Entropy Minimization for Many-Body Quantum Systems

Quantum information in many-body systems

ABSTRACT: Quantum information sheds new light on quantum systems, complementary to the traditional point of view of energy. A key notion is entanglement, which measures quantum correlations within the system. Understanding entanglement of ground states is crucial to efficiently represent such many-body states using a small number of variational parameters. This is but one example of very powerf...

Negentropy in Many-Body Quantum Systems

Negentropy (negative entropy) is the negative contribution to the total entropy of correlated many-body environments. Negentropy can play a role in transferring its related stored mobilizable energy to colliding nuclei that participate in spontaneous or induced nuclear fusions in solid or liquid metals or in stellar plasmas. This energy transfer mechanism can explain the observed increase of nu...

Optimal correlations in many-body quantum systems.

Information and correlations in a quantum system are closely related through the process of measurement. We explore such relation in a many-body quantum setting, effectively bridging between quantum metrology and condensed matter physics. To this aim we adopt the information-theory view of correlations and study the amount of correlations after certain classes of positive-operator-valued measur...

Quantum Entanglement in Many-body Systems

This article is intended to be a pedagogical review of the recent studies of quantum entanglement in many-body systems. The basic concepts of entanglement for pure and mixed states are introduced in an intuitive approach. We will see that in the weakly interacting BEC and BCS superconductivity theories, the pair of particles with momentum k and −k are entangled but they are not correlated with ...

Many-body studies on atomic quantum systems