Phase diagrams of bosonic ABn chains

Phase diagrams for an ideal gas mixture of fermionic atoms and bosonic molecules

We calculate the phase diagrams for a harmonically trapped ideal gas mixture of fermionic atoms and bosonic molecules in chemical and thermal equilibrium, where the internal energy of the molecules can be adjusted relative to that of the atoms by use of a tunable Feshbach resonance. We plot the molecule fraction and the fraction of Bose-condensed molecules as functions of the temperature and in...

Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains

A bosonized-field-theory representation of spin operators in the uniform-field-induced Tomonaga-Luttinger-liquid (TLL) phase in spin-1 Haldane chains is formulated by means of the non-Abelian (Tsvelik’s Majorana fermion theory) and the Abelian bosonizations and Furusaki-Zhang technique [Phys. Rev. B 60, 1175 (1999)]. It contains massive magnon fields as well as massless boson fields. From it, a...

Phase-space analysis of bosonic spontaneous emission

We present phase-space techniques for the modelling of spontaneous emission in two-level bosonic atoms. The positive-P representation is shown to give a full and complete description within the limits of our model. The Wigner representation, even when truncated at second order, is shown to need a doubling of the phase-space to allow for a positive-definite diffusion matrix in the appropriate Fo...

Geochemical Phase Diagrams and Gale Diagrams

The problem of predicting the possible topologies of a geochemical phase diagram, based on the chemical formula of the phases involved, is shown to be intimately connected with and aided by well-studied notions in discrete geometry: Gale diagrams, triangulations, secondary fans, and oriented matroids.

Magnetic phase diagrams of the