Diffusive Propagation of Wave Packets in a Fluctuating Periodic Potential

作者：Hamza Eman^*; Kang Yang; Schenker Jeffrey

来源：Letters in Mathematical Physics, 2011, 95(1): 53-66.

DOI：10.1007/s11005-010-0436-y

• Schrodinger equation
• random Schrodinger equation
• Markov process
• diffusion
• quantum Brownian motion

We consider the evolution of a tight binding wave packet propagating in a fluctuating periodic potential. If the fluctuations stem from a stationary Markov process satisfying certain technical criteria, we show that the square amplitude of the wave packet after diffusive rescaling converges to a superposition of solutions of a heat equation.

• 出版日期2011-1