Signatures of the superfluid–to–Mott-insulator transition in cold bosonic atoms in a one-dimensional optical lattice

2008/11/09 by S. Ramanan, Tapan Mishra, Meetu Sethi Luthra +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.other #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.79.013625

8 pages, 14 figures

arxiv created 2008/11/09 · openalex publication_date 2009/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Bose-Hubbard model using the finite size density matrix renormalization group method. We obtain a complete phase diagram for a system in the presence of a harmonic trap and compare it with that of the homogeneous system. The superfluid to the Mott-insulator phase transition is investigated using different experimental signatures of these phases in quantities such as momentum distribution, visibility, condensate fraction, and the total number of bosons at a particular density. The relationships between the various experimental signatures and the phase diagram are highlighted.

Citations

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Many-body physics with ultracold gases
• Density-matrix algorithms for quantum renormalization groups
• Formation of Spatial Shell Structure in the Superfluid to Mott Insulator Transition
• Ordering, metastability and phase transitions in two-dimensional systems

Cited by

• Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the pinning transition: A worm-algorithm Monte Carlo study