Journal
PHYSICAL REVIEW B
Volume 92, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.92.024305
Keywords
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Funding
- Deutsche Forschungsgemeinschaft [BA 4371/1-1]
- Institute for Quantum Information and Matter, an NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation
- NSF Grant [DMR-1308435]
- Harvard-MIT CUA
- DARPA OLE program
- AFOSR Quantum Simulation MURI
- AFOSR MURI on Ultracold Molecules
- ARO-MURI on Atomtronics
- ARO MURI Quism program
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1308435] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1125846] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1205635, 1205923] Funding Source: National Science Foundation
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We study the dynamics of magnetic correlations in the half-filled fermionic Hubbard model following a fast ramp of the repulsive interaction. We use Schwinger-Keldysh self-consistent second-order perturbation theory to investigate the evolution of single-particle Green's functions and solve the nonequilibrium Bethe-Salpeter equation to study the dynamics of magnetic correlations. This approach gives us new insights into the interplay between single-particle relaxation dynamics and the growth of antiferromagnetic correlations. Depending on the ramping time and the final value of the interaction, we find different dynamical behavior which we illustrate using a dynamical phase diagram. Of particular interest is the emergence of a transient short-range ordered regime characterized by the strong initial growth of antiferromagnetic correlations followed by a decay of correlations upon thermalization. The discussed phenomena can be probed in experiments with ultracold atoms in optical lattices.
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