# ALPS 2 Tutorials:DWA-01 Revisiting MC05

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Revision as of 18:58, 10 September 2013 by Tamama (talk | contribs) (→Preparing and running the simulation from the command line)

# Quantum phase transitions in the Bose-Hubbard model

As an example of the dwa QMC code we will study a quantum phase transition in the Bose-Hubbard mode.

## Superfluid density in the Bose Hubbard model

### Preparing and running the simulation from the command line

The parameter file parm5a sets up Monte Carlo simulations of the quantum Bose Hubbard model on a square lattice with 4x4 sites for a couple of hopping parameters (t=0.01, 0.02, ..., 0.1) using the dwa code.

LATTICE="square lattice"; L=4; MODEL="boson Hubbard"; NONLOCAL=0; U = 1.0; mu = 0.5; Nmax = 2; T = 0.1; SWEEPS=500000; THERMALIZATION=10000; { t=0.01; } { t=0.02; } { t=0.03; } { t=0.04; } { t=0.05; } { t=0.06; } { t=0.07; } { t=0.08; } { t=0.09; } { t=0.1; }

Using the standard sequence of commands you can run the simulation using the quantum dwa code