Magic entropy in hybrid spin-boson systems.

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.