Quantum statistical distributions for interacting particles

S. B. Khasare, S. B. Khasare

SERGEI B. ISAKOV

Generalized statistical distributions for identical particles are introduced for the case where filling a single-particle quantum state by particles depends on filling states of different momenta. The system of one-dimensional bosons with a two-body potential that can be solved by means of the thermodynamic Bethe ansatz is shown to be equivalent thermodynamically to a system of free particles obeying statistical distributions of the above class. The quantum statistics arising in this way are completely determined by the two-particle scattering phases of the corresponding interacting systems. An equation determining the statistical distributions for these statistics is derived.

M. F. V. Oliveira, F. A. B. F. de Moura, André M. C. Souza +2 more

The dynamics of two interacting quantum particles on a weakly disordered chain is investigated. Spatial quantum interference between them is characterized through the statistics of two-particle transition amplitudes, related to Hanbury Brown-Twiss correlations in optics. The fluctuation profile of the signal can discern whether the interacting parties are behaving like identical bosons, fermions, or distinguishable particles. An analog fully developed speckle regime displaying Rayleigh statistics is achieved for interacting bosons. Deviations toward long-tailed distributions echo quantum correlations akin to noninteracting identical particles. In the limit of strong interaction, two-particle bound states obey compound Rician distributions.

Elliot W. Montroll, John Ward

Mark Kon

Ju Zhang

In this paper,the authors suggest a new means to simplify the imference of quantum statistical distributions of uninferacting particles.