Uncertainty product of an out-of-equilibrium Bose-Einstein condensate

S. Klaiman, A. I. Streltsov, O. E. Alon

Research output: Contribution to journalArticlepeer-review


The variance and uncertainty product of the position and momentum many-particle operators of structureless bosons interacting by a long-range inter-particle interaction and trapped in a single-well potential are investigated. In the first example, of an out-of-equilibrium interaction-quench scenario, it is found that, despite the system being fully condensed, already when a fraction of a particle is depleted differences with respect to the mean-field quantities emerge. In the second example, of the pathway from condensation to fragmentation of the ground state, we find out that, although the cloud's density broadens while the system's fragments, the position variance actually decreases, the momentum variance increases, and the uncertainty product is not a monotonous function but has a maximum. Implication are briefly discussed.

Original languageAmerican English
Article number012020
Number of pages9
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 20 Apr 2017
Event25th Annual International Laser Physics Workshop, LPHYS 2016 - Yerevan, Armenia
Duration: 11 Jul 201615 Jul 2016

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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