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Mean-field dynamics of the superfluid-insulator phase transition in a gas of ultracold atoms

Jakub Zakrzewski

A large-scale dynamical simulation of the superfluid--Mott-insulator transition in a gas of ultracold atoms placed in an optical lattice is performed using the time-dependent Gutzwiller mean-field approach. This approximate treatment allows us to take into account most of the details of the recent experiment [Greiner et al., Nature (London) 415, 39 (2002)] where by changing the depth of the lattice potential an adiabatic transition from a superfluid to a Mott insulator state has been reported. Our simulations reveal a significant excitation of the system with a transition to insulator in restricted regions of the trap only.A large-scale dynamical simulation of the superfluid--Mott-insulator transition in a gas of ultracold atoms placed in an optical lattice is performed using the time-dependent Gutzwiller mean-field approach. This approximate treatment allows us to take into account most of the details of the recent experiment [Greiner et al., Nature (London) 415, 39 (2002)] where by changing the depth of the lattice potential an adiabatic transition from a superfluid to a Mott insulator state has been reported. Our simulations reveal a significant excitation of the system with a transition to insulator in restricted regions of the trap only.

arXiv:cond-mat/0406186Physical Review AApr 4, 200577 citations

ChemInform Abstract: Quantum Phase Transition from a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms.

Markus Greiner, Olaf Mandel, Tilman Esslinger +2 more

Abstract ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.

ChemInformApr 9, 20020 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 produced87Rb 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, 20083 citations

Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

Markus Greiner, Olaf Mandel, Tilman Esslinger +2 more

arXiv:2506.21303NatureJan 1, 20025,930 citations

Quantum phase transition from a superfluid to a Mott insulator in an ultracold gas of atoms

Markus Greiner, Olaf Mandel, Tim Rom +4 more

Physica B Condensed MatterMay 1, 200317 citations

Quantum gas microscopy: in-situ imaging of ultracold atomic gases

1. In situ Observation of incompressible Mott-insulating domains in ultracold atomic gases Authors: N. Gemelke, X. Zhang, C.-L. Hung, C. Chin arXiv:0904.1532; Nature 460, 995 (2009) 2. Probing the Superuid-to-Mott-Insulator Transition at the Single-Atom Level Authors: W. S. Bakr, A. Peng, M. E. Tai, R. Ma, J. Simon, J. I. Gillen, S. Folling, L. Pollet, and M. Greiner. […]

Journal Club for Condensed Matter PhysicsAug 29, 20100 citations

Quantum Phase Transition from a Superfluid to a Mott Insulator in an Ultracold Gas of Atoms

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Quantum Phase Transition from a Superfluid to a Mott Insulator in an Ultracold Gas of Atoms

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