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Updated: Jan 20, 2026

Calcium Imaging in Freely Behaving Caenorhabditis elegans with Well-Controlled, Nonlocalized Vibration

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Nonlocal Josephson Effect in Andreev Molecules.

J-D Pillet^1,2, V Benzoni¹, J Griesmar¹

¹Φ0, JEIP, USR 3573 CNRS , Collège de France, PSL University , 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France.

|August 30, 2019

Summary

This summary is machine-generated.

We introduce the Andreev molecule, an artificial quantum system of coupled Josephson junctions. This system exhibits nonlocal supercurrent control, enabling novel quantum applications.

Keywords:

Andreev bound states Josephson junction Superconductivity quantum information superconducting circuits

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Area of Science:

Quantum physics
Condensed matter physics
Artificial quantum systems

Background:

Josephson junctions are key components in superconducting electronics.
Understanding quantum coupling in artificial systems is crucial for technological advancement.

Purpose of the Study:

To propose and theoretically describe the Andreev molecule, a novel artificial quantum system.
To explore the unique coupling mechanism and consequences of hybridized Andreev Bound States.

Main Methods:

Utilizing the Bogolubov-de-Gennes formalism.
Deriving the energy spectrum and nonlocal current-phase relations.
Analyzing the hybridization of Andreev Bound States.

Main Results:

Demonstrated nonlocal supercurrent dependence between coupled Josephson junctions.
Derived the energy spectrum and nonlocal current-phase relation for arbitrary separations.
Showcased the potential for creating a phi-junction.

Conclusions:

The Andreev molecule offers a new platform for quantum phenomena.
Potential applications include quantum information processing, metrology, and sensing.
Experimental verification of the predicted nonlocal effects is proposed.