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Critical Phenomena in Light-Matter Systems with Collective Matter Interactions
Ricardo Herrera Romero1, Miguel Angel Bastarrachea-Magnani1, Román Linares1
1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Av. Ferrocarril San Rafael Atlixco 186, C.P. 09310, Ciudad de México 09340, Mexico.
Entropy (Basel, Switzerland)
|September 23, 2022
Summary
This study explores quantum phase transitions in a generalized Dicke model with qubit interactions. It reveals a complex phase diagram and new quantum critical phenomena arising from these interactions.
Area of Science:
- Quantum physics
- Condensed matter theory
- Quantum optics
Background:
- The Dicke model describes light-matter interactions, crucial for understanding quantum phenomena.
- Quantum phase transitions (QPT) and excited-state quantum phase transitions (ESQPT) are key to studying critical phenomena.
- Investigating collective qubit-qubit interactions extends the standard Dicke model.
Purpose of the Study:
- To analyze the quantum phase diagram of a generalized Dicke model with qubit-qubit interactions.
- To identify quantum phase transitions (QPT) and excited-state quantum phase transitions (ESQPT) within this model.
- To explore the impact of collective qubit interactions on quantum criticality.
Main Methods:
- Utilizing semiclassical techniques to analyze classical energy surfaces and fixed points.
- Examining the Density of States as a function of Hamiltonian parameters.
- Mapping quantum phase transitions based on model parameters.
Main Results:
- Unveiling a rich and complex quantum phase diagram.
- Identifying new quantum phases and transitions driven by qubit-qubit interactions.
- Discovering a correspondence between phases induced by qubit interactions and those from light-matter coupling variations.
Conclusions:
- Collective qubit-qubit interactions significantly enrich the phase diagram and quantum critical behavior.
- The findings provide a framework for exploring quantum criticality in systems with coupled matter-matter and light-matter interactions.
- This research stimulates further investigation into complex quantum systems.
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