Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes
arXiv:2303.16221 · doi:10.1103/PRXQuantum.4.030308
Abstract
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.
12 pages, 9 figures
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- Heat-transfer fingerprint of Josephson breathers
- Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
- Effects of correlated noise on the excitation of robust breathers in an ac-driven, lossy sine-Gordon system
- Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
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- Measurement of total phase fluctuation in cold-atomic quantum simulators
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- Sine-Gordon model at finite temperature: the method of random surfaces
- Anomalous charge transport in the sine-Gordon model
- Observation of sine-Gordon-like solitons in a spinor Bose-Einstein condensate
- Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics
- Fractionalized Prethermalization in the One-Dimensional Hubbard Model