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Related Experiment Videos

Decoherence and thermalization in a simple bosonic system.

P Cejnar1, V Zelevinsky, V V Sokolov

  • 1Institute of Particle and Nuclear Physics, Charles University, V Holesovickách 2, 180 00 Prague, Czech Republic. pavel.cejnar@mff.cuni.cz

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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Quantum system parameter fluctuations induce decoherence and thermalization. These effects are pronounced near critical points, revealing insights into quantum phase transitions and the role of specific bases.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Condensed matter physics

Background:

  • Investigating parameter-dependent quantum systems is crucial for understanding complex behaviors.
  • Fluctuations in quantum system parameters can lead to emergent phenomena like decoherence and thermalization.
  • The interacting boson model-1 provides a framework for studying quantum phase transitions.

Purpose of the Study:

  • To analyze the properties of a quantum system with randomized Hamiltonian parameters.
  • To explore the effects of parameter fluctuations on decoherence and thermalization.
  • To investigate thermodynamic consequences of quantum phase transitions.

Main Methods:

  • Utilized the interacting boson model-1 with parameter fluctuations.

Related Experiment Videos

  • Analyzed density matrices derived from randomized eigenstates.
  • Calculated von Neumann and information entropies for decoherence.
  • Developed a method to represent density matrices by equivalent thermal ensembles.

    • Main Results:

    • Parameter fluctuations transform eigenstates into statistical ensembles (density matrices).
    • Increased decoherence observed at the quantum phase transition point.
    • The dynamic-symmetry U(5) basis plays an exceptional role in decoherence.
    • A method for thermal ensemble equivalence was established.

    Conclusions:

    • Parameter fluctuations in quantum systems lead to decoherence and thermalization.
    • Quantum phase transitions exhibit enhanced decoherence.
    • The study provides a framework for understanding thermodynamic consequences of quantum transitions.