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Learn more. Quantum dynamics in strongly correlated systems are of high current interest in many fields including dense plasmas, nuclear matter and condensed matter and ultracold atoms. An important model case are fermions in lattice systems that is well suited to analyze, in detail, a variety of electronic and magnetic properties of strongly correlated solids. Such systems have recently been reproduced with fermionic atoms in optical lattices which allow for a very accurate experimental analysis of the dynamics and of transport processes such as diffusion.
The only accurate method that has been successful so far are density matrix renormalization group DMRG simulations.
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Extension of quantum dynamics simulations to two and three dimensions is commonly viewed as one of the major challenges in this field. Recently we have reported a breakthrough in this area [N. B ] where we were able to simulate the expansion dynamics of strongly correlated fermions in a Hubbard lattice following a quench of the confinement potential in 1D, 2D and 3D.
The method used in this work are nonequilibrium Green functions NEGF which are found to be very powerful in the treatment of fermionic lattice systems filling the gap presently left open by DMRG in 2D and 3D. In this paper we present a detailed introduction in the NEGF approach and its application to inhomogeneous Hubbard clusters. This has been the basis for the treatment of more than particles over large time intervals.
The numerical results presented in this paper concentrate on the diffusion in 1D to 3D lattices.
In the long time limit, a universal scaling with the particle number is revealed. By extrapolating the expansion velocities to the macroscopic limit, the obtained results show excellent agreement with recent experiments on ultracold fermions in optical lattices. The Monster Bookshop is an online bookshop established in is committed to offering great savings on used and new books.
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- Schwinger-Keldysh formalism. Part II: thermal equivariant cohomology - INSPIRE-HEP.
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Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction
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