Dynamical instabilities and transient short-range order in the fermionic Hubbard model
Abstract
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.
Additional Information
© 2015 American Physical Society. Received 10 December 2014; published 27 July 2015. We wish to thank E. dalla Torre, J. Freericks, S. Kehrein, M. Kollar, M. Knap, A. Millis, J. Han, A. Polkovnikov, M. Schiro, and P. Strack for insightful discussions. J.B. acknowledges financial support from the Deutsche Forschungsgemeinschaft through Grant No. BA 4371/1-1. M.B. was supported by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation. We also acknowledge support from NSF Grant No. DMR-1308435, Harvard-MIT CUA, DARPA OLE program, AFOSR Quantum Simulation MURI, AFOSR MURI on Ultracold Molecules, the ARO-MURI on Atomtronics, and ARO MURI Quism program.Attached Files
Published - PhysRevB.92.024305.pdf
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Additional details
- Eprint ID
- 59782
- Resolver ID
- CaltechAUTHORS:20150820-093909700
- Deutsche Forschungsgemeinschaft (DFG)
- BA 4371/1-1
- Institute for Quantum Information and Matter
- Gordon and Betty Moore Foundation
- NSF
- DMR-1308435
- Harvard-MIT CUA
- Defense Advanced Research Projects Agency (DARPA)
- Air Force Office of Scientific Research (AFOSR)
- NSF Physics Frontiers Center
- Army Research Office (ARO)
- Created
-
2015-08-21Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter