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Related Experiment Videos

Quantum phase transitions and the extended coupled cluster method.

N E Ligterink1, N R Walet, R F Bishop

  • 1Department of Physics, University of Manchester Institute of Science, P.O. Box 88, Manchester, M60 1QD, United Kingdom. ligterin@ect.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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An extended coupled cluster method reveals quantum phase transitions. The lattice O(4) nonlinear sigma model shows no phase transition in (1+1) dimensions but strong indications in (3+1) dimensions.

Area of Science:

  • Theoretical Physics
  • Condensed Matter Physics

Background:

  • Quantum phase transitions are critical phenomena in many-body quantum systems.
  • The coupled cluster method is a powerful tool for studying ground-state properties of quantum systems.

Purpose of the Study:

  • To apply an extended coupled cluster method to investigate quantum phase transitions.
  • To analyze the behavior of the lattice O(4) nonlinear sigma model in different dimensions.

Main Methods:

  • Utilizing an extended version of the coupled cluster method.
  • Employing the lattice O(4) nonlinear sigma model in (1+1) and (3+1) dimensions.

Main Results:

  • The extended coupled cluster method modifies simple predictions for quantum phase transitions.

Related Experiment Videos

  • Absence of a phase transition was observed in (1+1) dimensions.
  • Strong indications for a phase transition were found in (3+1) dimensions.

    • Conclusions:

    • The dimensionality of the system significantly impacts the occurrence of quantum phase transitions.
    • The extended coupled cluster method provides valuable insights into quantum phase transitions.