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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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Quantum and classical correlations in quantum Brownian motion.

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Summary
This summary is machine-generated.

Quantum entanglement between a system and its environment is not always created, depending on the initial state. However, pure Gaussian states always lead to immediate entanglement in quantum Brownian motion.

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Area of Science:

  • Quantum Information Theory
  • Quantum Thermodynamics
  • Condensed Matter Physics

Background:

  • The quantum Brownian motion model is crucial for understanding environment-induced superselection.
  • Investigating entanglement dynamics is key to quantum system-environment interactions.

Purpose of the Study:

  • To analyze entanglement generation in the quantum Brownian motion model.
  • To identify conditions under which entanglement is created or absent between a quantum system and its environment.

Main Methods:

  • Utilizing advanced quantum information theory techniques.
  • Analyzing the joint state of a quantum system and its environment.
  • Employing the quantum Brownian motion model framework.

Main Results:

  • A significant class of initial states prevents entanglement creation at all times.
  • Entanglement is immediately generated if the system starts in a pure Gaussian state.
  • Entanglement creation is independent of environmental temperature and coupling strength for pure Gaussian states.

Conclusions:

  • The initial state critically determines entanglement evolution in quantum Brownian motion.
  • Pure Gaussian initial states guarantee system-environment entanglement, irrespective of thermal or coupling effects.