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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.
Physical Review Letters
|February 10, 2023
Summary
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.
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.
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