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Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Condensed matter physics

Background:

  • The Ehrenfest approximation simplifies quantum dynamics but has limitations for nonlinear systems.
  • Open quantum systems interact with their environment, influencing their behavior.
  • Double-well potentials are fundamental models in quantum mechanics and physical chemistry.

Purpose of the Study:

  • To investigate the validity of the Ehrenfest approximation in open quantum systems.
  • To explore environment-induced effects on symmetry breaking in nonlinear dynamics.
  • To understand quantum tunneling and thermal activation in a realistic setting.

Main Methods:

  • Utilizing an Ehrenfest approximation for a particle in a double-well potential.
  • Modeling the external environment as a finite-resource heat bath.
  • Analyzing the system's behavior under varying coupling strengths and temperatures.

Main Results:

  • Identified an environment-induced spontaneous symmetry breaking mechanism.
  • Demonstrated that the Ehrenfest approximation improves with stronger coupling to the heat bath (more oscillators or higher temperature).
  • Provided an intuitive picture of quantum tunneling and classical thermal activation interplay.

Conclusions:

  • The Ehrenfest approximation's validity in nonlinear open systems is enhanced by strong environmental coupling.
  • Spontaneous symmetry breaking can be induced by the environment.
  • The findings offer insights into quantum tunneling and thermal activation relevant to various physical systems.