Energy-space random walk in a driven disordered Bose gas
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, $E \propto t^{\eta }$ with $\eta =0.46(2)$, and compressed-exponential momentum distributions that show dynamic scaling, we perform systematic numeri...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-02-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.168/ |
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| author | Zhang, Yansheng Martirosyan, Gevorg Ho, Christopher Junhong Etrych, Jiří Eigen, Christoph Hadzibabic, Zoran |
| author_facet | Zhang, Yansheng Martirosyan, Gevorg Ho, Christopher Junhong Etrych, Jiří Eigen, Christoph Hadzibabic, Zoran |
| author_sort | Zhang, Yansheng |
| collection | DOAJ |
| description | 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, $E \propto t^{\eta }$ with $\eta =0.46(2)$, 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 $\eta \approx 0.5$ to $\eta \approx 0.4$ 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 | Article |
| id | doaj-art-a25028f9c79d40279b82f19264a6b735 |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj-art-a25028f9c79d40279b82f19264a6b7352025-02-07T13:53:11ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-02-0124S315317110.5802/crphys.16810.5802/crphys.168Energy-space random walk in a driven disordered Bose gasZhang, Yansheng0https://orcid.org/0000-0002-1805-749XMartirosyan, Gevorg1https://orcid.org/0000-0003-2956-2114Ho, Christopher Junhong2https://orcid.org/0000-0002-8990-8159Etrych, Jiří3https://orcid.org/0000-0002-1007-1860Eigen, Christoph4https://orcid.org/0000-0001-5298-7482Hadzibabic, Zoran5https://orcid.org/0000-0002-0118-9285Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, UKCavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, UKCavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, UKCavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, UKCavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, UKCavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, UKMotivated 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, $E \propto t^{\eta }$ with $\eta =0.46(2)$, 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 $\eta \approx 0.5$ to $\eta \approx 0.4$ 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.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.168/Ultracold atomsDisordered systemDynamic scalingContinuous-time random walkChaos |
| spellingShingle | Zhang, Yansheng Martirosyan, Gevorg Ho, Christopher Junhong Etrych, Jiří Eigen, Christoph Hadzibabic, Zoran Energy-space random walk in a driven disordered Bose gas Comptes Rendus. Physique Ultracold atoms Disordered system Dynamic scaling Continuous-time random walk Chaos |
| title | Energy-space random walk in a driven disordered Bose gas |
| title_full | Energy-space random walk in a driven disordered Bose gas |
| title_fullStr | Energy-space random walk in a driven disordered Bose gas |
| title_full_unstemmed | Energy-space random walk in a driven disordered Bose gas |
| title_short | Energy-space random walk in a driven disordered Bose gas |
| title_sort | energy space random walk in a driven disordered bose gas |
| topic | Ultracold atoms Disordered system Dynamic scaling Continuous-time random walk Chaos |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.168/ |
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