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Open Quantum System Dynamics from Infinite Tensor Network Contraction.

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This summary is machine-generated.

This study introduces an efficient matrix product operator (MPO) method for simulating non-Markovian open quantum systems with strong coupling. This approach significantly speeds up computations and enables exploration of steady-state physics.

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Area of Science:

  • Quantum Physics
  • Computational Chemistry
  • Condensed Matter Physics

Background:

  • Simulating long-time dynamics of non-Markovian open quantum systems with strong coupling is computationally challenging.
  • Existing methods often rely on complex representations like process tensors and tensor networks.

Purpose of the Study:

  • To develop a computationally efficient method for simulating non-Markovian open quantum systems.
  • To enable the exploration of steady-state physics in strongly coupled systems.

Main Methods:

  • Utilizing infinite matrix product operator (MPO) evolution methods for efficient tensor network contraction.
  • Applying the method to Gaussian environments for optimal performance.

Main Results:

  • Achieved significant computational speed-up compared to existing proposals.
  • Demonstrated that the MPO evolution automatically generates auxiliary degrees of freedom.
  • Obtained a propagator in semigroup form, suitable for steady-state analysis.

Conclusions:

  • The proposed MPO approach offers a powerful and efficient tool for studying complex quantum systems.
  • This method opens new avenues for investigating phenomena like phase transitions in open quantum systems.