Phase Conjugation of a Quantum-Degenerate Atomic Fermi Beam

TL;DR

This paper explores the theoretical possibility of creating a phase-conjugate mirror for an atomic Fermi gas, enabling time-reversed fermionic beams through nonlinear wave mixing, with potential applications in quantum optics and interferometry.

Contribution

It introduces the concept of phase conjugation for atomic Fermi fields and demonstrates how it can be achieved via nonlinear wave mixing in ultracold gases.

Findings

Time-reversed fermionic beams can be generated similarly to nonlinear optics.

Phase conjugation can be inferred by loss of interference in an atomic interferometer.

The study provides a theoretical framework for phase conjugation in quantum-degenerate Fermi gases.

Abstract

We discuss the possibility of phase-conjugation of an atomic Fermi field via nonlinear wave mixing in an ultracold gas. It is shown that for a beam of fermions incident on an atomic phase-conjugate mirror, a time reversed backward propagating fermionic beam is generated similar to the case in nonlinear optics. By adopting an operational definition of the phase, we show that it is possible to infer the presence of the phase-conjugate field by the loss of the interference pattern in an atomic interferometer.