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Quantum Phase Transitions for an Integrable Quantum Rabi-like Model with Two Interacting Qubits.

R Grimaudo1, A S Magalhães de Castro2, A Messina3

  • 1Department of Physics and Chemistry "Emilio Segrè", University of Palermo, viale delle Scienze, Building 18, I-90128, Palermo, Italy.

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Summary
This summary is machine-generated.

This study reveals that a two-qubit quantum model simplifies to independent single-qubit models, proving its integrability. This reveals quantum phase transitions characterized by magnetization, photon number, and entanglement changes.

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Area of Science:

  • Quantum physics
  • Quantum information theory
  • Condensed matter physics

Background:

  • The quantum Rabi model is a fundamental model in quantum optics and condensed matter physics.
  • Understanding interacting qubit systems is crucial for quantum computing and simulation.
  • Investigating models with vanishing transverse fields presents unique theoretical challenges.

Purpose of the Study:

  • To analyze a two-interacting-qubit quantum Rabi-like model with vanishing transverse fields.
  • To determine the model's integrability and phase transition properties.
  • To establish a connection between spin-spin coupling and effective transverse fields.

Main Methods:

  • Exact and unitary transformation of the two-qubit model to independent single-spin quantum Rabi models.
  • Analytical treatment of the reduced single-spin quantum Rabi model.
  • Characterization of quantum phase transitions using thermodynamic and entanglement measures.

Main Results:

  • The two-interacting-qubit model is shown to be exactly solvable and integrable, regardless of the coupling regime.
  • Spin-spin coupling effectively acts as a transverse field in the reduced single-spin models.
  • First-order quantum phase transitions are identified, marked by discontinuities in two-spin magnetization, mean photon number, and concurrence.

Conclusions:

  • The presented model offers a new perspective on quantum integrability in multi-qubit systems.
  • The findings provide insights into the nature of quantum phase transitions in exactly solvable models.
  • This work contributes to the theoretical framework for understanding complex quantum phenomena.