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Updated: Sep 3, 2025
09:42
Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
Published on: August 8, 2025
290
Simulating the Dicke lattice model and quantum phase transitions using an array of coupled resonators
Si-Yun Leng1, Dong-Yan Lü1, Shuang-Liang Yang1
1School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, People's Republic of China.
Summary
This study proposes simulating the Dicke-Lattice model using a hybrid quantum system. Mechanical resonators and Bose-Einstein condensates are controlled to manipulate quantum phase transitions via spin-phonon interactions.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum optics
Background:
- The Dicke model describes collective light-matter interactions.
- Simulating complex quantum models is crucial for quantum technologies.
- Hybrid quantum systems offer novel platforms for quantum simulation.
Purpose of the Study:
- To propose a novel method for simulating the Dicke-Lattice model.
- To explore quantum phase transitions in a mechanics-controlled hybrid quantum system.
- To investigate the manipulation of collective spin behaviors using mechanical methods.
Main Methods:
- Utilizing an array of coupled mechanical resonators (MRs) interacting with trapped Bose-Einstein condensates (BECs).
- Employing gradient magnetic fields induced by oscillating resonators for homogeneous interaction.
- Mimicking Dicke-type spin-phonon interactions using classical radio-wave fields.
Main Results:
- The proposed system extends to a lattice of Dicke models with phonon-phonon hopping.
- Quantum phase transitions can be controlled by periodic phonon-phonon interactions in momentum space.
- Demonstrates the feasibility of manipulating critical behaviors of collective spins.
Conclusions:
- The study presents a viable approach for Dicke-Lattice model simulation.
- This work offers a new avenue for controlling quantum phase transitions mechanically.
- Highlights the potential of hybrid quantum systems in quantum simulation and control.
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