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Superfluid-Insulator Transition in an Optical Lattice

Having considered several examples of magnetic quantum phase transitions, we now turn to the superfluid-insulator transition in many-boson systems. In the section on Classical Monte Carlo Approaches we discussed how the universal critical behavior of this transition can be determined by mapping the Bose-Hubbard model, Eq. [32], onto the classical (d -I-1)-dimensional link current Hamiltonian, Eq. [35], which can then be simulated using classical Monte Carlo methods. [Pg.207]

To provide quantitative predictions about how to detect the superfluid-insulator transition in these experiments, Kashurnikov, Prokofev and Svistunov performed quantum Monte Carlo simulations of the singleparticle density matrix p,y = (I I /). They used the Bose-Hubbard model with harmonic confining potential and carried out world-line Monte Carlo simulations with the continuous-time Worm algorithm. The diagonal elements of the density matrix provide the real-space particle density, and [Pg.207]

System (f) again displays the fine structure associate with the appearance of an insulating domain in the second shell. These quantitative results can be used to identify the superfluid-insulator transition in experiments. [Pg.210]


Figure 15 Superfluid-insulator transition in an optical lattice Single-particle momentum distribution. Panels (a)-(f) correspond to the systems shown in Figure 14. (Taken with permission from Ref. 111.)... Figure 15 Superfluid-insulator transition in an optical lattice Single-particle momentum distribution. Panels (a)-(f) correspond to the systems shown in Figure 14. (Taken with permission from Ref. 111.)...

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