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arXiv · 2206.14979

Logarithmic quantum time crystal

Haipeng Xue·Lingchii Kong·Biao Wu
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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~logN. 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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Haipeng Xue, Lingchii Kong, Biao Wu. 2022-07-20. Logarithmic quantum time crystal. https://doi.org/10.1088/0256-307x%2F39%2F8%2F080501

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