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This study introduces a framework to explore exceptional points (EPs) in non-Markovian open quantum systems. It reveals new EPs inaccessible in the Markovian limit using advanced numerical methods.

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Area of Science:

  • Quantum Physics
  • Non-Hermitian Systems
  • Open Quantum Systems

Background:

  • Exceptional points (EPs) are spectral singularities in non-Hermitian operators where eigenvalues and eigenvectors merge.
  • Open quantum systems are studied as testbeds for EPs due to their inherent non-Hermitian nature.
  • Current research primarily focuses on the Markovian limit, neglecting non-Markovian dynamics.

Purpose of the Study:

  • To bridge the understanding gap of EPs in the non-Markovian regime.
  • To propose a general framework for analyzing non-Markovian dynamics and EP identification.
  • To uncover novel or higher-order EPs beyond the Markovian approximation.

Main Methods:

  • Development of a general framework for non-Markovian dynamics.
  • Utilizing numerically exact methods: pseudomode equation of motion (PMEOM) and hierarchical equations of motion (HEOM).
  • Incorporating non-Markovian effects via auxiliary degrees of freedom.

Main Results:

  • The framework successfully incorporates non-Markovian effects.
  • Discovery of additional or higher-order EPs not observable in the Markovian regime.
  • Demonstrated utility using the spin-boson model and linear bosonic systems.

Conclusions:

  • The proposed framework provides a robust method for studying EPs in non-Markovian open quantum systems.
  • The PMEOM offers a Lindblad-type structure beneficial for EP identification.
  • This work expands the understanding of EPs by revealing phenomena unique to non-Markovian dynamics.