Theory

Our research consists of several projects that deal with theoretically investigating ideas and concepts of quantum information and quantum engineering in synthetic and naturally occurring quantum systems. Our favourite systems are taken from the area of ultracold atomic gases, but also include solid-state nano-structures, nano-optical devices and even biological systems. Ultracold atomic gases are experimentally very advanced and allow for a high level of control, while at the same time they are often accessible to detailed theoretical treatment.

Key fields of our research: ultracold atomic gases, Bose-Einstein condensate, dipolar Fermi and Bose gases, spinor gases, nonlinear atom optics, atoms in artificial Abelian and non-Abelian gauge fields, one-dimensional atomic gases, cold atoms in optical lattices, strongly-correlated atomic gases out of equilibrium

This group works in the area of quantum systems in interaction with their environment, and in particular the emergent field of quantum control engineering. This is a highly interdisciplinary field incorporating ideas from (quantum) information theory, (non-commutative) stochastic analysis, mathematical physics for open quantum systems, and modern control theory. The group has an expertise in functional analysis, C* algebras and operator theory which it applies to practical quantum models.

Areas of research:

See also: http://www.cos.ufrj.br/~franklin/

Quantum Information in Paris Workshops: http://www.infres.enst.fr/~markham/QuPa/QuPa.html

GROUP DESCRIPTION

We are interested in Quantum information in general, especially: Quantum cryptography and Quantum Circuits based Josephson junction.

We work on mathematical physics, all things quantum, and the math of data analysis. Please visit our homepage at http://www.thp.uni-koeln.de/gross for further information.