摘要
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~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.
作者
Haipeng Xue
Lingchii Kong
Biao Wu
薛海鹏;孔令琦;吴飙(International Center for Quantum Materials,School of Physics,Peking University,Beijing 100871,China;Wilczek Quantum Center,School of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China;Collaborative Innovation Center of Quantum Matter,Beijing 100871,China)
基金
supported by the National Key R&D Program of China(Grant Nos.2017YFA0303302 and 2018YFA0305602)
the National Natural Science Foundation of China(Grant No.11921005)
Shanghai Municipal Science and Technology Major Project(Grant No.2019SHZDZX01)。