Logarithmic quantum time crystal

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.

6 pages,5 figures

References in corpus (6)

• Absence of Quantum Time Crystals
• Atom-Pair Tunneling and Quantum Phase Transition in Strong Interaction Regime
• Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
• Entropy for Quantum Pure States and Its Dynamical Relaxation
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• Can a bright soliton model reveal a genuine time crystal for a finite number of bosons?