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Area of Science:

  • Quantum Physics
  • Computational Chemistry
  • Quantum Information Science

Background:

  • The stochastic Schrödinger equation (SSE) is crucial for simulating open quantum systems.
  • Standard SSE models typically assume white-noise environments, limiting applicability to systems with correlated noise.

Purpose of the Study:

  • To investigate a colored-noise extension of the SSE using an Ornstein-Uhlenbeck (OU) noise drive.
  • To benchmark the ensemble-averaged dynamics of the colored-noise SSE against standard white-noise SSE and fluctuating OU Hamiltonians.
  • To develop an effective master equation for colored-noise quantum dynamics.

Main Methods:

  • Formulation of a colored-noise stochastic Schrödinger equation (SSE) with an Ornstein-Uhlenbeck (OU) noise drive.
  • Analysis of ensemble-averaged dynamics and comparison with white-noise SSE and fluctuating OU Hamiltonians.
  • Development of an effective correlated noise and its SSE unraveling for open-form quantum master equations.
  • Introduction of a Redfield-inspired perturbative closure for correlation terms.

Main Results:

  • Averaging pure-state trajectories with finite environmental correlation times yields non-Lindblad, yet positive, master equations.
  • The averaged dissipator decomposes into a Lindblad part and correlation terms from OU Hamiltonian fluctuations.
  • A Redfield-inspired closure provides an effective master equation for the colored SSE.
  • Simulations for a two-level system reveal long-lived coherences, non-trivial stationary states, and multi-timescale relaxation.

Conclusions:

  • The colored-noise SSE provides a robust framework for simulating open quantum systems with correlated environments.
  • The developed effective master equation captures complex dynamics beyond the standard Lindblad approach.
  • The findings offer new avenues for understanding and controlling quantum dynamics in realistic environments, relevant for quantum technologies.