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Related Experiment Videos

Quantum dissipation due to the interaction with chaos.

Doron Cohen1, Tsampikos Kottos

  • 1Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
PubMed
Summary

Quantum dissipation can arise from interactions with chaotic systems, mimicking bath interactions. This study explores conditions for dissipation and finds nonuniversal relaxation dynamics reflecting underlying semiclassical behavior.

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Area of Science:

  • Quantum mechanics
  • Chaos theory
  • Statistical mechanics

Background:

  • Dissipation in quantum systems is typically modeled via interaction with a many-body bath.
  • The role of chaotic environments in inducing quantum dissipation is less understood.
  • Understanding quantum dissipation is crucial for quantum computing and condensed matter physics.

Purpose of the Study:

  • To investigate the conditions under which chaotic degrees of freedom can induce quantum dissipation.
  • To compare dissipation effects from chaotic environments with those from random matrix models.
  • To analyze the nature of relaxation processes in quantum systems interacting with chaos.

Main Methods:

  • Defining criteria for dissipative effects analogous to bath interactions.

Related Experiment Videos

  • Comparing chaotic environment models with random matrix theory.
  • Analyzing a two-level system (spin) interacting with a 2D anharmonic oscillator as a case study.

    • Main Results:

    • Identified conditions for quantum dissipation arising from chaotic interactions.
    • Observed nonuniversal relaxation dynamics in the chaotic regime.
    • Demonstrated that relaxation processes reflect underlying semiclassical dynamics.

    Conclusions:

    • Chaotic environments can lead to quantum dissipation.
    • The relaxation dynamics in such systems are nonuniversal and dependent on semiclassical properties.
    • This provides a new perspective on decoherence and energy loss in quantum systems.