Two-site anyonic Josephson junction

Abstract

Anyons are particles with intermediate quantum statistics whose wavefunction acquires a phase e iθ by particle exchange. Inspired by proposals of simulating anyons using ultracold atoms trapped in optical lattices, we study a two-site anyonic Josephson junction, i.e. anyons confined in a onedimensional double-well potential. We show, analytically and numerically, that many properties of anyonic Josephson junctions, such as Josephson frequency, imbalanced solutions, macroscopic quantum self-trapping, coherence visibility, and condensate fraction, crucially depend on the anyonic angle θ. Our theoretical predictions are a solid benchmark for near future experimental quantum simulations of anyonic matter in double-well potentials.

Spatial structure of a Bose–Einstein condensate in a combined trap*

“…It is precisely because of the presence of nonlinear many-body interactions that BECs exhibit rich and important dynamical properties. The most important dynamical properties of BECs include chaos [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], soliton [22][23][24][25][26][27][28][29][30], Josephson oscillation [5][6][7][31][32][33][34][35][36][37], phase transition [38][39][40][41][42][43] and macroscopic quantum self-trapping [44][45][46][47][48][49][50]…”