Quantum Simulation Meets Nonequilibrium Dynamical Mean-Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model.

@article{Sandholzer2019QuantumSM,
  title={Quantum Simulation Meets Nonequilibrium Dynamical Mean-Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model.},
  author={Kilian Sandholzer and Yuta Murakami and Frederik G{\"o}rg and Joaqu'in Minguzzi and Michaela Messer and R{\'e}mi Desbuquois and Martin Eckstein and Philipp Werner and Tilman Esslinger},
  journal={Physical review letters},
  year={2019},
  volume={123 19},
  pages={
          193602
        }
}
We perform an ab initio comparison between nonequilibrium dynamical mean-field theory and optical lattice experiments by studying the time evolution of double occupations in the periodically driven Fermi-Hubbard model. For off-resonant driving, the range of validity of a description in terms of an effective static Hamiltonian is determined and its breakdown due to energy absorption close to resonance is demonstrated. For near-resonant driving, we investigate the response to a change in driving… 

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References

SHOWING 1-10 OF 111 REFERENCES

Nonequilibrium dynamical mean-field calculations based on the noncrossing approximation and its generalizations

We solve the impurity problem which arises within nonequilibrium dynamical mean-field theory for the Hubbard model by means of a self-consistent perturbation expansion around the atomic limit. While

Floquet Dynamics in Driven Fermi-Hubbard Systems.

TLDR
It is shown that driving a hexagonal lattice compared to a simple cubic lattice allows us to modulate the system up to 1 s, corresponding to hundreds of tunneling times, with only minor atom loss.

Resonant Thermalization of Periodically Driven Strongly Correlated Electrons.

TLDR
The dynamics of the Fermi-Hubbard model driven by a time-periodic modulation of the interaction within nonequilibrium dynamical mean-field theory are studied and the existence of a critical frequency at which the system rapidly thermalizes despite the large interaction is shown.

Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields.

TLDR
The Schrieffer-Wolff transformation is applied to the periodically driven, strongly interacting Fermi-Hubbard model, for which it is identified two regimes resulting in different effective low-energy Hamiltonians.

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.

Dynamical control of matter-wave tunneling in periodic potentials.

TLDR
Measurements of dynamical suppression of interwell tunneling of a Bose-Einstein condensate (BEC) in a strongly driven optical lattice show that the strong shaking does not destroy the phase coherence of the BEC, opening up the possibility of realizing quantum phase transitions by using the shaking strength as the control parameter.

Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms.

TLDR
The experimental implementation of tunable occupation-dependent tunneling in a Bose-Hubbard system of ultracold atoms via time-periodic modulation of the on-site interaction energy is reported, finding that the tunneling rate explicitly depends on the atom number difference in neighboring lattice sites.

Competition of spin and charge excitations in the one-dimensional Hubbard model

Motivated by recent experiments with ultracold fermionic atoms in optical lattices, we study finite temperature magnetic correlations, as singlet and triplet correlations, and the double occupancy in

Nonequilibrium dynamical mean-field theory.

TLDR
The many-body formalism for dynamical mean-field theory is extended to treat nonequilibrium problems by examining the transient decay of the oscillating current that is driven by a large electric field turned on at time t=0.

Nonequilibrium dynamical mean-field theory and its applications

The study of nonequilibrium phenomena in correlated lattice systems has developed into one of the most active and exciting branches of condensed matter physics. This research field provides rich new
...