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Exact few-body results for strongly correlated quantum gases in two dimensions

Physics – Condensed Matter – Quantum Gases
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Exact ground state properties of the one-dimensional Coulomb gas

Physics – Condensed Matter – Quantum Gases
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Exact methods in analysis of nonequilibrium dynamics of integrable models: application to the study of correlation functions in nonequilibrium 1D Bose gas

Physics – Condensed Matter – Quantum Gases
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Exact nonlinear Bloch-state solutions for Bose-Einstein condensates in a periodic array of quantum wells

Physics – Condensed Matter – Quantum Gases
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Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice

Physics – Condensed Matter – Quantum Gases
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Exact quantum dynamics of a bosonic Josephson junction

Physics – Condensed Matter – Quantum Gases
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Exact relations for quantum-mechanical few-body and many-body problems with short-range interactions in two and three dimensions

Physics – Condensed Matter – Quantum Gases
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Exact relaxation dynamics of a localized many-body state in the 1D bose gas

Physics – Condensed Matter – Quantum Gases
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Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State

Physics – Condensed Matter – Quantum Gases
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Exact results on the two-particle Green's function of a Bose-Einstein condensate

Physics – Condensed Matter – Quantum Gases
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Exact Soliton-like Solutions of the Radial Gross-Pitaevskii Equation

Physics – Condensed Matter – Quantum Gases
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Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions

Physics – Condensed Matter – Quantum Gases
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Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture

Physics – Condensed Matter – Quantum Gases
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Exact Solution of Bogoliubov Equations for Bosons in One-Dimensional Piecewise Constant Potential

Physics – Condensed Matter – Quantum Gases
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Exact solution of the Bose-Hubbard model on the Bethe lattice

Physics – Condensed Matter – Quantum Gases
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Exact solution of the three-boson problem at vanishing energy

Physics – Condensed Matter – Quantum Gases
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Exact solutions and stability of rotating dipolar Bose-Einstein condensates in the Thomas-Fermi limit

Physics – Condensed Matter – Quantum Gases
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Exact solutions to the four Goldstone modes around a dark soliton of the nonlinear Schroedinger equation

Physics – Condensed Matter – Quantum Gases
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Exact three-body local correlations for excited states of the 1D Bose gas

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Exact Tkachenko modes and their damping in the vortex lattice regime of rapidly rotating bosons

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