Clusters and condensates in Fermi systems

Statistical mechanics and phase diagrams of rotating self-gravitating fermions

We compute statistical equilibrium states of rotating self-gravitating systems enclosed within a box by maximizing the Fermi-Dirac entropy at fixed mass, energy and angular momentum. The Fermi-Dirac distribution describes quantum particles (fermions) subject to Pauli’s exclusion principle. It is also a typical prediction of Lynden-Bell’s theory of violent relaxation for collisionless stellar sy...

آرام کردن مایع فرمی: جدال با علامتهای فرمیونی غیر مستقیم

 The fermion sign problem is studied in the path integral formalism. The standard picture of Fermi liquids is first critically analyzed, pointing out some of its rather peculiar properties. The insightful work of Ceperley in constructing fermionic path integrals in terms of constrained world-lines is then reviewed. In this representation, the minus signs associated with Fermi-Dirac statistics a...

Phase diagrams and Thomas-Fermi estimates for spin-orbit coupled Bose-Einstein Condensates under rotation

The Bulk Josephson response of the d - g - wave cuprate superconductor

We consider the implications of the small Fermi surface for the ab-plane microwave absorption. The small Fermi surface results in two superconducting condensates. Linear combinations of these condensates correspond to the d-and g-wave pairings. Microwave electric field applied in the ab-plane induces Josephson transitions between the condensates. Dependence of the absorption upon direction, amp...

Bose-Fermi mixtures in 1D optical superlattices

The zero temperature phase diagram of binary boson-fermion mixtures in two-colour superlattices is investigated. The eigenvalue problem associated with the Bose-Fermi-Hubbard Hamiltonian is solved using an exact numerical diagonalization technique, supplemented by an adaptive basis truncation scheme. The physically motivated basis truncation allows to access larger systems in a fully controlled...