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Related Experiment Video

Updated: May 14, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Quantum ripples over a semiclassical shock.

Eldad Bettelheim¹, Leonid Glazman

¹Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel.

Physical Review Letters

|February 2, 2013

Summary

Classical mechanics accurately models one-dimensional Fermi gas density evolution, forming shock waves. Quantum corrections create density ripples on these shock waves, with properties defined by classical physics.

Area of Science:

Condensed Matter Physics
Quantum Mechanics
Statistical Mechanics

Background:

Classical mechanics effectively describes the large-scale spatial density evolution in one-dimensional Fermi gases.
This classical evolution naturally leads to the formation of shock waves, characterized by sharp kinks in the density profile.

Purpose of the Study:

To investigate the impact of quantum corrections on the shock waves formed in one-dimensional Fermi gases.
To analyze the nature and characteristics of density ripples arising from these quantum corrections.

Main Methods:

Utilizing classical mechanics to model the initial density evolution and shock wave formation.
Introducing quantum corrections to the classical framework to study deviations.
Analyzing the resulting density ripples and their properties.

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Main Results:

Quantum corrections to the classical shock wave result in the formation of density ripples.
These ripples emerge from the kinks in the density profile.
The amplitude and period of the quantum-induced ripples are determined by classical quantities derived from the smooth density profile.

Conclusions:

Quantum effects introduce observable ripples on classically formed shock waves in Fermi gases.
The characteristics of these quantum phenomena are fundamentally linked to classical descriptions of the system.
This provides a bridge between quantum and classical descriptions in the context of density evolution.