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Related Experiment Videos

Strong-coupling expansions for multiparticle excitations: continuum and bound states

Trebst1, Monien, Hamer

  • 1Physikalisches Institut, Universitat Bonn, Nubetaallee 12, 53115 Bonn, Germany.

Physical Review Letters
|November 4, 2000
PubMed
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We developed a new method to calculate multiparticle excitation spectra. This technique reveals a rich spectrum with many bound states in coupled spin-half dimers, dependent on coupling geometry and frustration.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Many-body systems

Background:

  • Calculating multiparticle excitation spectra is computationally challenging.
  • Understanding bound states in coupled quantum systems is crucial for material science.
  • Perturbation theory is a common tool but often limited in order.

Purpose of the Study:

  • To introduce a novel linked cluster expansion for high-order multiparticle excitation spectra calculations.
  • To investigate the two-particle spectra of coupled spin-half dimer systems.
  • To explore the influence of geometry and frustration on bound state formation.

Main Methods:

  • Development of a new linked cluster expansion.
  • Application to systems of coupled spin-half dimers.

Related Experiment Videos

  • High-order perturbation theory calculations.

    • Main Results:

    • The linked cluster expansion successfully calculated high-order spectra.
    • Weakly coupled dimers exhibit a rich spectrum with numerous bound states.
    • The number of bound states is sensitive to coupling geometry and frustration.
    • Many bound states require high-order perturbation theory to be observed.

    Conclusions:

    • The new linked cluster expansion is effective for complex quantum systems.
    • Coupled spin-half dimers display intricate spectral properties.
    • High-order calculations are essential for revealing the full nature of pair attraction and bound states.