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Standing Waves in a Cavity

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Fermionic superradiance in a transversely pumped optical cavity.

J Keeling¹, M J Bhaseen², B D Simons³

¹SUPA, School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, United Kingdom.

Physical Review Letters

|April 29, 2014

Summary

This summary is machine-generated.

Ultracold fermions in a cavity exhibit a superradiant phase transition, unlike bosons, due to Pauli blocking effects influencing self-organization and leading to unique lattice commensuration phenomena.

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Area of Science:

Quantum optics
Condensed matter physics
Ultracold atomic gases

Background:

Dicke superradiance has been experimentally realized in Bose gases coupled to cavity light fields.
Investigating ultracold fermions in similar setups presents new avenues for quantum phenomena research.

Purpose of the Study:

To investigate the equilibrium phase diagram of spinless fermions coupled to a single cavity mode.
To establish the conditions for a zero-temperature transition to a superradiant state in fermionic systems.

Main Methods:

Theoretical investigation of spinless fermions in a transversely pumped optical cavity.
Analysis of the equilibrium phase diagram at zero temperature.
Examination of the role of Pauli blocking and lattice commensuration effects.

Main Results:

A zero-temperature phase transition to a superradiant state was established for ultracold fermions.
Pauli blocking induces lattice commensuration effects, influencing self-organization within the cavity light field.
A sequence of discontinuous transitions and tricritical superradiance phenomena were observed with increasing atomic density.

Conclusions:

Fermionic systems exhibit distinct superradiant behaviors compared to bosonic systems due to Pauli blocking.
Lattice commensuration effects play a crucial role in the self-organization of fermions in optical cavities.
The findings provide insights into the experimental realization of fermionic superradiance and related quantum phenomena.