Integrability and deviations therefrom - Lecture 1

By Maxim Olchanyi

Appears in collection : 2024 - T1 - Quantum many-body systems out-of-equilibrium

Berry's billiard as a minimal model for a loss of memory of the initial conditions. Restoring the memory and Bethe Ansatz. Instances of integrability.

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Bibliography

  • Maxim Olshanii, Steven G. Jackson, An exactly solvable quantum four-body problem associated with the symmetries of an octacube, New J. Phys., 17, 105005 (2015).

  • Dmitry Yampolsky, N. L. Harshman, Vanja Dunjko, Zaijong Hwang, Maxim Olshanii, Quantum Chirikov criterion: Two particles in a box as a toy model for a quantum gas, SciPost Phys. 12, 035 (2022).

  • M. Olshanii, D. Deshommes, J. Torrents, M. Gonchenko, V. Dunjko, G. E. Astrakharchik, Triangular Gross-Pitaevskii breathers and Damski-Chandrasekhar shock waves, SciPost Phys. 10, 114 (2021).

  • Steven G. Jackson, Gregory E. Astrakharchik, Maxim Olshanii, Asymmetric Bethe Ansatz, arXiv:2311.15155 (2023).

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