We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove that condensation persists at later times and we show quantitatively that the many-body Schrodinger dynamics is effectively described by a system of coupled cubic non-linear Schrodinger equations, one for each component.
Mean-field quantum dynamics for a mixture of Bose-Einstein condensates / Michelangeli, Alessandro; Olgiati, Alessandro. - In: ANALYSIS AND MATHEMATICAL PHYSICS. - ISSN 1664-2368. - 7:4(2017), pp. 377-416. [10.1007/s13324-016-0147-3]
Mean-field quantum dynamics for a mixture of Bose-Einstein condensates
Michelangeli, Alessandro;Olgiati, Alessandro
2017-01-01
Abstract
We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove that condensation persists at later times and we show quantitatively that the many-body Schrodinger dynamics is effectively described by a system of coupled cubic non-linear Schrodinger equations, one for each component.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
