A simple and very flexible variational approach to the out-of-equilibrium quantum dynamics in strongly correlated electron systems is introduced through a time-dependent Gutzwiller wave function. As an application, we study the simple case of a sudden change of the interaction in the fermionic Hubbard model and find at the mean-field level an extremely rich behavior. In particular, a dynamical transition between small and large quantum quench regimes is found to occur at half-filling, in accordance with the analysis of Eckstein et al., Phys. Rev. Lett. 103, 056403 (2009), obtained by dynamical mean-field theory, that turns into a crossover at any finite doping.

Time-Dependent Mean Field Theory for Quench Dynamics in Correlated Electron Systems / Schiro, M.; Fabrizio, M.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 105:7(2010), pp. 1-4. [10.1103/PhysRevLett.105.076401]

Time-Dependent Mean Field Theory for Quench Dynamics in Correlated Electron Systems

Schiro, M.;Fabrizio, M.
2010-01-01

Abstract

A simple and very flexible variational approach to the out-of-equilibrium quantum dynamics in strongly correlated electron systems is introduced through a time-dependent Gutzwiller wave function. As an application, we study the simple case of a sudden change of the interaction in the fermionic Hubbard model and find at the mean-field level an extremely rich behavior. In particular, a dynamical transition between small and large quantum quench regimes is found to occur at half-filling, in accordance with the analysis of Eckstein et al., Phys. Rev. Lett. 103, 056403 (2009), obtained by dynamical mean-field theory, that turns into a crossover at any finite doping.
2010
105
7
1
4
0706401
https://arxiv.org/abs/1005.0992
Schiro, M.; Fabrizio, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13512
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