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Modelling assisted tunneling on the Bloch sphere using the Quantum Composer
European Journal of Physics ( IF 0.7 ) Pub Date : 2023-12-29 , DOI: 10.1088/1361-6404/ad139a
Jonas Bley , Vieri Mattei , Simon Goorney , Jacob Sherson , Stefan Heusler

The Bloch sphere representation is a geometric model for all possible quantum states of a two-level system that can be used to describe the time dynamics of a qubit. As explicit application, we consider the time dynamics of a particle in a double-well potential. In particular, we adopt a recent method for off-resonant excitations, the so-called SUPER principle (Swing Up of the quantum emitter population) driven by periodic electromagnetic fields, to the context of quantum tunnelling. We show that the tunnelling probability can be enhanced significantly when an appropriate oscillation of the potential height is introduced. Driven by a collaborative approach we call educator-developer dialogue, an updated version of the software Quantum Composer is presented. For educational purposes, we map the two lowest energy states of the 1D-Schrödinger equation to the Bloch sphere representation, leading to a rather clear and intuitive physical picture for the pertinent time dynamics.

中文翻译:

使用 Quantum Composer 对布洛赫球体上的辅助隧道建模进行建模

布洛赫球体表示是二能级系统所有可能量子态的几何模型,可用于描述量子位的时间动态。作为显式应用,我们考虑双阱势中粒子的时间动力学。特别是,我们在量子隧道的背景下采用了一种最新的非共振激发方法,即由周期性电磁场驱动的所谓超级原理(量子发射器布居的摆动)。我们表明,当引入适当的势高度振荡时,可以显着提高隧道概率。由我们称之为的协作方法驱动教育者与发展者对话,推出了软件 Quantum Composer 的更新版本。出于教育目的,我们将一维薛定谔方程的两个最低能态映射到布洛赫球体表示,从而为相关时间动力学提供相当清晰直观的物理图像。
更新日期:2023-12-29
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