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Dynamical instabilities and transient short-range order in the fermionic Hubbard model

Bauer, Johannes and Babadi, Mehrtash and Demler, Eugene (2015) Dynamical instabilities and transient short-range order in the fermionic Hubbard model. Physical Review B, 92 (2). Art. No. 024305. ISSN 1098-0121. doi:10.1103/PhysRevB.92.024305.

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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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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.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)BA 4371/1-1
Institute for Quantum Information and MatterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Issue or Number:2
Classification Code:PACS number(s): 71.30.+h, 71.27.+a, 71.10.Fd, 71.10.Hf
Record Number:CaltechAUTHORS:20150820-093909700
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Official Citation:Bauer, J., Babadi, M., & Demler, E. (2015). Dynamical instabilities and transient short-range order in the fermionic Hubbard model. Physical Review B, 92(2), 024305.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59782
Deposited On:21 Aug 2015 18:25
Last Modified:10 Nov 2021 22:25

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