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Confining stationary light: dirac dynamics and klein tunneling.

J Otterbach¹, R G Unanyan, M Fleischhauer

¹Department of Physics and Research Center OPTIMAS, Technische Universität Kaiserslautern, 67663, Kaiserslautern, Germany.

Physical Review Letters

|March 5, 2009

Summary

This summary is machine-generated.

We explore light pulses in atomic ensembles, finding that tight confinement leads to relativistic effects. This allows for the observation of quantum phenomena on macroscopic scales.

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Area of Science:

Quantum optics
Atomic physics
Condensed matter physics

Background:

Electromagnetically induced transparency (EIT) enables unique light-matter interactions.
Stationary pulses of light exhibit intriguing properties under spatial confinement.
Relativistic effects typically manifest at high energies and small scales.

Purpose of the Study:

To investigate the behavior of one-dimensional stationary light pulses in atomic ensembles with EIT under tight spatial confinement.
To explore the emergence of relativistic phenomena in this system.
To determine the conditions for observing these effects on macroscopic length scales.

Main Methods:

Theoretical analysis of light propagation in a two-component atomic medium.
Application of the one-dimensional two-component Dirac equation with effective mass and speed of light.
Investigation of Klein tunneling and its implications for spatial confinement.

Main Results:

Under tight confinement, light pulses are described by a two-component Dirac equation.
Effective mass (m*) and speed of light (c*) can be externally controlled.
Klein tunneling imposes a fundamental lower limit on spatial width, the effective Compton length (λC).

Conclusions:

The system exhibits relativistic dispersion relations for low energies.
Externally controllable parameters allow for macroscopic observation of relativistic effects.
This work opens possibilities for studying relativistic quantum phenomena in accessible experimental settings.