Abstract
The nonequilibrium variational-cluster approach is applied to study the real-time dynamics of the double occupancy in the one-dimensional Fermi-Hubbard model after different fast changes of hopping parameters. A simple reference system, consisting of isolated Hubbard dimers, is used to discuss different aspects of the numerical implementation of the approach in the general framework of nonequilibrium self-energy functional theory. Opposed to a direct solution of the Euler equation, its time derivative is found to serve as numerically tractable and stable conditional equation to fix the time-dependent variational parameters.
Highlights
Over the past decade, considerable progress in the field of ultracold gases has given access to experimentally simulating prototypical many-body models, e.g., known from condensed-matter physics, with a high degree of dynamic control [1,2,3]
The non-equilibrium variational-cluster approach is applied to study the real-time dynamics of the double occupancy in the one-dimensional Fermi-Hubbard model after different fast changes of hopping parameters
While the main theoretical concept is essentially the same as for the equilibrium variational-cluster approach (VCA), we demonstrate that the numerical implementation of the nonequilibrium variant of the approach is by far more complex and requires new techniques
Summary
Considerable progress in the field of ultracold gases has given access to experimentally simulating prototypical many-body models, e.g., known from condensed-matter physics, with a high degree of dynamic control [1,2,3]. The non-equilibrium variational-cluster approach is applied to study the real-time dynamics of the double occupancy in the one-dimensional Fermi-Hubbard model after different fast changes of hopping parameters.
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