Time Crystal Platform: From Quasicrystal Structures in Time to Systems with Exotic Interactions

Area of Science:

• Quantum physics
• Condensed matter physics
• Quantum many-body systems

Background:

• Time crystals are quantum systems that spontaneously exhibit periodic motion in time.
• Spatial crystals are studied using periodic potentials; time crystals can be studied using periodic driving.
• Condensed matter problems often involve complex interactions and structures.

Purpose of the Study:

• To demonstrate the realization of condensed matter problems in the time domain using periodic driving.
• To explore the creation of novel molecular structures through time-modulated interactions.
• To establish a framework for studying quantum many-body systems in the time domain.

Main Methods:

• Applying periodic driving to quantum systems to simulate spatial potentials.
• Investigating single particles in quasicrystal potentials within the time domain.
• Exploring many-body systems with exotic long-range interactions via periodic driving.
• Modulating atomic scattering length in time to induce molecular binding through destructive interference.

Main Results:

• Successfully realized condensed matter problems, including single particles in quasicrystal potentials, in the time domain.
• Demonstrated the creation of molecules bound by destructive interference via time-modulated atomic scattering length.
• Established periodic driving as a versatile tool for simulating diverse condensed matter phenomena.

Conclusions:

• Periodic driving provides a powerful method to realize and study complex condensed matter systems and phenomena in the time domain.
• This approach opens new avenues for creating novel quantum states and molecular structures.
• The study highlights the deep analogy between spatial and temporal organization in quantum systems.