On the Chemical Potentials in Cold Heterogeneous Mixed Phases

TL;DR

This paper investigates the relationships among chemical potentials in cold, asymmetric fermionic mixed phases, providing a framework to estimate the BCS gap in optical atomic traps, enhancing understanding of quantum phase behavior.

Contribution

It introduces a method to relate chemical potentials to mixed phase energy parameters and proposes a new way to estimate the BCS gap experimentally.

Findings

Derived expressions for chemical potentials in mixed phases

Proposed a novel estimation method for the BCS gap

Enhanced understanding of thermodynamical equilibrium in fermionic systems

Abstract

We study the relations among the chemical potentials of paired and unpaired particles in a cold asymmetrical fermionic mixed phase in thermodynamical equilibrium. We show how the chemical potentials are expressed in terms of the parameters of the mixed phase energy. We propose a way of estimating the value of the BCS gap in optical atomic traps experiments.