Nonequilibrium dynamics of bosonic Mott insulators in an electric field
Abstract
We study the nonequilibrium dynamics of one-dimensional Mott-insulating bosons in the presence of a tunable effective electric field ε which takes the system across a quantum critical point separating a disordered and a translation symmetry broken ordered phase. We provide an exact numerical computation of the residual energy Q, the log fidelity F, the defect density D/L, and the order parameter correlation function for a linear-in-time variation of E with a rate v. We discuss the temporal and spatial variation of these quantities for a range of v and for finite system sizes as relevant to realistic experimental setups [ J. Simon et al. Nature (London) 472 307 (2011)]. We show that in finite-sized systems Q, F, and D obey Kibble-Zurek scaling, and suggest further experiments within this setup to test our theory.
Additional Information
© 2012 American Physical Society. Received 2 February 2012; published 16 March 2012. It is our pleasure to thank A. Polkovnikov for invaluable discussions. We acknowledge support from the Lee A. DuBridge fellowship (D.P.), IIAS, PCTS. K.S. thanks DST, India for support through Grant No. SR/S2/CMP-001/2009. M.K. acknowledges support from ARO Award W911NF-07- 1-0464 with funds from the DARPA OLE Program. D.P. and B.K.C. thank the Aspen Center for Physics for its hospitality.Attached Files
Published - Kolodrubetz2012p17776Phys_Rev_B.pdf
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Additional details
- Eprint ID
- 30099
- Resolver ID
- CaltechAUTHORS:20120416-101213766
- Lee A. DuBridge Fellowship
- SR/S2/CMP-001/2009
- DST (India)
- W911NF-07-1-0464
- Army Research Office (ARO)
- Defense Advanced Research Projects Agency (DARPA) OLE Program
- Created
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2012-04-17Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field