Uncertainty Principle and Off-Diagonal Long Range Order in the Fractional Quantum Hall Effect

@inproceedings{LPitaevskii1992UncertaintyPA,
  title={Uncertainty Principle and Off-Diagonal Long Range Order in the Fractional Quantum Hall Effect},
  author={L.Pitaevskii and S.Stringari},
  year={1992}
}
A natural generalization of the Heisenberg uncertainty principle inequality holding for non hermitian operators is presented and applied to the fractional quantum Hall effect (FQHE). This inequality was used in a previous paper to prove the absence of long range order in the ground state of several 1D systems with continuous group symmetries. In this letter we use it to rule out the occurrence of Bose-Einstein condensation in the bosonic representation of the FQHE wave function proposed by… 
1 Citations
Aspects of Quantum Fluctuations under Time-dependent External Influences
The vacuum of quantum field theory is not empty space but filled with quantum vacuum fluctuations, which give rise to many intriguing effects. The first part of this Thesis addresses cosmic