Quantum spiral spin-tensor magnetism

Abstract

The characterization of quantum magnetism in a large spin (≥ 1) system naturally involves both spin-vectors and -tensors. While certain types of spin-vector (e.g., ferromagnetic, spiral) and spintensor (e.g., nematic in frustrated lattices) orders have been investigated separately, the coexistence and correlation between them have not been well explored. Here we propose and characterize a novel quantum spiral spin-tensor order on a spin-1 Heisenberg chain subject to a spiral spin-tensor Zeeman field, which can be experimentally realized using a Raman-dressed cold atom optical lattice. Through numerical density-matrix renormalization group (DMRG) simulation, we obtain the phase diagram and characterize the coexistence of spin-vector and spin-tensor orders as well as their correlations. Our results may open an avenue for exploring novel magnetic orders and spin-tensor electronics/atomtronics in large-spin systems.

Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension

“…One can also view the SOC induced "hopping" between different hyperfine states as a "synthetic dimension" that carry topological edge currents in the superfluid regime [10,25,[32][33][34][35][36], which has also been explored in 1D ladder models [37][38][39][40][41]. In the strongly correlated regime [42,43], the SOC spin-1 Bose-Hubbard model at the odd integer filled Mott lobes can be mapped to an insulating quantum spin-1 magnet in a helical magnetic field which tunes a quantum phase transition [44,45]. However, on the other hand, the strongly correlated superfluid regime of dilute bosons in 1D in the presence of a SOC has not yet received much attention, despite the potentially rich magnetic phenomena due to the spin-1 nature of the problem, which extends beyond the spin-1/2 case [32,46].…”