Dynamics of spatial phase coherence in a dissipative Bose-Hubbard atomic system
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
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2024
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| author | Vatré, Rémy Bouganne, Raphaël Aguilera, Manel Bosch Ghermaoui, Alexis Beugnon, Jérôme Lopes, Raphael Gerbier, Fabrice |
| author_facet | Vatré, Rémy Bouganne, Raphaël Aguilera, Manel Bosch Ghermaoui, Alexis Beugnon, Jérôme Lopes, Raphael Gerbier, Fabrice |
| contents | We investigate the loss of spatial coherence of one-dimensional bosonic gases in optical lattices illuminated by a near-resonant excitation laser. Because the atoms recoil in a random direction after each spontaneous emission, the atomic momentum distribution progressively broadens. Equivalently, the spatial correlation function (the Fourier-conjugate quantity of the momentum distribution) progressively narrows down as more photons are scattered. Here we measure the correlation function of the matter field for fixed distances corresponding to nearest-neighbor (n-n) and next-nearest-neighbor (n-n-n) sites of the optical lattice as a function of time, hereafter called n-n and n-n-n correlators. For strongly interacting lattice gases, we find that the n-n correlator $C_1$ decays as a power-law at long times, $C_1\propto 1/t^α$, in stark contrast with the exponential decay expected for independent particles. The power-law decay reflects a non-trivial dissipative many-body dynamics, where interactions change drastically the interplay between fluorescence destroying spatial coherence, and coherent tunnelling between neighboring sites restoring spatial coherence at short distances. The observed decay exponent $α\approx 0.54(6) $ is in good agreement with the prediction $α=1/2$ from a dissipative Bose-Hubbard model accounting for the fluorescence-induced decoherence. Furthermore, we find that the n-n correlator $C_1$ controls the n-n-n correlator $C_2$ through the relation $C_2 \approx C_1^2$, also in accordance with the dissipative Bose-Hubbard model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_03226 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics of spatial phase coherence in a dissipative Bose-Hubbard atomic system Vatré, Rémy Bouganne, Raphaël Aguilera, Manel Bosch Ghermaoui, Alexis Beugnon, Jérôme Lopes, Raphael Gerbier, Fabrice Quantum Gases We investigate the loss of spatial coherence of one-dimensional bosonic gases in optical lattices illuminated by a near-resonant excitation laser. Because the atoms recoil in a random direction after each spontaneous emission, the atomic momentum distribution progressively broadens. Equivalently, the spatial correlation function (the Fourier-conjugate quantity of the momentum distribution) progressively narrows down as more photons are scattered. Here we measure the correlation function of the matter field for fixed distances corresponding to nearest-neighbor (n-n) and next-nearest-neighbor (n-n-n) sites of the optical lattice as a function of time, hereafter called n-n and n-n-n correlators. For strongly interacting lattice gases, we find that the n-n correlator $C_1$ decays as a power-law at long times, $C_1\propto 1/t^α$, in stark contrast with the exponential decay expected for independent particles. The power-law decay reflects a non-trivial dissipative many-body dynamics, where interactions change drastically the interplay between fluorescence destroying spatial coherence, and coherent tunnelling between neighboring sites restoring spatial coherence at short distances. The observed decay exponent $α\approx 0.54(6) $ is in good agreement with the prediction $α=1/2$ from a dissipative Bose-Hubbard model accounting for the fluorescence-induced decoherence. Furthermore, we find that the n-n correlator $C_1$ controls the n-n-n correlator $C_2$ through the relation $C_2 \approx C_1^2$, also in accordance with the dissipative Bose-Hubbard model. |
| title | Dynamics of spatial phase coherence in a dissipative Bose-Hubbard atomic system |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2405.03226 |