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Supersymmetric Quantum Mechanics and Solitons of the sine-Gordon and Nonlinear Schrödinger Equations
Andrew Koller, Maxim Olshanii
We present a case demonstrating the connection between supersymmetric quantum mechanics (SUSY--QM), reflectionless scattering, and soliton solutions of integrable partial different…
An Example of Quantum Anomaly in the Physics of Ultra-Cold Gases
Maxim Olshanii, Hélène Perrin, Vincent Lorent
In this article, we propose an experimental scheme for observation of a quantum anomaly---quantum-mechanical symmetry breaking---in a two-dimensional harmonically trapped Bose gas.…
Two simple systems with cold atoms: quantum chaos tests and nonequilibrium dynamics
Cavan Stone, Yassine Ait El Aoud, Vladimir A Yurovsky +1
This article is an attempt to provide a link between the quantum nonequilibrium dynamics of cold gases and fifty years of progress in the lowdimensional quantum chaos. We identify…
Restricted Thermalization for Two Interacting Atoms in a Multimode Harmonic Waveguide
V. A. Yurovsky, M. Olshanii
In this article, we study the thermalizability of a system consisting of two atoms in a circular, transversely harmonic waveguide in the multimode regime. While showing some signat…