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Topology detection in cavity QED.

Beatriz Pérez-González¹, Álvaro Gómez-León², Gloria Platero¹

¹Instituto de Ciencia de Materiales de Madrid, ICMM-CSIC, Calle Sor Juana Inés de la Cruz, n°3, 28049 Madrid, Spain. bperez03@ucm.es.

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|June 27, 2022

Summary

This summary is machine-generated.

We show how cavity transmission can detect topological phases in quantum systems. Initial state preparation is key for this quantum sensor, which works even at strong coupling.

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Area of Science:

Quantum physics
Condensed matter physics
Quantum optics

Background:

Topological lattice models exhibit unique properties protected by symmetry.
Circuit Quantum Electrodynamics (c-QED) architectures offer a platform for studying quantum phenomena.
Cavity transmission is a measurable quantity sensitive to the system's state.

Purpose of the Study:

To investigate topological lattice models within c-QED architectures.
To propose and analyze cavity transmission as a topological marker.
To explore the role of coupling strength and initial state preparation.

Main Methods:

Combining input-output formalism with Mean-Field plus fluctuations.
Studying a fermionic Su-Schrieffer-Heeger (SSH) chain coupled to a single-mode cavity.
Analyzing effective Hamiltonians and entanglement entropy.

Main Results:

Cavity transmission successfully acts as a quantum sensor for topological phases.
Initial state preparation critically influences the detection of topological properties.
Topological features persist at increased coupling strengths.

Conclusions:

Cavity transmission is a viable experimental observable for characterizing topological phases.
The developed approach is applicable to various fermionic systems.
This work provides a route for experimental verification of topological properties in c-QED systems.