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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.10757 |
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| _version_ | 1866909498194526208 |
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| author | Riche, Flavio Gonçalves, Miguel Amorim, Bruno Castro, Eduardo V. Ribeiro, Pedro |
| author_facet | Riche, Flavio Gonçalves, Miguel Amorim, Bruno Castro, Eduardo V. Ribeiro, Pedro |
| contents | We unveil a novel mechanism for quasicondensation of hard-core bosons in the presence of quasiperiodicity-induced multifractal single-particle states. The new critical state, here dubbed fractal quasicondensate, is characterized by natural orbitals with multifractal properties and by an occupancy of the lowest natural orbital, λ0 ~ Lγ, which grows with system size but with a nonuniversal scaling exponent, γ < 1/2. In contrast to fractal quasicondensates obtained when the chemical potential lies in a region of multifractal single-particle states, placing the chemical potential in regions of localized or delocalized states yields, respectively, no condensation or the usual 1D quasicondensation with γ = 1/2. Our findings are established by studying one-dimensional hardcore bosons subjected to various quasiperiodic potentials, including the well-known Aubry-Andre model, employing a mapping to non-interacting fermionics that allows for numerically exact results. We discuss how to test our findings in state-of-the-art ultracold atom experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10757 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fractal Quasicondensation in One Dimension Riche, Flavio Gonçalves, Miguel Amorim, Bruno Castro, Eduardo V. Ribeiro, Pedro Quantum Gases Disordered Systems and Neural Networks Strongly Correlated Electrons 82B27 (Primary), 81V73 (Secondary) We unveil a novel mechanism for quasicondensation of hard-core bosons in the presence of quasiperiodicity-induced multifractal single-particle states. The new critical state, here dubbed fractal quasicondensate, is characterized by natural orbitals with multifractal properties and by an occupancy of the lowest natural orbital, λ0 ~ Lγ, which grows with system size but with a nonuniversal scaling exponent, γ < 1/2. In contrast to fractal quasicondensates obtained when the chemical potential lies in a region of multifractal single-particle states, placing the chemical potential in regions of localized or delocalized states yields, respectively, no condensation or the usual 1D quasicondensation with γ = 1/2. Our findings are established by studying one-dimensional hardcore bosons subjected to various quasiperiodic potentials, including the well-known Aubry-Andre model, employing a mapping to non-interacting fermionics that allows for numerically exact results. We discuss how to test our findings in state-of-the-art ultracold atom experiments. |
| title | Fractal Quasicondensation in One Dimension |
| topic | Quantum Gases Disordered Systems and Neural Networks Strongly Correlated Electrons 82B27 (Primary), 81V73 (Secondary) |
| url | https://arxiv.org/abs/2310.10757 |