Understanding fundamentals of few-body physics provides an interesting bottom-up approach for the clarification of many-body properties. The remarkable experimental progress in realizing spin-orbit coupling (SOC) in optical Raman lattices offers a renewed thrust towards discovering novel few-body features induced by the interplay between SOC and optical lattices. Using the Wilson renormalization method to account for high-band effects, we study the low-energy two-body scattering processes of spin- $1/2$ fermions in spin-orbit-coupled optical lattices. We demonstrate that, under weak SOC, adding a small lattice potential would destabilize shallow two-body bound states, contrary to conventional wisdom. On the other hand, when the lattice is sufficiently deep, two-body bound states are always stabilized by increasing the lattice depth. This intriguing nonmonotonic behavior of the bound-state stability derives from the competition between SOC and optical lattices and can be explained by analyzing the low-energy density of states. We also discuss the impact of high-band effects on such a behavior, as well as potential experimental detection.Understanding fundamentals of few-body physics provides an interesting bottom-up approach for the clarification of many-body properties. The remarkable experimental progress in realizing spin-orbit coupling (SOC) in optical Raman lattices offers a renewed thrust towards discovering novel few-body features induced by the interplay between SOC and optical lattices. Using the Wilson renormalization method to account for high-band effects, we study the low-energy two-body scattering processes of spin-$1/2$ fermions in spin-orbit-coupled optical lattices. We demonstrate that, under weak SOC, adding a small lattice potential would destabilize shallow two-body bound states, contrary to conventional wisdom. On the other hand, when the lattice is sufficiently deep, two-body bound states are always stabilized by increasing the lattice depth. This intriguing nonmonotonic behavior of the bound-state stability derives from the competition between SOC and optical lattices and can be explained by analyzing the low-energy density of states. We also discuss the impact of high-band effects on such a behavior, as well as potential experimental detection.

arXiv:1806.02478Physical Review AJan 7, 20194 citations

Two-particle bound states on a lattice

P. E. Kornilovitch

arXiv:2305.02548Annals of PhysicsDec 14, 20239 citations

Large Trimers from Three-Body Interactions in One-Dimensional Lattices

Arthur Christianen, John Sous

Few-body bound states have been extensively explored in cold atomic gases with a desire to realize large molecular complexes. Here, we investigate the formation of trimers in an infinite one-dimensional lattice with hard-core two- and three-body interactions of relevance to Rydberg atoms and polar molecules in optical lattices, and other physical systems such as the fractional Hall states. We determine the stability regions for attractively and repulsively bound trimers. We discover a regime of large spatially extended trimers that are stabilized by the interplay of attractive two-body, $U$ , and repulsive three-body, $V$ , interactions and persist despite extremely large $V$ . These bound states present a new direction in the search for large few-body complexes in cold atoms.Few-body bound states have been extensively explored in cold atomic gases with a desire to realize large molecular complexes. Here, we investigate the formation of trimers in an infinite one-dimensional lattice with hard-core two- and three-body interactions of relevance to Rydberg atoms and polar molecules in optical lattices, and other physical systems such as the fractional Hall states. We determine the stability regions for attractively and repulsively bound trimers. We discover a regime of large spatially extended trimers that are stabilized by the interplay of attractive two-body, $U$ , and repulsive three-body, $V$ , interactions and persist despite extremely large $V$. These bound states present a new direction in the search for large few-body complexes in cold atoms.

Jun 27, 20180 citations

Few-Body Bound States on a Three-Dimensional and Two-Dimensional Lattice and Continuum Limit for One-Dimensional Many-Body System.

S. Rudin

Jan 1, 19840 citations

1/2

fermions in spin-orbit-coupled optical lattices. We demonstrate that, under weak SOC, adding a small lattice potential would destabilize shallow two-body bound states, contrary to conventional wisdom. On the other hand, when the lattice is sufficiently deep, two-body bound states are always stabilized by increasing the lattice depth. This intriguing nonmonotonic behavior of the bound-state stability derives from the competition between SOC and optical lattices and can be explained by analyzing the low-energy density of states. We also discuss the impact of high-band effects on such a behavior, as well as potential experimental detection.

U

, and repulsive three-body,

V

, interactions and persist despite extremely large

V

. These bound states present a new direction in the search for large few-body complexes in cold atoms.