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We explored quantum work statistics in many-body systems with initial coherence. Local quenches reveal quantum contextuality, unlike global quenches, highlighting coherence as a resource.

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Area of Science:

  • Quantum Many-Body Physics
  • Statistical Mechanics
  • Quantum Information Theory

Background:

  • Understanding work statistics in quantum systems with initial coherence is incomplete.
  • Work in such systems can be described by quasiprobability distributions.

Purpose of the Study:

  • To clarify genuinely quantum features of work done during parameter quenching.
  • To study work quasiprobability in an Ising model with a transverse field.

Main Methods:

  • Analysis of work quasiprobability distributions.
  • Consideration of both global and local quenches.
  • Focus on the thermodynamic limit.

Main Results:

  • Global quenches yield symmetric, noncontextual work distributions (Gaussian).
  • Local quenches exhibit quantum contextuality, indicated by a negative fourth work moment.
  • Critical features of quantum phase transitions were examined.

Conclusions:

  • Initial quantum coherence acts as a resource in quantum many-body systems.
  • Distinguishing global and local quench dynamics is crucial for understanding quantum features like contextuality.