The fate of quantum shock waves at late times
arXiv:1908.06522 · doi:10.1103/PhysRevB.100.235125
Abstract
Shock waves are an ubiquitous feature of hydrodynamic theories. Given that fermionic quantum many-body systems admit hydrodynamical descriptions on length scales large compared to the Fermi wavelength, it is natural to ask what the status of shock waves is in such systems. Free fermions provide a solvable yet non-trivial example, and here we generalise to include generic (non-integrable) weak interactions to understand how a shock wave decays and changes its shape well after forming.
arXiv comment10 pages, 4 figures
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- Quantum fluctuating theory for one-dimensional shock waves
- Fate of the "vacuum point'' and of grey solitons in dispersive quantum shock waves in a one-dimensional Bose gas
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