Effective scaling approach to frictionless quantum quenches in trapped Bose gases

in trapped Bose gases

We study the dynamics of condensate formation in an inhomogeneous trapped Bose gas with a positive interatomic scattering length. We take into account both the nonequilibrium kinetics of the thermal cloud and the Hartree-Fock mean-field effects in the condensed and the noncondensed parts of the gas. We solve our equations numerically by assuming that the thermal component behaves ergodically an...

Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases

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A Scaling Approach to Ideal Quantum Gases

In this article we present a derivation of the thermal equations of state of ideal quantum gases by using solely dimensional analysis, thermodynamic considerations and simple physical arguments. The thermodynamic relations of gases depend strongly on the energymomentum relation of the gas particles and on their spin, i.e., whether the particles are fermions or bosons. The energy-momentum relati...

Superfluidity in Dilute Trapped Bose Gases

A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to twisted boundary conditions in a box. We are able to carry out this program in the case of a dilute interacting Bose gas in a trap. We prove that a gas with repulsive interactions is 100% superfluid in the dilute limit...

Bose-Einstein condensation in trapped atomic gases.