Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-09-06
Phys.Rev.A73:013618,2006
Physics
Condensed Matter
Other Condensed Matter
9 pages
Scientific paper
10.1103/PhysRevA.73.013618
The exact quantum state evolution of a fermionic gas with binary interactions is obtained as the stochastic average of BCS-state trajectories. We find the most general Ito stochastic equations which reproduce exactly the dynamics of the system and we obtain some conditions to minimize the stochastic spreading of the trajectories in the Hilbert space. The relation between the optimized equations and mean-field equations is analyzed. The method is applied to a simple two-site model. The simulations display effects that cannot be obtained in the mean-field approximation.
Castin Yvan
Montina Alberto
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