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The Quantum-Mechanical Model of an Atom02:45

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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在哈伯德量子模拟器中出现的双极量子固体

Lin Su1, Alexander Douglas2, Michal Szurek2

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研究人员使用超冷的磁性原子在密切相关的晶格系统中创建新的量子相. 他们通过调整远程相互作用观察到量子相转换成双极量子固体,从而实现了新的量子模拟.

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科学领域:

  • 量子模拟
  • 凝聚物质物理
  • 超冷的原子气体

背景情况:

  • 量子多体系统中的远程和异构相互作用驱动复杂的空间结构和量子丧.
  • 在晶格系统的量子模拟中实现这种相互作用是一个重大挑战.
  • 目前的研究探索各种平台,如极性分子,瑞德伯格原子和光学空洞来模拟这些系统.

研究的目的:

  • 在具有长距离双极相互作用的强相关格子系统中实现新的量子相.
  • 探索由可调节的二极相互作用驱动的量子相变.
  • 调查条纹有序状态和超稳定阶段的出现.

主要方法:

  • 在光学网格中使用超冷磁性原子.
  • 调整二极相互作用成为主导的能量尺度.
  • 使用量子气体显微镜与协奏曲格子进行直接检测.
  • 通过定向原子二极体来控制相互作用的异构性.

主要成果:

  • 从超流体到双极量子固体观察到的量子相变.
  • 通过控制交互异性,实现了各种条纹有序状态.
  • 通过非adiabatic转换检测出转移稳定的条纹秩序状态.
  • 在可调节的远程交互系统中创建新的量子相.

结论:

  • 在光学网格中使用远程二极相互作用可以实现新的强相关量子相.
  • 这种方法为具有远程和异构相互作用的模型的量子模拟开辟了新的途径.
  • 控制相互作用和异构性的能力为探索复杂的量子现象提供了强大的工具.