Stochastic quantum dynamics beyond mean field

Mean-field approaches where a complex fermionic many-body problem is replaced by an ensemble of independent particles in a self-consistent mean field can describe many static and dynamical aspects. It generally provides a rather good approximation for the average properties of one-body degrees of fr...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2014, Vol.50 (6), Article 95
Main Authors: Lacroix, Denis, Ayik, Sakir
Format: Article
Language:English
Subjects:
Condensed Matter
Hadrons
Heavy Ions
Nuclear Fusion
Nuclear Physics
Nuclear Theory
Other
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum Physics
Review
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Summary:Mean-field approaches where a complex fermionic many-body problem is replaced by an ensemble of independent particles in a self-consistent mean field can describe many static and dynamical aspects. It generally provides a rather good approximation for the average properties of one-body degrees of freedom. However, the mean-field approximation generally fails to produce quantum fluctuations of collective motion. To overcome this difficulty, noise can be added to the mean-field theory leading to a stochastic description of the many-body problem. In the present work, we summarize recent progress in this field and discuss approaches where fluctuations have been added either to the initial time, like in the stochastic mean-field theory or continuously in time as in the stochastic time-dependent Hartree-Fock. In some cases, the initial problem can even be reformulated exactly by introducing Quantum Monte Carlo methods in real time. The possibility to describe superfluid systems is also invoked. Successes and shortcomings of the different beyond mean-field theories are discussed and illustrated.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2014-14095-8