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Quantum Numbers

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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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Compact Quantum Dots for Single-molecule Imaging

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Published on: October 9, 2012

Fluctuation-Induced Quantum Zeno Effect.

Heinrich Fröml¹, Alessio Chiocchetta¹, Corinna Kollath²

¹Institute for Theoretical Physics, University of Cologne, D-50937 Cologne, Germany.

Physical Review Letters

|February 16, 2019

Summary

This summary is machine-generated.

Localized loss in quantum gases exhibits the quantum Zeno effect. Novel many-body physics emerge from nonlinear quantum fluctuations, modifying transport properties and vanishing escape probabilities near the Fermi energy.

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Area of Science:

Quantum physics
Condensed matter physics
Many-body physics

Background:

Localized loss in quantum gases can exhibit the quantum Zeno effect.
This effect is typically understood through local, microscopic physics.
Novel many-body effects may arise when nonlinear, gapless quantum fluctuations are significant.

Purpose of the Study:

Investigate the impact of a local dissipative impurity on a 1D interacting fermion gas.
Explore the emergence of many-body effects beyond local physics.
Analyze modifications to transport properties and particle loss rates.

Main Methods:

Microscopic model of spinless fermions.
Luttinger liquid description.
Analysis of quantum fluctuations and dissipative impurity effects.

Main Results:

The escape probability for modes near the Fermi energy vanishes regardless of dissipation strength.
Transport properties across the impurity are qualitatively altered.
Emergence of novel many-body effects due to nonlinear quantum fluctuations.

Conclusions:

Nonlinear quantum fluctuations introduce significant many-body effects in systems with localized loss.
The Fermi energy modes exhibit unique behavior under dissipation.
The findings offer insights into quantum transport phenomena and the quantum Zeno effect in complex quantum systems.