Path Integral Estimates of the Quantum Fluctuations of the Relative Soliton-Soliton Velocity in a Gross-Pitaevskii Breather

Physics

Sumita Datta¹  Maxim Olshanii²  Vanja Dunjko² 

[1] Alliance School of Applied Mathematics, Alliance University, Bengaluru 562 106, Karnataka, India;Department of Physics, University of Massachusetts Boston, Boston, MA 02125, USA;

关键词: solitons;    breathers;    quantum fluctuations;    Feynman-Kac path integration;    Gross-Pitaevskii breather;   

DOI  :  10.3390/physics4010002

来源: DOAJ

【 摘 要 】

In this paper, the quantum fluctuations of the relative velocity of constituent solitons in a Gross-Pitaevskii breather are studied. The breather is confined in a weak harmonic trap. These fluctuations are monitored, indirectly, using a two-body correlation function measured at a quarter of the harmonic period after the breather creation. The results of an ab initio quantum Monte Carlo calculation, based on the Feynman-Kac path integration method, are compared with the analytical predictions using the recently suggested approach within the Bogoliubov approximation, and a good agreement is obtained.

【 授权许可】

Unknown