Model of level statistics for disordered interacting quantum many-body systems

Many-body physics in long-range interacting quantum systems

Many - body Systems with Non - Abelian Statistics

We use the conformal field theory to construct many-body Hamiltonians whose ground states support quasiparticle excitations with the non-abelian statistics. The explicit forms of the many-body ground-state wave functions are calculated. The above systems may appear naturally in the Fractional Quantum Hall Effect (FQHE) in the low density limit. We discuss the calculation of the quasiparticle st...

Quantum Boltzmann statistics in interacting systems

Collective operators for generic quantum system with discrete spectrum are investigated. These operators, considered as operators in the entangled Fock space (space generated by action of collective creations on the vacuum) satisfy a particular kind of Quantum Boltzmann (or free) commutational relations.

Coherent backscattering in Fock space: a signature of quantum many-body interference in interacting bosonic systems.

We predict a generic signature of quantum interference in many-body bosonic systems resulting in a coherent enhancement of the average return probability in Fock space. This enhancement is robust with respect to variations of external parameters even though it represents a dynamical manifestation of the delicate superposition principle in Fock space. It is a genuine quantum many-body effect tha...

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...