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Many-body physics with ultracold gases
This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …
Finite-temperature models of Bose–Einstein condensation
The theoretical description of trapped weakly interacting Bose–Einstein condensates is
characterized by a large number of seemingly very different approaches which have been …
characterized by a large number of seemingly very different approaches which have been …
Two-dimensional Bose fluids: An atomic physics perspective
We give in this lecture an introduction to the physics of two-dimensional (2d) Bose gases.
We first discuss the properties of uniform, infinite 2d Bose fluids at non-zero temperature T …
We first discuss the properties of uniform, infinite 2d Bose fluids at non-zero temperature T …
Unitary gas in an isotropic harmonic trap: Symmetry properties and applications
We consider N atoms trapped in an isotropic harmonic potential, with s-wave interactions of
infinite scattering length. In the zero-range limit, we obtain several exact analytical results …
infinite scattering length. In the zero-range limit, we obtain several exact analytical results …
Universal ()-body bound states in planar atomic waveguides
Shallow heteronuclear trimers are predicted for mixtures of two atomic species strongly
trapped in a quasi-two-dimensional (2D) atomic waveguide. The binding energies are …
trapped in a quasi-two-dimensional (2D) atomic waveguide. The binding energies are …
Mean-field expansion in Bose–Einstein condensates with finite-range interactions
R Schützhold, M Uhlmann, Y Xu… - International Journal of …, 2006 - World Scientific
We present a formal derivation of the mean-field expansion for dilute Bose–Einstein
condensates with two-particle interaction potentials which are weak and finite-range, but …
condensates with two-particle interaction potentials which are weak and finite-range, but …
Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low-energy regime
I consider general interacting systems of quantum particles in one spatial dimension. These
consist of bosons or fermions, which can have any number of components, arbitrary spin, or …
consist of bosons or fermions, which can have any number of components, arbitrary spin, or …
Exact scaling transform for a unitary quantum gas in a time dependent harmonic potential
Y Castin - Comptes Rendus Physique, 2004 - Elsevier
A unitary quantum gas is a gas of quantum particles with a binary interaction of infinite
scattering length and negligible range. It has been produced in recent experiments with …
scattering length and negligible range. It has been produced in recent experiments with …
Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
Even though the one-dimensional contact interaction requires no regularization,
renormalization methods have been shown to improve the convergence of numerical …
renormalization methods have been shown to improve the convergence of numerical …
Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
We present universal relations for a two-dimensional Fermi gas with pairwise contact
interactions. The derivation of these relations is made possible by obtaining the explicit form …
interactions. The derivation of these relations is made possible by obtaining the explicit form …