Coherent states in the bilayer fractional quantum Hall ferromagnet

Tatsuya Nakajima, Hideo Aoki

Research output: Contribution to journalArticlepeer-review


We find that we can use a 'squeezed-vacuum' state conceived in quantum optics to give the ground-state wave function for the bilayer quantum Hall system at the total Landau-level filling of ν = 1/m (m: odd integer). This is derived in the boson approximation, where a particle-hole pair creation across the symmetric-antisymmetric gap, ΔSAS, is regarded as a boson. The degree of squeezing is given as a function of the layer separation and ΔSAS.

Original languageEnglish
Pages (from-to)828-831
Number of pages4
JournalPhysica B: Condensed Matter
Publication statusPublished - 1998 Jun 17


  • Coherent state
  • Double layer electron systems
  • Excitons
  • Quantum Hall effect
  • Squeezed state

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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