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Closed-System Solution of the 1D Atom from Collision Model.

Maria Maffei1, Patrice A Camati1, Alexia Auffèves1

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We present a new method to track the quantum wavefunction evolution of a qubit interacting with a light field. This approach is key for quantum computation and communication applications.

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collision modelinput–output formalismopen quantum systemsquantum entanglementquantum non-Markovian dynamicsquantum opticsquantum thermodynamicsrepeated interaction modelwaveguide quantum electrodynamics

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Area of Science:

  • Quantum physics
  • Quantum optics
  • Quantum information science

Background:

  • Understanding quantum system dynamics is crucial for quantum technologies.
  • Interactions between light and matter are fundamental to quantum mechanics.
  • Previous models often treated these systems as isolated.

Purpose of the Study:

  • To develop a method for calculating the total wavefunction evolution of a qubit-field system.
  • To explore quantum energetics and thermodynamics in interacting systems.
  • To provide insights for quantum computation and communication.

Main Methods:

  • Modeling a two-level atom (qubit) coupled to a one-dimensional chiral waveguide.
  • Employing a collision model for sequential, local interactions between temporal field modes and the qubit.
  • Solving the dynamics to obtain the total wavefunction of the coupled system.

Main Results:

  • Successfully obtained the total wavefunction evolution for the qubit-field system.
  • The method accurately describes the system's dynamics starting from coherent or single-photon states.
  • The approach is general and applicable to various initial field states.

Conclusions:

  • The collision model provides an effective way to study the dynamics of light-matter interactions.
  • This work offers a pathway to understanding complex quantum phenomena.
  • The developed method has potential applications in quantum information processing.