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Thermal Critical Dynamics from Equilibrium Quantum Fluctuations.

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Quantum fluctuations reveal singularities at thermal critical points, linking static and dynamic properties in quantum systems. This study extracts the dynamical exponent using equilibrium calculations without classical models.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Quantum fluctuations are crucial for understanding quantum systems.
  • Dynamical properties at finite-temperature transitions are often studied using classical models.
  • Extracting dynamical exponents typically requires simulating dynamics.

Purpose of the Study:

  • To demonstrate that quantum fluctuations exhibit a singularity at thermal critical points.
  • To show that the dynamical exponent can be extracted from static quantities.
  • To link static and dynamic properties in quantum systems at finite-temperature transitions.

Main Methods:

  • Utilizing quantum variance to capture quantum fluctuations.
  • Expressing quantum fluctuations via purely static quantities.
  • Performing equilibrium unbiased numerical calculations.

Main Results:

  • Quantum fluctuations display a singularity at thermal critical points.
  • The dynamical exponent (z) can be extracted from static quantities.
  • Static and dynamic properties remain linked in quantum systems at finite-temperature transitions.

Conclusions:

  • Quantum fluctuations provide a direct link between static and dynamic properties at finite-temperature transitions.
  • Equilibrium numerical calculations can determine the dynamical exponent without classical models.
  • This approach offers new insights into the critical dynamics of quantum systems.