Few strongly interacting ultracold fermions in one-dimensional traps of different shapes

Abstract

The ground-state properties of a few spin-1/2 fermions with different masses and interacting via short-range contact forces are studied within an exact diagonalization approach. It is shown that, depending on the shape of the external confinement, different scenarios of the spatial separation between components manifested by specific shapes of the density profiles can be obtained in the strong interaction limit. We find that the ground-state of the system undergoes a specific transition between orderings when the confinement is changed adiabatically from a uniform box to a harmonic oscillator shape. We study the properties of this transition in the framework of the finite-size scaling method adopted to few-body systems.

Geometry-induced entanglement in a mass-imbalanced few-fermion system

“…Contrary, in the case of flat box potential, lighter particles remain in the center while the heavier component is separated. Consequently, by an adiabatic change of the shape one observes the transition between different spatial orderings which are nicely manifested by a rapid change of the second moment of the magnetization, M(x) = n A (x)−n B (x) [22]. It was shown, that the transition becomes more rapid when interaction strength is enhanced.…”

“…modynamic limit is mimicked by the limit of infinite interactions rather than the size of the system. All details of this analogy are explained in [22].…”

Experimentally Accessible Invariants Encoded in Interparticle Correlations of Harmonically Trapped Ultra-cold Few-Fermion Mixtures

“…For example, totally antisymmetric states do not exist in the mass-imbalanced case. This is a direct consequence of different shapes of the single-particle orbitals (for more details see [42,43]). …”

Quantum correlations in one-dimensional Wigner molecules

“…In particular, the study of the manybody properties of various quantum composite systems is nowadays one of the most active areas of theoretical physics [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23]. Investigating quantum correlations in systems of interacting particles trapped in external potentials is not only important in view of the context of quantum information technology [24] but also a key to improving our understanding of quantum matter.…”