Quantum fluctuations in atomic Josephson junctions: the role of dimensionality
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913191985938432 |
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| author | Bardin, Andrea Lorenzi, Francesco Salasnich, Luca |
| author_facet | Bardin, Andrea Lorenzi, Francesco Salasnich, Luca |
| contents | We investigate the role of quantum fluctuations in the dynamics of a bosonic Josephson junction in $D$ spatial dimensions, by using beyond mean-field Gaussian corrections. We derive some key dynamical properties in a systematic way for $D=3, 2, 1$. In particular, we compute the Josephson frequency in the regime of low population imbalance. We also obtain the critical strength of the macroscopic quantum self-trapping. Our results show that quantum corrections increase the Josephson frequency in spatial dimensions $D=2$ and $D=3$, but they decrease it in the $D=1$ case. The critical strength of macroscopic quantum self-trapping is instead reduced by quantum fluctuations in $D=2$ and $D=3$ cases, while it is enhanced in the $D=1$ configuration. We show that the difference between the cases of D = 2 and D = 3 on one side, and D = 1 on the other, can be related to the qualitatively different dependence of the interaction strength on the scattering length in the different dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_02284 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum fluctuations in atomic Josephson junctions: the role of dimensionality Bardin, Andrea Lorenzi, Francesco Salasnich, Luca Quantum Gases We investigate the role of quantum fluctuations in the dynamics of a bosonic Josephson junction in $D$ spatial dimensions, by using beyond mean-field Gaussian corrections. We derive some key dynamical properties in a systematic way for $D=3, 2, 1$. In particular, we compute the Josephson frequency in the regime of low population imbalance. We also obtain the critical strength of the macroscopic quantum self-trapping. Our results show that quantum corrections increase the Josephson frequency in spatial dimensions $D=2$ and $D=3$, but they decrease it in the $D=1$ case. The critical strength of macroscopic quantum self-trapping is instead reduced by quantum fluctuations in $D=2$ and $D=3$ cases, while it is enhanced in the $D=1$ configuration. We show that the difference between the cases of D = 2 and D = 3 on one side, and D = 1 on the other, can be related to the qualitatively different dependence of the interaction strength on the scattering length in the different dimensions. |
| title | Quantum fluctuations in atomic Josephson junctions: the role of dimensionality |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2306.02284 |