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

Authors:
; ; ; ; ; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1379972
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 10; Related Information: CHORUS Timestamp: 2017-09-06 21:00:39; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Thomas, Claire K., Barter, Thomas H., Leung, Tsz-Him, Okano, Masayuki, Jo, Gyu-Boong, Guzman, Jennie, Kimchi, Itamar, Vishwanath, Ashvin, and Stamper-Kurn, Dan M. Mean-Field Scaling of the Superfluid to Mott Insulator Transition in a 2D Optical Superlattice. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.100402.
Thomas, Claire K., Barter, Thomas H., Leung, Tsz-Him, Okano, Masayuki, Jo, Gyu-Boong, Guzman, Jennie, Kimchi, Itamar, Vishwanath, Ashvin, & Stamper-Kurn, Dan M. Mean-Field Scaling of the Superfluid to Mott Insulator Transition in a 2D Optical Superlattice. United States. doi:10.1103/PhysRevLett.119.100402.
Thomas, Claire K., Barter, Thomas H., Leung, Tsz-Him, Okano, Masayuki, Jo, Gyu-Boong, Guzman, Jennie, Kimchi, Itamar, Vishwanath, Ashvin, and Stamper-Kurn, Dan M. 2017. "Mean-Field Scaling of the Superfluid to Mott Insulator Transition in a 2D Optical Superlattice". United States. doi:10.1103/PhysRevLett.119.100402.
@article{osti_1379972,
title = {Mean-Field Scaling of the Superfluid to Mott Insulator Transition in a 2D Optical Superlattice},
author = {Thomas, Claire K. and Barter, Thomas H. and Leung, Tsz-Him and Okano, Masayuki and Jo, Gyu-Boong and Guzman, Jennie and Kimchi, Itamar and Vishwanath, Ashvin and Stamper-Kurn, Dan M.},
abstractNote = {},
doi = {10.1103/PhysRevLett.119.100402},
journal = {Physical Review Letters},
number = 10,
volume = 119,
place = {United States},
year = 2017,
month = 9
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on September 6, 2018
Publisher's Accepted Manuscript

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  • The standard mean-field theory for the Mott-insulator-superfluid phase transition is not sufficient to describe the Mott-insulator-paired-superfluid phase transition. Therefore, by restricting the two-species Bose-Hubbard Hamiltonian to the subspace of paired particles, and using perturbation theory, here we derive an analytic mean-field expression for the Mott-insulator-paired-superfluid transition boundary.
  • The superfluid-Mott-insulator transition of spin-2 boson atoms with repulsive interaction in an optical lattice in a magnetic field is presented. By using the mean-field theory, the Mott ground states and phase diagrams of the superfluid-Mott-insulator transition at zero temperature are revealed. An applied magnetic field leads to splitting of some phase boundaries. For all the initial Mott ground states containing multiple spin components, different spin components take on different phase boundaries. It is found that in this system phase boundaries with different magnetization can be moved in different ways by changing only the intensity of the applied magnetic field.
  • We study the superfluid to Mott-insulator transition of hardcore bosons in commensurate superlattices in two and three dimensions. We focus on the special case where the superlattice has period two and the system is at half-filling. We obtain numerical results by using the stochastic series expansion algorithm, and compute various properties of the system, such as the ground-state energy, the density of bosons in the zero-momentum mode, the superfluid density, and the compressibility. We employ finite-size scaling to extrapolate the thermodynamic limit, and find the critical points of the phase transition. We also explore the extent to which several approximatemore » solutions such as mean-field theory, with and without spin-wave corrections, can help one gain analytical insight into the behavior of the system in the vicinity of the phase transition.« less
  • No abstract prepared.
  • We study the superfluid-Mott insulator (SF-MI) transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. Starting from a Bose-Hubbard tight-binding model for spin-1 bosons, we obtain the zero-temperature phase diagram by a mean-field approximation. We find that the MI phase with an even number of atoms per site is a spin singlet state, while the MI phase with an odd number of atoms per site has spin 1 at each site in the limit of t=0, where t is the hopping matrix element. We also show that the superfluid phase is a polar state as in the case formore » a spin-1 Bose condensate in a harmonic trap. It is found that the MI phase is strongly stabilized against the SF-MI transition when the number of atoms per site is even, due to the formation of singlet pairs. We derive the effective spin Hamiltonian for the MI phase with one atom per site and briefly discuss the spin order in the MI phase.« less