Research

Network is a simplified representation of a system that provide a meaningful relationship and the interaction of a particular group of information (Newman, 2010). A network can help us understand the behavior and some hidden information when several measurements are performed. The pattern of connections in a given system can be represented as network, the set of components of the system being the network vertices and the connection among the set of components the edges (Newman, 2010).

Density functional theory (DFT) is a well-known modeling method for quantum mechanical in solid state physics. A solid state is interpreted as a complex system involving electrons and nuclei. From its name, DFT explains the functional electron density for every pertinent physical quantity. A wide range of structural, chemical, optical, spectroscopic, elastic, vibrational, and thermodynamic phenomena can be calculated using modern DFT modelling algorithms.

The "geometry of quantum states" refers to the use of geometric concepts and tools to study the structure and properties of quantum states in quantum mechanics. In this framework, quantum states are represented as vectors in a complex Hilbert space, and geometric notions such as distance, angle, curvature, and symmetry can be applied to analyze their properties.

Noncommutative Quantum Mechanics (NCQM), is a field of generalized version of quantum mechanics for which the motivation is coming from modifying the standard quantum mechanics. This is needed due how one can model the physical space-time at very short distances. NCQM is thus may elaborate a quantum mechanical system with two-degrees of freedom. A simple insight on the role of noncommutativity in field theory can be obtained by studying the one particle sector, which consist of the study of the quantization of the cyclotron orbits of charged particles in a uniform magnetic field. These charged particles can only occupy orbits with discrete, equidistant energy values, called Landau levels.

A system of integrable models is a class of physical systems that can be solved exactly using mathematical techniques based on the theory of integrable systems. Integrable models are typically characterized by possessing an infinite number of conserved quantities that are in involution with respect to the system's Hamiltonian. These conserved quantities allow for the exact determination of the system's dynamics and the calculation of observables.

Quantum information science is a field that investigates the fundamental properties and uses of quantum systems for the processing and communication of information. Our group use the method in group theory and geometry which provides a powerful and fruitful approach to the study and manipulation of quantum systems for information processing and communication. In the context of quantum information science, group theory is us d to describe the symmetries and transformations of quantum systems. While from the geometry, it is an important tool as it allows for the analysis of the geometric properties of quantum states and the geometric structure of quantum information processing.

We have 2 workstations cater for DFT calculation