Question

The tt-JJ model, i.e, a strong correlation limit and effective low energy theory for the hubbard model. Stimulate a two dimensional square lattice tt-JJ model using Path integral monte carlo, a technique in quantum monte carlo simulation. Tell whether there are open sources for path integral monte carlo techniques (any language is fine) which are based on Suzuki-Trotter decomposition.

Answer 1

Path Integral Monte Carlo (PIMC) is a quantum Monte Carlo technique used to simulate quantum systems, including the tt-JJ model. There are open-source libraries like ALPS and QWalk that implement PIMC based on Suzuki-Trotter decomposition.

Step-by-step explanation:

Path Integral Monte Carlo (PIMC) is a quantum Monte Carlo technique used in simulating quantum systems. It is based on the concept of the path integral, which represents the quantum behavior of particles. PIMC can be used to simulate the tt-JJ model, a low energy effective theory for the Hubbard model on a two-dimensional square lattice.

There are open-source libraries available that implement the PIMC technique based on Suzuki-Trotter decomposition. One example is the ALPS project, which provides a C++ library called 'PyAlps' for performing Monte Carlo simulations, including PIMC.

Another example is the QWalk project, which is written in Fortran and provides a range of quantum Monte Carlo methods, including PIMC.