PEPS-PROPOSAL · New techniques in the simulation of quantum many-body systems in two dimensions: methods and applications

A number of recent results in the field of quantum information science have lead to new and fresh ideas to attack old, long-standing problems in condensed matter physics. The study of quantum correlations (or entanglement) has motivated the development of a host of new promising methods to numerically simulate the physics of quantum many-body systems. Based on this, the aim of this project is to build new techniques to understand the physics of strongly correlated quantum systems in two dimensions. The expected outcome is a numerical package that will be amongst the best tools to understand the quantum-mechanical properties of these systems, in turn contributing to the study of the universal theory of quantum phase transitions and our understanding of quantum states of matter in Nature. These methods are also expected to a have significant impact in fields such as condensed matter physics, quantum-atom optics, lattice high-energy physics, quantum information and computation, and nanotechnology.