Energy-space random walk in a driven disordered Bose gas
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929253866536960 |
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| author | Zhang, Yansheng Martirosyan, Gevorg Ho, Christopher J. Etrych, Jiří Eigen, Christoph Hadzibabic, Zoran |
| author_facet | Zhang, Yansheng Martirosyan, Gevorg Ho, Christopher J. Etrych, Jiří Eigen, Christoph Hadzibabic, Zoran |
| contents | Motivated by the experimental observation [1] that driving a non-interacting Bose gas in a 3D box with weak disorder leads to power-law energy growth, $E \propto t^η$ with $η=0.46(2)$, and compressed-exponential momentum distributions that show dynamic scaling, we perform systematic numerical and analytical studies of this system. Schrödinger-equation simulations reveal a crossover from $η\approx 0.5$ to $η\approx 0.4$ with increasing disorder strength, hinting at the existence of two different dynamical regimes. We present a semi-classical model that captures the simulation results and allows an understanding of the dynamics in terms of an energy-space random walk, from which a crossover from $E \propto t^{1/2}$ to $E \propto t^{2/5}$ scaling is analytically obtained. The two limits correspond to the random walk being limited by the rate of the elastic disorder-induced scattering or the rate at which the drive can change the system's energy. Our results provide the theoretical foundation for further experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12308 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Energy-space random walk in a driven disordered Bose gas Zhang, Yansheng Martirosyan, Gevorg Ho, Christopher J. Etrych, Jiří Eigen, Christoph Hadzibabic, Zoran Quantum Gases Disordered Systems and Neural Networks Chaotic Dynamics Atomic Physics Quantum Physics Motivated by the experimental observation [1] that driving a non-interacting Bose gas in a 3D box with weak disorder leads to power-law energy growth, $E \propto t^η$ with $η=0.46(2)$, and compressed-exponential momentum distributions that show dynamic scaling, we perform systematic numerical and analytical studies of this system. Schrödinger-equation simulations reveal a crossover from $η\approx 0.5$ to $η\approx 0.4$ with increasing disorder strength, hinting at the existence of two different dynamical regimes. We present a semi-classical model that captures the simulation results and allows an understanding of the dynamics in terms of an energy-space random walk, from which a crossover from $E \propto t^{1/2}$ to $E \propto t^{2/5}$ scaling is analytically obtained. The two limits correspond to the random walk being limited by the rate of the elastic disorder-induced scattering or the rate at which the drive can change the system's energy. Our results provide the theoretical foundation for further experiments. |
| title | Energy-space random walk in a driven disordered Bose gas |
| topic | Quantum Gases Disordered Systems and Neural Networks Chaotic Dynamics Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2309.12308 |