Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
arXiv:2009.12554 · doi:10.1088/1361-6455/abd37f
Abstract
Solitons are ubiquitous phenomena that appear, among others, in the description of tsunami waves, fiber-optic communication and ultracold atomic gases. The latter systems turned out to be an excellent playground for investigations of matter-wave solitons in a quantum world. This Tutorial provides a general overview of the ultracold contact interacting Bose and Fermi systems in a one-dimensional space that can be described by the renowned Lieb-Liniger and Yang-Gaudin models. Both the quantum many-body systems are exactly solvable by means of the Bethe ansatz technique, granting us a possibility for investigations of quantum nature of solitonic excitations. We discuss in details a specific class of quantum many-body excited eigenstates called yrast states and show that they are strictly related to quantum dark solitons in the both considered Bose and Fermi systems.
arXiv comment60 pages, 37 figures, Tutorial on quantum solitons in exactly solvable many-body systems (The Version of Record is available online at https://doi.org/10.1088/1361-6455/abd37f)
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Cited by in corpus (14)
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Polaron-Depleton Transition in the Yrast Excitations of a One-Dimensional Bose Gas with a Mobile Impurity
- Classical and quantum metrology of the Lieb-Liniger model
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- Emergence of a Bose polaron in a small ring threaded by the Aharonov-Bohm flux
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- Single- to many-body crossover of a quantum carpet
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- Drag-induced dynamical formation of dark solitons in Bose mixture on a ring
- Dynamics of quantum double dark-solitons and an exact finite-size scaling of Bose-Einstein condensation