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We developed an exact numerical method to simulate quantum systems interacting with their environment. This approach accurately models complex quantum devices and open quantum systems, overcoming limitations of previous methods.

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Area of Science:

  • Quantum Physics
  • Computational Physics
  • Condensed Matter Physics

Background:

  • Simulating realistic quantum devices requires modeling systems strongly coupled to their environment.
  • Current understanding of open quantum systems is limited to weak couplings or specific numerical methods.
  • Accurate simulation of non-Markovian quantum systems remains a significant challenge.

Purpose of the Study:

  • To present a general and exact numerical approach for simulating quantum systems coupled to non-Markovian harmonic environments.
  • To overcome the limitations of existing methods in describing strongly coupled open quantum systems.
  • To demonstrate a flexible numerical technique for complex quantum dynamics.

Main Methods:

  • Utilizing matrix product states and operators to represent the quantum system's state and propagator.
  • Employing singular value decomposition for efficient state compression during time evolution.
  • Developing an exact numerical simulation technique for non-Markovian quantum dynamics.

Main Results:

  • Successfully simulated the time evolution of quantum systems strongly coupled to non-Markovian harmonic environments.
  • Numerically identified the localisation transition in the Ohmic spin-boson model.
  • Analyzed a model of two spins in a common environment with disparate timescales.

Conclusions:

  • The presented numerical approach offers an exact and efficient method for simulating open quantum systems.
  • This technique provides a powerful tool for studying complex quantum phenomena, including localisation transitions.
  • The method is flexible and applicable to various quantum systems with non-Markovian environments.