlations and the Luttinger parameter $K$ takes the critical value $K_c(σ)=3/2-σ/2$. The localized phase is a Bose glass for $σ>σ_c=3-π^2/3\simeq -0.289868$, and a Mott glass -- characterized by a vanishing compressibility and a gapless conductivity -- when $σ<σ_c$. Our conclusions, based on the nonperturbative functional renormalization group and perturbative renormalization group, are confirmed by the study of the case $σ=-1$, corresponding to a perfectly correlated disorder in space, where the model is exactly solvable in the semiclassical limit $K\to 0^+$. |
| title | Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2407.03430 |