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Quantum phase transitions studied within the interacting boson model

Cejnar1, Jolie

  • 1Institute of Particle and Nuclear Physics, Charles University, V Holesovickach 2, 180 00 Prague, Czech Republic.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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We explore quasicritical phenomena in quantum phase transitions within the interacting boson model. This study reveals simultaneous spectral and classical potential changes during transitions between spherical and deformed nuclear shapes.

Area of Science:

  • Nuclear Physics
  • Quantum Mechanics
  • Condensed Matter Physics

Background:

  • The interacting boson model describes collective nuclear behavior using dynamical symmetries.
  • Quantum phase transitions occur between distinct phases characterized by symmetries like U(5) and SU(3).
  • Understanding transitions between these phases is crucial for nuclear structure and dynamics.

Purpose of the Study:

  • To investigate quasicritical phenomena in the U(5)-SU(3) transition of the interacting boson model.
  • To identify and analyze the interplay of spectroscopic features during quantum phase transitions.
  • To explore the influence of dynamical parameters on inter-symmetry transitions.

Main Methods:

  • Utilizing the algebraic framework of the interacting boson model.

Related Experiment Videos

  • Analyzing the geometrical interpretation of spherical (U(5)) and deformed (SU(3)) nuclear shapes.
  • Examining parameter regions for simultaneous occurrence of spectral anomalies and potential changes.

    • Main Results:

    • Quasicriticality in the U(5)-SU(3) transition is linked to abrupt eigenstate structural changes.
    • Multiple avoided level crossings and peaked exceptional points density are observed.
    • Qualitative changes in the classical potential accompany these quantum phenomena.
    • Spectroscopic features impact inter-symmetry transition dynamics when parameters become dynamical.

    Conclusions:

    • The U(5)-SU(3) transition exhibits rich quasicritical behavior.
    • A narrow parameter region reveals a convergence of quantum and classical anomalies.
    • Dynamical parameters play a significant role in the transition dynamics.