Ground-state properties of interacting Bose polarons

Ground-state properties of magnetically trapped Bose-condensed rubidium gas.

We give a quantitative account of the ground-state properties of the dilute magnetically trapped 87Rb gas recently cooled and Bose-Einstein condensed at nanokelvin-scale temperatures. Using simple scaling arguments, we show that at large particle number the kinetic energy is a small perturbation, and find a spatial structure of the cloud of atoms and its momentum distribution dependent in an es...

Ground state properties of one-dimensional Bose–Fermi mixtures

Bose–Fermi mixtures in one dimension are studied in detail on the basis of an exact solution. Corresponding to three possible choices of the reference state in the quantum inverse scattering method, three sets of Bethe-ansatz equations are derived explicitly. The features of the ground state and low-lying excitations are investigated. The ground state phase diagram caused by the external field ...

Hopping dynamics of interacting polarons

Ground-State Energy of a Weakly Interacting Bose Gas: Calculation Without Regularization

The textbook calculation of the ground-state energy of a dilute gas of Bose particles is examined in detail, and certain mathematical inconsistencies are pointed out. On the basis of this analysis, a refined approach suitable for soft interaction potentials which lend themselves to a low-order Born approximation is developed. This procedure emphasizes the low-density character of the resulting ...

The Ground State of the Bose Gas

Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous – and this fac...