We examine the effect of the trapping potential on the critical temperature ${T}_{C}$ for the BCS transition to a superfluid state in trapped atomic gases of fermions. ${T}_{C}$ for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps, ${T}_{C}$ can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.We examine the effect of the trapping potential on the critical temperature ${T}_{C}$ for the BCS transition to a superfluid state in trapped atomic gases of fermions. ${T}_{C}$ for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps, ${T}_{C}$ can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.

arXiv:cond-mat/0111548Physical Review AJun 14, 200210 citations

Trapped Fermi Gases

WORLD SCIENTIFIC eBooksDec 1, 20060 citations

Bose-Einstein Condensation in Dilute Gases

C. J. Pethick, H. Smith

Since an atomic Bose-Einstein condensate, predicted by Einstein in 1925, was first produced in the laboratory in 1995, the study of ultracold Bose and Fermi gases has become one of the most active areas in contemporary physics. This book explains phenomena in ultracold gases from basic principles, without assuming a detailed knowledge of atomic, condensed matter, and nuclear physics. This new edition has been revised and updated, and includes new chapters on optical lattices, low dimensions, and strongly-interacting Fermi systems. This book provides a unified introduction to the physics of ultracold atomic Bose and Fermi gases for advanced undergraduate and graduate students, as well as experimentalists and theorists. Chapters cover the statistical physics of trapped gases, atomic properties, cooling and trapping atoms, interatomic interactions, structure of trapped condensates, collective modes, rotating condensates, superfluidity, interference phenomena, and trapped Fermi gases. Problems are included at the end of each chapter.Since an atomic Bose-Einstein condensate, predicted by Einstein in 1925, was first produced in the laboratory in 1995, the study of ultracold Bose and Fermi gases has become one of the most active areas in contemporary physics. This book explains phenomena in ultracold gases from basic principles, without assuming a detailed knowledge of atomic, condensed matter, and nuclear physics. This new edition has been revised and updated, and includes new chapters on optical lattices, low dimensions, and strongly-interacting Fermi systems. This book provides a unified introduction to the physics of ultracold atomic Bose and Fermi gases for advanced undergraduate and graduate students, as well as experimentalists and theorists. Chapters cover the statistical physics of trapped gases, atomic properties, cooling and trapping atoms, interatomic interactions, structure of trapped condensates, collective modes, rotating condensates, superfluidity, interference phenomena, and trapped Fermi gases. Problems are included at the end of each chapter.

Nov 1, 20011 citation

Optically Trapped Fermi Gases

John E. Thomas, Michael E. Gehm

American ScientistJan 1, 200422 citations

We examine the effect of the trapping potential on the critical temperature

{T}_{C}

for the BCS transition to a superfluid state in trapped atomic gases of fermions.

{T}_{C}

for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps,

{T}_{C}

can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.