Defect production by pure phase twist injection as Aharonov-Bohm effect

Area of Science:

• Quantum physics
• Condensed matter physics
• Mathematical physics

Background:

• The Gross-Pitaevskii equation (GPE) describes Bose-Einstein condensates.
• Phase defects are crucial topological structures in superfluids.
• The Aharonov-Bohm effect typically involves charged particles and magnetic fields.

Purpose of the Study:

• To demonstrate the creation of new phase defects in GPE via pure phase twist injection.
• To provide an analytical proof for this phenomenon using established physical principles.
• To propose an experimental verification using Bose-Einstein condensates.

Main Methods:

• Analytical proof using Fermi-Walker transport.
• Application of the Biot-Savart induction law.
• Derivation of the dispersion relation from phase twist superposition.

Main Results:

• New phase defects are generated through an Aharonov-Bohm effect from phase twist injection.
• The phenomenon is consistent with the hydrodynamic interpretation of GPE.
• The production of defects signifies a topological change in the system's linking number.

Conclusions:

• The Aharonov-Bohm effect can manifest in GPE through phase twists, creating new defects.
• This provides a novel method for defect generation in superfluids.
• The proposed experiment could validate the findings and explore applications in science and technology.