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

Bulletin of the American Physical Society

Mean-field scaling of the superfluid to Mott insulator transition in a 2D optical superlattice.

Masayuki Okano, Claire Thomas, Thomas H. Barter, Tsz-Him Leung, Gyu-Boong Jo, Jennie Guzman, Itamar Kimchi, Ashvin Vishwanath, Dan Stamper-Kurn

Published Jun 6, 2017• 2 citations
OpenAlex

Related papers

The superfluid-Mott insulator transition in 2D

Ian B. Spielman, J. H. Huckans, Jennifer Sebby-Strabley +4 more

Bulletin of the American Physical Society•Mar 16, 2006•0 citations

Superfluid to Mott insulator quantum phase transition in a 2D permanent magnetic lattice

Saeed Ghanbari, P. B. Blakie, Peter Hannaford +1 more

The European Physical Journal B•Jun 23, 2009•9 citations

Mean-Field Scaling of the Superfluid to Mott Insulator Transition in a 2D Optical Superlattice

Claire Thomas, Thomas H. Barter, Tsz-Him Leung +6 more

The mean-field treatment of the Bose-Hubbard model predicts properties of lattice-trapped gases to be insensitive to the specific lattice geometry once system energies are scaled by the lattice coordination number z. We test this scaling directly by comparing coherence properties of ^{87}Rb gases that are driven across the superfluid to Mott insulator transition within optical lattices of either the kagome (z=4) or the triangular (z=6) geometries. The coherent fraction measured for atoms in the kagome lattice is lower than for those in a triangular lattice with the same interaction and tunneling energies. A comparison of measurements from both lattices agrees quantitatively with the scaling prediction. We also study the response of the gas to a change in lattice geometry, and observe the dynamics as a strongly interacting kagome-lattice gas is suddenly "hole doped" by introducing the additional sites of the triangular lattice.

arXiv:1702.04433•Physical Review Letters•Sep 6, 2017•17 citations

Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice

Nikolay V. Prokof'ev

APS•Mar 1, 2003•0 citations

Mean-field analysis of quantum phase transitions in a periodic optical superlattice

Arya Dhar, Manpreet Singh, Ramesh V. Pai +1 more

We analyze the various phases exhibited by a system of ultracold bosons in a periodic optical superlattice using the mean-field decoupling approximation. We investigate for a wide range of commensurate and incommensurate densities. We find the gapless superfluid phase, the gapped Mott insulator phase, and gapped insulator phases with distinct density wave orders.

arXiv:1203.1385•Physical Review A•Sep 23, 2011•24 citations

Phase diagram of the Bose-Hubbard model on a checkerboard superlattice

M. Iskin

We study the effects of an artificial gauge field on the ground-state phases of the Bose-Hubbard model on a checkerboard superlattice in two dimensions, including the superfluid phase and the Mott and alternating Mott insulators. First, we discuss the single-particle Hofstadter problem, and show that the presence of a checkerboard superlattice gives rise to a magnetic flux-independent energy gap in the excitation spectrum. Then, we consider the many-particle problem, and derive an analytical mean-field expression for the superfluid-Mott and superfluid--alternating-Mott insulator phase transition boundaries. Finally, since the phase diagram of the Bose-Hubbard model on a checkerboard superlattice is in many ways similar to that of the extended Bose-Hubbard model, we comment on the effects of magnetic field on the latter model, and derive an analytical mean-field expression for the superfluid-insulator phase transition boundaries as well.

•Jan 3, 2011•0 citations
The mean-field treatment of the Bose-Hubbard model predicts properties of lattice-trapped gases to be insensitive to the specific lattice geometry once system energies are scaled by the lattice coordination number z. We test this scaling directly by comparing coherence properties of ^{87}Rb gases that are driven across the superfluid to Mott insulator transition within optical lattices of either the kagome (z=4) or the triangular (z=6) geometries. The coherent fraction measured for atoms in the kagome lattice is lower than for those in a triangular lattice with the same interaction and tunneling energies. A comparison of measurements from both lattices agrees quantitatively with the scaling prediction. We also study the response of the gas to a change in lattice geometry, and observe the dynamics as a strongly interacting kagome-lattice gas is suddenly "hole doped" by introducing the additional sites of the triangular lattice.
We study the effects of an artificial gauge field on the ground-state phases of the Bose-Hubbard model on a checkerboard superlattice in two dimensions, including the superfluid phase and the Mott and alternating Mott insulators. First, we discuss the single-particle Hofstadter problem, and show that the presence of a checkerboard superlattice gives rise to a magnetic flux-independent energy gap in the excitation spectrum. Then, we consider the many-particle problem, and derive an analytical mean-field expression for the superfluid-Mott and superfluid--alternating-Mott insulator phase transition boundaries. Finally, since the phase diagram of the Bose-Hubbard model on a checkerboard superlattice is in many ways similar to that of the extended Bose-Hubbard model, we comment on the effects of magnetic field on the latter model, and derive an analytical mean-field expression for the superfluid-insulator phase transition boundaries as well.