Three-body interaction near a narrow two-body zero crossing

Abstract

We calculate the effective three-body force for bosons interacting with each other by a two-body potential tuned to a narrow zero crossing. We use the standard two-channel model parameterized by the background atom-atom interaction strength, the amplitude of the open-channel to closedchannel coupling, and the atom-dimer interaction strength. The three-body force originates from the atom-dimer interaction, but it can be dramatically enhanced for narrow crossings, i.e., for small atom-dimer conversion amplitudes. PACS numbers:arXiv:1907.02236v1 [cond-mat.quant-gas]

Efimov-like physics in fraction-dimensional Bose systems with three-body interaction

“…In the absence of contact term, the residual finite-range effects of the two-body interaction then leads to the effective three-body coupling between particles. A somewhat similar situation can be realized [11] in the two-channel model near a narrow two-body zero crossing in any spatial dimension.…”

“…In the following, we discuss the properties of bosons with the suppressed contact two-body interactions in fractional spatial dimensions between d = 1 and d = 2. Then, because of the effects of a finite potential range [10,11], the simplest interaction that survives is the three-body one. Therefore, the three-body (pseudo-) potential has to be taken contact-like Φ(r 1 , r 2 , r 3 ) = g 3,Λ δ(r 12 )δ(r 13 ) with a bare coupling g 3,Λ that depends on the ultraviolet (UV) cutoff Λ.…”

“…The many-body limit is thermodynamically stable only when the interaction between bosons is effectively repulsive. And there are a few ways discussed in the literature for the realization of this repulsion [10][11][12]. Particularly in Ref.…”

Quantum liquids and droplets with low-energy interactions in one dimension

“…Our first aim is to exactly simulate a one-dimensional many-body system of bosons with attractive two-body and repulsive three-body interactions in free space at zero temperature. Ideally, one could apply ground-state methods, such as ground state quantum Monte Carlo, to the low-energy Hamiltonian, given by [30,31,[33][34][35][36][37][38][39][40][41][42][43][44][45][46]]…”

“…is a numerical constant of no physical relevance, i.e., it is regularization-dependent. Hamiltonian (2) can then be used to simulate a continuum repulsive three-body force at low densities with a finite lattice spacing, provided that W/J > 0, i.e., for |Q * d| > exp(2 √ 3|β|) ≈ 8.4, corresponding to the weak to moderate coupling regime for the three-body interaction [30,31,[33][34][35][36][37][38][39][40][41][42][43][44][45][46].…”