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6. February 2018 14:00

Ultracold fermions away from balanced systems

Lukas Rammelmüller
Technische Universität Darmstadt

A wide range of stochastic methods has been applied to approach the non-relativistic fermionic many-body problem. Despite the huge success of these approaches, the sign problem prohibits exploration of a large class of systems due to exponential scaling of computational effort. Recently the complex Langevin method, known from relativistic lattice models, was adapted to non-relativistic theories. With this method at hand, we are able to extract properties for spin-polarized Fermi mixtures of arbitrary masses in the ground state as well as at finite temperature. More specifically, we are able to compute equations of state for Fermi mixtures of arbitrary mass and polarization as a function of interaction strength in one, two and three spatial dimensions. Additionally, we discuss pairing correlations in spin-polarized Fermi gases, ultimately aiming at a detection of the formation of an inhomogeneous superfluid condensate.