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Noise representations of open system dynamics.

Piotr Szańkowski1, Łukasz Cywiński2

  • 1Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668, Warsaw, Poland. piotr.szankowski@ifpan.edu.pl.

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Summary
This summary is machine-generated.

We investigate simulating quantum system dynamics using external noisy fields as surrogates for environmental interactions. An objective surrogate field, determined by the environment, can universally simulate dynamics for any system, offering a classical representation.

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Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Statistical physics

Background:

  • Simulating complex quantum systems interacting with their environment is a significant challenge.
  • Understanding the role of environmental degrees of freedom in quantum dynamics is crucial for quantum technologies.

Purpose of the Study:

  • To determine the conditions under which an external noisy field can accurately simulate the dynamics of a quantum system coupled to an environment.
  • To classify surrogate fields as either subjective or objective and analyze their simulation capabilities.
  • To establish criteria for the existence and properties of objective surrogate fields and their relationship to environmental characteristics.

Main Methods:

  • Theoretical analysis of open quantum system dynamics.
  • Classification of surrogate fields based on their universality.
  • Formulation of criteria for the existence of objective surrogate fields.
  • Investigation of the classical nature and entanglement properties of objective surrogates.

Main Results:

  • Identified two types of surrogate fields: subjective (system-specific) and objective (universal).
  • Demonstrated that the environment exclusively determines the existence and properties of an objective surrogate field.
  • Established a sufficient criterion for environments that can facilitate an objective surrogate.
  • Identified specific environment types satisfying this criterion.

Conclusions:

  • Objective surrogate fields provide a universal and potentially classical method for simulating open quantum system dynamics.
  • The environment's properties are key to enabling universal simulation via objective surrogates.
  • The objective surrogate representation offers insights into system-environment entanglement and back-action effects.