Chiral spin textures of strongly interacting particles in quantum dots

Abstract

We probe for statistical and Coulomb induced spin textures among the low-lying states of repulsively-interacting particles confined to potentials that are both rotationally and time-reversal invariant. In particular, we focus on two-dimensional quantum dots and employ configurationinteraction techniques to directly compute the correlated many-body eigenstates of the system. We produce spatial maps of the single-particle charge and spin density and verify the annular structure of the charge density and the rotational invariance of the spin field. We further compute two-point spin correlations to determine the correlated structure of a single component of the spin vector field. In addition, we compute three-point spin correlation functions to uncover chiral structures. We present evidence for both chiral and quasi-topological spin textures within energetically degenerate subspaces in the three-and four-particle system. PACS numbers: 73.21. La, 03.65.Vf

Chiral spin currents and spectroscopically accessible single merons in quantum dots

“…These spin textures are plotted using the real-space wave functions of the 2D harmonic trap. 22 Previous work [14][15][16] has focused on lowest-Landau-level physics or on semiclassical approximations. The present numerically exact results show that merons can exist far beyond the semiclassical regime; right down to the extreme quantum limit of very few confined particles where correlations are strongest.…”

“…2. These spin textures are plotted using the real-space wave functions of the 2D harmonic trap 22 . Previous work [14][15][16] has focused on lowest-Landau-level physics or on semiclassical approximations.…”

Geometric representation of spin correlations and applications to ultracold systems

“…They determine the distribution of galaxies in cosmology [1], reveal complex structure of molecules and proteins in chemistry and biology [2,3], are invaluable in quantum sensing and computing in the form of quantum entanglement [4][5][6][7][8][9][10], and are used to test fundamental predictions of QCD about entangled quark pairs [11,12]. In particular, correlations are of fundamental interest in many-body physics as they characterize phases in condensed matter [13][14][15] and in ultracold matter [16][17][18][19][20][21][22][23].…”