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Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
Zu-Jian Ying1, Simone Felicetti2, Gang Liu1
1School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China.
Entropy (Basel, Switzerland)
|July 27, 2022
Summary
The quantum Rabi model with nonlinear coupling offers enhanced quantum metrology. This approach achieves higher precision measurements at finite frequencies, outperforming linear coupling methods.
Area of Science:
- Quantum physics
- Quantum optics
- Condensed matter physics
Background:
- The quantum Rabi model (QRM) describes light-matter interaction.
- Linear coupling in QRM shows a second-order phase transition at zero frequency, enabling criticality-enhanced quantum metrology.
- This transition leads to a detrimental slowing-down effect near the critical point.
Purpose of the Study:
- To investigate the quantum Rabi model with nonlinear coupling.
- To explore enhanced measurement precision using nonlinear coupling.
- To assess the potential of the modified QRM as a quantum sensor.
Main Methods:
- Theoretical analysis of the quantum Rabi model with a nonlinear coupling term.
- Investigation of phase transitions at finite frequencies.
- Inclusion of a bias term in the Hamiltonian.
Main Results:
- Nonlinear coupling in QRM induces a first-order-like phase transition at finite frequency.
- This transition leads to significantly higher measurement precisions compared to the linear QRM.
- The system avoids the slowing-down effect near the critical point.
- Addition of a bias term enables applications as a fluxmeter or magnetometer.
Conclusions:
- Nonlinear coupling in the QRM provides a pathway to enhanced quantum metrology with higher precision.
- The developed model offers a practical advantage by operating at finite frequencies, avoiding critical slowing down.
- The modified QRM with a bias term shows promise for quantum sensing applications in circuit QED platforms.
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