Quantum walk of two interacting bosons with mass imbalance
Mrinal Kanti Giri, Suman Mondal, Tapan Mishra · arXiv (Cornell University) · 2020
We investigate the quantum walk of two interacting bosons of different mass in a one dimensional lattice. By varying the inter-particle interaction strength we show distinct features in the quantum walk of two particles for different initial states. When the walkers are initially on the same site, both the heavy and light particles perform independent particle quantum walks for small interaction. However, stronger interactions lead to the quantum walk of the repulsively bound pair of atoms. For a different initial state when the walkers are a few sites apart initially, the heavy particle performs quantum walk almost independently and the light particle shows reflected and transmitted components across the heavy particle for small interactions. After a critical interaction strength, the light particle wave function ceases to penetrate through the heavy particle. However, when the quantum walkers are initially kept at the edges of the lattice, then the interaction facilitates the complete reflection of both heavy and light particles from each other. We analyze these features by examining various physical quantities such as the real-space density evolution, two-particle correlation functions, and Bloch oscillation.