Solitons in the sine-Gordon model

Our theoretical study on the sine-Gordon model was published in PRX Quantum!

March 30, 2023
The creation of solitons in coupled Bose-Hubbard chains. Top: The soliton can be created by applying a chemical-potential gradient between the two chains in one half of the system. Bottom: The resulting profile of the mean local current for one soliton.

The sine-Gordon model emerges as a low-energy theory in a plethora of quantum many-body systems. Here, we theoretically investigate tunnel-coupled Bose-Hubbard chains with strong repulsive interactions as a realization of the sine-Gordon model deep in the quantum regime. We propose protocols for quantum gas microscopes of ultracold atoms to prepare and analyze solitons, that are the fundamental topological excitations of the emergent sine-Gordon theory. With numerical simulations based on matrix product states we characterize the preparation and detection protocols and discuss the experimental requirements.



 

Original publication:
Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes
Elisabeth Wybo, Alvise Bastianello, Monika Aidelsburger, Immanuel Bloch, Michael Knap,
PRX Quantum 4, 030308 (2023)

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