Coulomb interaction-driven entanglement of electrons on helium
Coulomb interaction-driven entanglement of electrons on helium
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发表时间：
2023-10
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通讯作者：
N. Beysengulov;Johannes Pollanen;O. S. Schoyen;Stian D. Bilek;J. B. Flaten;Oskar Leinonen;Haakon Emil K
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作者：
N. Beysengulov;Johannes Pollanen;O. S. Schoyen;Stian D. Bilek;J. B. Flaten;Oskar Leinonen;Haakon Emil K
量子多体系统中纠缠的产生和演化是一个活跃的研究领域，涉及多个领域，从量子信息科学到凝聚态物质、亚原子物理和量子化学中遇到的量子多体系统的模拟。受到最近探索电子被困在低温惰性气体基底表面上方的量子信息处理系统的实验的启发，我们从理论上研究了两个电子之间通过非屏蔽库仑相互作用产生的\emph{运动}纠缠。该模型系统由限制在单独的静电陷阱中的两个电子组成，这两个电子建立了其运动的微波频率量子化状态。我们通过相对于单粒子哈特里积基对模型哈密顿量进行对角化来计算电子的运动能谱及其纠缠。该计算过程又可用于设备设计和实验实施的指导。特别是，这里开发的理论工具可用于在未来的超流氦或固体氖表面上方捕获电子的实验中对控制参数进行微调和优化。
The generation and evolution of entanglement in quantum many-body systems is an active area of research that spans multiple fields, from quantum information science to the simulation of quantum many-body systems encountered in condensed matter, subatomic physics, and quantum chemistry. Motivated by recent experiments exploring quantum information processing systems with electrons trapped above the surface of cryogenic noble gas substrates, we theoretically investigate the generation of \emph{motional} entanglement between two electrons via their unscreened Coulomb interaction. The model system consists of two electrons confined in separate electrostatic traps which establish microwave frequency quantized states of their motion. We compute the motional energy spectra of the electrons, as well as their entanglement, by diagonalizing the model Hamiltonian with respect to a single-particle Hartree product basis. This computational procedure can in turn be employed for device design and guidance of experimental implementations. In particular, the theoretical tools developed here can be used for fine tuning and optimization of control parameters in future experiments with electrons trapped above the surface of superfluid helium or solid neon.