Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Shanxi Normal University

Superfluid-Insulator Transition of ~7Li Atoms

Yongmei Zhang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

We study the quantum phases that may arise when 7Li atoms that possess an attractive two-body interaction are loaded into an optical lattice.The phase diagram that we have obtained for 7Li atoms within a mean-field approximation is composed of the superfluid and Mott-insulator phases as for bosonic atoms with a repulsive two-body interaction. We have found that the repulsive three-body interaction plays a vital role in stabilizing the quantum phases of 7Li atoms in an optical lattice.

Related papers

Mott-Insulator Phases of ~7Li Atoms in an Optical Lattice

Yongmei Zhang

The ground state energy and the average atom number per lattice site of 7Li atoms that are loaded into an optical lattice have been calculated when the repulsive three-body interaction is considered.We found the superfluid and Mott-insulator phases transformation of 7Li atoms with an attractive two-body interaction.

Journal of North University of China•Jan 1, 2007•0 citations

Three-body on-site interactions in ultracold bosonic atoms in optical lattices and superlattices

Manpreet Singh, Arya Dhar, Tapan Mishra +2 more

The Mott-insulator--superfluid transition for ultracold bosonic atoms in an optical lattice has been extensively studied in the framework of the Bose-Hubbard model with two-body on-site interactions. In this paper, we analyze the additional effect of the three-body on-site interactions on this phase transition in an optical lattice and the transitions between the various phases that arise in an optical superlattice. Using the mean-field theory and the density matrix renormalization group method, we find the phase diagrams depicting the relationships between various physical quantities in an optical lattice and superlattice. We also propose a possible experimental signature to observe the on-site three-body interactions.

arXiv:1203.1412•Physical Review A•May 21, 2012•38 citations

Superfluid–Mott-insulator transition of dipolar bosons in an optical lattice

Zhengwei Xie, Weixi Liu

The superfluid--Mott-insulator phase transition of dipolar bosons in optical lattice is analyzed. By using the Bogoliubov approach and decoupling approximation, the energy spectrum and zero-temperature phase diagram of dipolar bosonic atoms in an optical lattice are obtained analytically. The results show that in these systems the superfluid--Mott-insulator phase transition can be induced by tuning the dipole-dipole interaction and the position of the phase boundary can be moved when the on-site interaction is varied. Corresponding to a large on-site interaction, the dipole-dipole interaction is attractive near the critical point of the superfluid--Mott-insulator phase transition.

Physical Review A•Oct 22, 2004•30 citations

Quantum phases of constrained dipolar bosons in coupled one-dimensional optical lattices

Manpreet Singh, Suman Mondal, B. K. Sahoo +1 more

We investigate a system of two- and three-body constrained dipolar bosons in a pair of one-dimensional optical lattices coupled to each other by nonlocal dipole-dipole interactions. Assuming attractive dipole-dipole interactions, we obtain the ground-state phase diagram of the system by employing the cluster mean-field theory. The competition between the repulsive on-site and attractive nearest-neighbor interactions between the chains yields three kinds of superfluids, namely, the trimer superfluid, the pair superfluid, and the usual single-particle superfluid along with the insulating Mott phase at the commensurate density. Additionally, we realize the simultaneous existence of Mott insulator and superfluid phases for the two- and three-body constrained bosons, respectively. We also analyze the stability of these quantum phases in the presence of a harmonic trap potential.

arXiv:1706.07304•Physical Review A•Nov 1, 2017•14 citations

Phase Diagram of Mixtures of Ultracold Bosons in Optical Lattice

Sergii Anufriiev, T. A. Zaleski

We study a behaviour of mixture of two species of ultracold bosons trapped in optical lattice.Using mean-field approximation, we determine the phase diagram of the system for wide range of parameters.We observe that each of the groups of atoms can condense into superfluid state or localize and form the Mott insulator, which yields that the whole system is either superfluid, the Mott insulator, or a mixed state.It appears that introduction of interaction between different kinds of atoms can strongly renormalise the phase diagram.It can alter the critical behaviour modifying multi-criticality of crossing points and order of phase transitions between mixed and superfluid states.

Acta Physica Polonica A•Aug 1, 2016•0 citations

Bose-Einstein condensates in optical lattices : the superfluid to Mott insulator phase transition

Jongchul Mun

87Rb Bose Einstein Condensate in 3D optical lattice was studied in the regime of weak interaction(the superfluid phase) and strong interaction(the Mott insulating phase). The stability of superfluid currents was studied using a moving optical lattice. The critical momentum for stable superfluid current varies from 0.5 recoil momentum (shallow lattice) to 0 (the Mott insulator) as the system reaches the Mott insulator transition. The phase diagram for the disappearance of superfluidity was studied as a function of momentum and lattice depth. Our phase diagram boundary ex-trapolates to the critical lattice depth for the superfluid-to-MI transition. When a one-dimensional gas was loaded into a moving optical lattice a sudden broadening of the transition between stable and unstable phases was observed. A new auxiliary vacuum chamber, which is called the science chamber, was de-signed and installed to improve optical lattice experimental performance and imaging resolution power. Atoms are transported from the main chamber to the science cham-ber. By further evaporation cooling, BECs with N- 2-3 x 104 atoms are produced

•Jan 1, 2008•3 citations
We study the quantum phases that may arise when 7Li atoms that possess an attractive two-body interaction are loaded into an optical lattice.The phase diagram that we have obtained for 7Li atoms within a mean-field approximation is composed of the superfluid and Mott-insulator phases as for bosonic atoms with a repulsive two-body interaction. We have found that the repulsive three-body interaction plays a vital role in stabilizing the quantum phases of 7Li atoms in an optical lattice.
The Mott-insulator--superfluid transition for ultracold bosonic atoms in an optical lattice has been extensively studied in the framework of the Bose-Hubbard model with two-body on-site interactions. In this paper, we analyze the additional effect of the three-body on-site interactions on this phase transition in an optical lattice and the transitions between the various phases that arise in an optical superlattice. Using the mean-field theory and the density matrix renormalization group method, we find the phase diagrams depicting the relationships between various physical quantities in an optical lattice and superlattice. We also propose a possible experimental signature to observe the on-site three-body interactions.
The superfluid--Mott-insulator phase transition of dipolar bosons in optical lattice is analyzed. By using the Bogoliubov approach and decoupling approximation, the energy spectrum and zero-temperature phase diagram of dipolar bosonic atoms in an optical lattice are obtained analytically. The results show that in these systems the superfluid--Mott-insulator phase transition can be induced by tuning the dipole-dipole interaction and the position of the phase boundary can be moved when the on-site interaction is varied. Corresponding to a large on-site interaction, the dipole-dipole interaction is attractive near the critical point of the superfluid--Mott-insulator phase transition.
We investigate a system of two- and three-body constrained dipolar bosons in a pair of one-dimensional optical lattices coupled to each other by nonlocal dipole-dipole interactions. Assuming attractive dipole-dipole interactions, we obtain the ground-state phase diagram of the system by employing the cluster mean-field theory. The competition between the repulsive on-site and attractive nearest-neighbor interactions between the chains yields three kinds of superfluids, namely, the trimer superfluid, the pair superfluid, and the usual single-particle superfluid along with the insulating Mott phase at the commensurate density. Additionally, we realize the simultaneous existence of Mott insulator and superfluid phases for the two- and three-body constrained bosons, respectively. We also analyze the stability of these quantum phases in the presence of a harmonic trap potential.
We study a behaviour of mixture of two species of ultracold bosons trapped in optical lattice.Using mean-field approximation, we determine the phase diagram of the system for wide range of parameters.We observe that each of the groups of atoms can condense into superfluid state or localize and form the Mott insulator, which yields that the whole system is either superfluid, the Mott insulator, or a mixed state.It appears that introduction of interaction between different kinds of atoms can strongly renormalise the phase diagram.It can alter the critical behaviour modifying multi-criticality of crossing points and order of phase transitions between mixed and superfluid states.
87Rb Bose Einstein Condensate in 3D optical lattice was studied in the regime of weak interaction(the superfluid phase) and strong interaction(the Mott insulating phase). The stability of superfluid currents was studied using a moving optical lattice. The critical momentum for stable superfluid current varies from 0.5 recoil momentum (shallow lattice) to 0 (the Mott insulator) as the system reaches the Mott insulator transition. The phase diagram for the disappearance of superfluidity was studied as a function of momentum and lattice depth. Our phase diagram boundary ex-trapolates to the critical lattice depth for the superfluid-to-MI transition. When a one-dimensional gas was loaded into a moving optical lattice a sudden broadening of the transition between stable and unstable phases was observed. A new auxiliary vacuum chamber, which is called the science chamber, was de-signed and installed to improve optical lattice experimental performance and imaging resolution power. Atoms are transported from the main chamber to the science cham-ber. By further evaporation cooling, BECs with N- 2-3 x 104 atoms are produced