Off-site trimer superfluid on a one-dimensional optical lattice

Abstract

The Bose-Hubbard model with an effective off-site three-body tunneling, characterized by jumps towards one another, between one atom on a site and a pair atoms on the neighborhood site, is studied systematically on a one-dimensional lattice, by using the density matrix renormalization group method. The off-site trimer superfluid, condensing at momentum k = 0, emerges in the softcore Bose-Hubbard model but it disappears in the hardcore Bose-Hubbard model. Our results numerically verify that the off-site trimer superfluid phase derived in the momentum space from [Phys. Rev. A 81, 011601(R) (2010)] is stable in the thermodynamic limit. The off-site trimer superfluid phase, the partially off-site trimer superfluid phase and the Mott insulator phase are found, as well as interesting phase transitions, such as the continuous or first-order phase transition from the trimer superfluid phase to the Mott insulator phase. Our results are helpful in realizing this novel off-site trimer superfluid phase by cold atom experiments.

Kinetic formation of trimers in a spinless fermionic chain

“…With the versatility of cold-atom platforms in terms of internal degrees of freedom and interactions, many proposals for trimers formation arose in the quantum matter literature, using spin balanced [12][13][14][15][16][17][18][19][20] or spinimbalanced fermionic mixtures [21][22][23], or fermions with different masses [24][25][26]. Signatures of bosonic trimers have also been discussed both in one [27][28][29][30] and two dimensions [31][32][33].…”