Tunneling Time of Bose-Einstein Condensates on Real Time Stochastic Approach

TL;DR

This paper investigates the tunneling time of Bose-Einstein condensates using a real-time stochastic approach, revealing how interaction strength influences tunneling dynamics and related temporal properties.

Contribution

It introduces a novel analysis of BEC tunneling times considering interatomic interactions and provides insights into their dependence on potential and interaction strength.

Findings

Tunneling time decreases with stronger repulsive interactions.

Tunneling time remains nearly constant at high interaction strengths regardless of potential height.

Large displacement observed in the mean arrival time of BEC wave packets.

Abstract

We study tunneling processes of Bose-Einstein condensate (BEC) on the real time stochastic approach and reveal some properties of their tunneling time. An important result is that the tunneling time decreases as the repulsive interatomic interaction becomes stronger. Furthermore, the tunneling time in a strong interaction region is not much affected by the potential height and is represented by an almost constant function. We also obtain the other related times such as the hesitating and interaction ones and investigate their dependence on the interaction strength. Finally, we calculate the mean arrival time of BEC wave packet and show the large displacement of its peak position.