Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions

Details Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions

2011-11-09

arxiv.org/abs/1111.2340v2

Phys. Rev. A 85, 023626 (2012)

Physics

Condensed Matter

Quantum Gases

12 pages, 8 figures; Fig. 1 fixed

Scientific paper

We study interacting Rashba-Dresselhaus fermions in two spatial dimensions. First, we present a new exact solution to the two-particle pairing problem of spin-orbit-coupled fermions for arbitrary Rashba and Dresselhaus spin-orbit interactions. An exact molecular wave function and the Green function are explicitly derived along with the binding energy and the spectrum of the molecular state. In the second part, we consider a thermal Boltzmann gas of fermionic molecules and compute the time-of-flight velocity and spin distributions for a single fermion in the gas. We show that the pairing signatures can be observed already in the first-moment expectation values, such as time-of-flight density and spin profiles.

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