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Logarithmic Quantum Time Crystal |
| Haipeng Xue1†, Lingchii Kong1†, and Biao Wu1,2,3* |
1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
2Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
3Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
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| Cite this article: |
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Haipeng Xue, Lingchii Kong, and Biao Wu 2022 Chin. Phys. Lett. 39 080501 |
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Abstract We investigate a time-independent many-boson system, whose ground states are quasi-degenerate and become infinitely degenerate in the thermodynamic limit. Out of these quasi-degenerate ground states we construct a quantum state that evolves in time with a period that is logarithmically proportional to the number of particles, that is, $T\sim \log N$. This boson system in such a state is a quantum time crystal as it approaches the ground state in the thermodynamic limit. The logarithmic dependence of its period on the total particle number $N$ makes it observable experimentally even for systems with very large number of particles. Possible experimental proposals are discussed.
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Received: 01 May 2022
Editors' Suggestion
Published: 07 July 2022
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| PACS: |
05.30.Jp
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(Boson systems)
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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67.10.Ba
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(Boson degeneracy)
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67.85.Jk
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(Other Bose-Einstein condensation phenomena)
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