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This summary is machine-generated.

Coupling to decay channels can shift degrees of freedom from one to two in quantum systems. This finding, based on a configuration-interaction model, reveals Gaussian Unitary Ensemble fluctuations under milder conditions.

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Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Chemical physics

Background:

  • The Gaussian orthogonal ensemble (GOE) models strongly coupled quantum systems.
  • GOE is often used to explain decay rate fluctuations following a chi-squared distribution with one degree of freedom.

Purpose of the Study:

  • To investigate how coupling to decay channels affects the degrees of freedom in random matrix theory.
  • To determine if Gaussian Unitary Ensemble (GUE) fluctuations can arise under less stringent conditions.

Main Methods:

  • Utilized a configuration-interaction Hamiltonian with two sets of GOE reservoirs connected by a channel.
  • Analyzed the dependence of effective degrees of freedom on the parameter ρΓ (level density times decay width).

Main Results:

  • Demonstrated that coupling to decay channels can change the effective number of degrees of freedom from one to two.
  • Showed that the effective number of degrees of freedom is controlled by the parameter ρΓ.
  • Found that GUE fluctuations (two degrees of freedom) can emerge under milder conditions than previously thought.

Conclusions:

  • The study provides a model where GUE fluctuations appear naturally due to system-channel coupling.
  • The findings challenge the exclusive association of chi-squared distributions with one degree of freedom in such systems.
  • Analytic derivations are possible for ρΓ≳1, offering deeper insights into quantum system dynamics.