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Non-Markovian Complexity in the Quantum-to-Classical Transition.

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This study explores quantum systems transitioning to classical dynamics using non-Markovian memory processes. It reveals that strong memory effects can preserve quantum coherence, preventing the transition and offering new quantum technology avenues.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science
  • Condensed Matter Physics

Background:

  • The quantum-to-classical transition explains how classical dynamics emerge from quantum systems.
  • Previous models primarily used memory-less (Markovian) quantum processes.
  • Understanding this transition is crucial for quantum mechanics and technology.

Purpose of the Study:

  • To investigate the quantum-to-classical transition using general non-Markovian memory processes.
  • To analyze how different reservoir influences affect quantum state evolution.
  • To identify conditions where the quantum-to-classical transition is altered or prevented.

Main Methods:

  • Studying quantum systems under general non-Markovian memory processes.
  • Analyzing the influence of various reservoirs on initial quantum states.
  • Examining four possible evolutionary scenarios: thermal, thermal-like, quantum steady, and oscillating quantum nonstationary states.

Main Results:

  • Non-Markovian memory processes lead to diverse quantum state evolutions.
  • Strong non-Markovian effects can maintain partial or full quantum coherence.
  • In specific scenarios (quantum steady and oscillating states), the quantum-to-classical transition is inhibited.

Conclusions:

  • The quantum-to-classical transition is not always inevitable, even with environmental influence.
  • Strong non-Markovian memory effects can preserve quantum coherence, leading to decoherence-free quantum oscillations.
  • This finding opens new possibilities for developing future quantum technologies by harnessing persistent quantum phenomena.