Coherent Spatial Control of Wave Packet Dynamics on Quantum Lattices

Area of Science:

• Quantum physics
• Condensed matter physics
• Quantum information science

Background:

• Quantum lattices are fundamental to quantum materials and information science.
• Advanced experimental methods enable precise observation of wave packet dynamics.

Purpose of the Study:

• To analytically investigate wave packet diffusivity and diffusion length on quantum lattices with noise.
• To understand the impact of spatial coherence and initial state properties on quantum transport.

Main Methods:

• Analytical study of wave packet dynamics.
• Analysis of tight-binding quantum lattices under stochastic noise.
• Investigation of diffusivity and diffusion length for various initial states.

Main Results:

• Noise can enhance transient diffusivity and diffusion length for spatially extended states.
• High-momentum states spread faster than localized states, showing noise-induced diffusivity peaks.
• Differences in spread between extended and localized states exhibit universal dependence on initial width.

Conclusions:

• Spatial coherence is critical for wave packet dynamics on quantum lattices.
• Noise can be leveraged to control quantum transport phenomena.
• Findings have implications for designing quantum materials and advancing quantum technologies.