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Jorge Tabanera-Bravo1, Juan M R Parrondo1, Massimiliano Esposito2

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Quantum maps model interactions in open quantum systems.
  • Collisional reservoirs introduce unique dynamics.
  • Thermalization is a key concept in understanding system equilibrium.

Purpose of the Study:

  • Introduce a class of quantum maps for collisional reservoirs.
  • Investigate the thermalization of quantum systems under specific conditions.
  • Model collisional reservoirs at equilibrium.

Main Methods:

  • Developed quantum maps describing collisional effects and dephasing.
  • Incorporated unitary evolution with random Poissonian times.
  • Utilized scattering theory to identify conditions for map emergence.

Main Results:

  • Quantum maps induce population transitions obeying detailed balance.
  • Coherences generated by maps initially prevent thermalization.
  • A combination of collisions and dephasing leads to system thermalization at low collision rates.

Conclusions:

  • The proposed model effectively describes thermalization in collisional reservoirs.
  • The interplay between collisions and dephasing is crucial for achieving equilibrium.
  • The findings provide a framework for understanding quantum systems interacting with their environment.