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Stochastic mean-field dynamics for fermions in the weak coupling limit | Denis Lacroix
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6 Sep 2005 | Subject: | Quantum Physics; Strongly Correlated Electrons | quant-ph cond-mat.str-el nucl-th | Abstract: | Assuming that the effect of the residual interaction beyond mean-field is weak and can be treated as a statistical ensemble of two-body interactions, a Markovian quantum jump theory is developed for fermionic systems. In this theory, jumps occur between many-body densities formed of pairs of states $D= |Phi_a> $ where $|Phi_a>$ and $|Phi_b>$ are antisymmetrized products of single-particle states. The underlying Stochastic Mean-Field (SMF) theory is discussed and applied to the monopole vibration of a spherical $^{40}$Ca nucleus under the influence of a statistical ensemble of two-body contact interactions. In this example, the mean-field evolution of one-body observables is recovered by averaging over different stochastic trajectories while fluctuations beyond mean-field are observed. Finally, the nature of the fluctuations is discussed. | Source: | arXiv, quant-ph/0509038 | Services: | Forum | Review | PDF | Favorites |
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