Oscillation of Pauli Paramagnetism in Rotating Two-Component Fermionic Atom Gases

By rotating two-component fermionic atom gases in uniform magnetic field, a similar physical situation with de Haas-van Alphen effect is constructed. We calculate magnetic moment of the system and find that owing to an existence of effective magnetic field coming from the rotation, the magnetic moment also shows the oscillatory behavior about magnetic field, but it is completely different from the famous oscillation of de Haas-van Alphen effect. This distinction is due to that in the atomic gases the orbital motion of atom only couples to rotation and does not contribute to magnetic moment in the light of atomic charge neutrality. PACS number(s): 03.75.Ss, 05.30.Fk, 32.10.Dk Ultracold fermionic quantum gases are versatile and robust systems for probing fundamental condensed-matter physics problems owing to their highly controllability and operability [1, 2, 3, 4]. What happens to an s-wave BCS superfluid when the numbers of up and down spin become unequal? This is a 40-year-old problem which remains unresolved today. However by controlling the particle number of different spin species, experiments [5, 6] in atomic Fermi gases are beginning to yield information and have provided access to the exotic superfluid phases such as breached-paired phase [7, 8], phase separation [9, 10] and FludeFarrel-Larkin-Ovchinikov phase [11, 12]. By overlapping some pairs of counter-propagating ∗Corresponding author. Electronic address: [email protected]