Our Research Project In Campus

• Need for devices that couple charges and light
• Quantum & optical computing
• Information transfer technologies, control of optomechanical interactions with single atoms.
• Quantum mixture of excitons and cavity photons
• Electrically-controlled polariton switch

Gross-Pitaevski equation for polariton condensate. Dependence of the upper polariton BEC density Density of the condensate is studies as a function of the Rabi splitting energy and the polariton lifetime. Momentum distribution of particles in the polariton condensate is studied. Phase map for the interacting lower and upper polariton condensates.

A partition of an integer is a way of expressing an integer as a sum of positive integers where the order of the summands is considered irrelevant. Denote by p(n) the number of partitions of n.Convention : p(0) = 1 and P(n) = 0 for n negative.

Main questions

• Can we compute p(n) for any n?
• Can we approximate p(n) for n large number?

There is a strong relation between Partition Theory and other areas of mathematics, such as the Representation Theory. Many identities which involve partitions of numbers have been proved or conjectured by using representations of Lie algebras. Among them, the most celebrated are the Rogers-Ramanajan partition identities. One of the Rogers-Ramanujan identity states that the number of partitions of a nonnegative integer n with parts of the form 5i+1 and 5i+4 is equal to the number of partitions of n such that the difference between consecutive parts is at least two.

What is a Higgs Boson ?
The Higgs Boson is an elementary particle associated to Higgs field. This field is responsible for the fact that different particles have different masses. The role of the Higgs field and the existence of the Higgs boson were predicted (in 1964!) by F. Englert, R. Brout and P. Higgs. Subsequently, S. Weinberg introduced the Higgs mechanism in the theory describing weak interactions. G. ‘t Hooft showed that the theory can be used to predict the outcome of particles collisions.

• The standard model describes the fundamental particles, their nature and how they interact through three of four fundamental forces of nature, which are the strong nuclear force, the weak nuclear force, and the electromagnetic force. Gravity is ignored, because it has a very small effect on particle interactions.
• There are two types of elementary particles: fermions and bosons. The higgs boson is the 5th fundamental boson predicted by the Standard Model.
• The Standard Model has successfully predicted the existence of the top quark, the W Boson, and the Z boson.
• The last missing particle was the Higgs Boson, which was discovered at Large Hadron Collider in 2012. All of the particles include in the standard model have now been discovered experimentally.