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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Magical thinking encompasses the belief in assumptions that defy logical reasoning yet appear intuitively convincing. It is a common psychological phenomenon that persists across various cultural and individual contexts. While these assumptions contradict empirical evidence and scientific laws, they often serve meaningful psychological roles in promoting emotional resilience and a sense of control, especially under stress or uncertainty.Thought-Action Fusion and the Law of SimilarityA key...
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Magic entropy in hybrid spin-boson systems.

Samuel Crew1, Ying-Lin Li1, Heng-Hsi Li1

  • 1Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan.

Reports on Progress in Physics. Physical Society (Great Britain)
|February 3, 2026
PubMed
Summary
This summary is machine-generated.

We developed new entropic measures to quantify non-classical resources in hybrid quantum systems. These measures detect phase transitions and track quantum magic dynamics in models like the Dicke and Jaynes-Cummings models.

Keywords:
Dicke modelJaynes–Cummings modelquantum dynamicsquantum magicquantum resource theoryspin-boson models

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Condensed Matter Physics

Background:

  • Hybrid quantum systems, combining discrete (spin) and continuous (bosonic) degrees of freedom, are crucial for quantum technologies.
  • Quantifying non-classical resources, such as quantum magic, is essential for understanding and harnessing quantum phenomena.
  • Existing entropic measures may not fully capture the intricate interplay of quantum resources in hybrid systems.

Purpose of the Study:

  • Introduce novel entropic measures to quantify non-classical resources in hybrid spin-boson systems.
  • Define hybrid magic entropy and mutual magic entropy to characterize quantum magic distribution.
  • Demonstrate the utility of these measures in analyzing key quantum phenomena.

Main Methods:

  • Utilize the framework of phase space quantization.
  • Define stabilizer Renyi entropy and analogous hybrid magic and mutual magic entropies.
  • Develop a Monte Carlo numerical scheme for evaluating entropic measures in many-body systems.

Main Results:

  • Successfully quantify non-classical resources in hybrid spin-boson systems.
  • Demonstrate the detection of the superradiant phase transition in the Dicke model using the proposed entropies.
  • Analyze the quantum dynamics of magic in the Jaynes-Cummings model.

Conclusions:

  • The developed entropic measures provide a powerful tool for characterizing quantum magic in hybrid systems.
  • These measures offer new insights into quantum phase transitions and dynamics.
  • The Monte Carlo scheme enables practical application to complex interacting many-body systems.