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Massive Goldstone (Higgs) mode in two-dimensional ultracold atomic lattice systems

Liu, Longxiang and Chen, Kun and Deng, Youjin and Endres, Manuel and Pollet, Lode and Prokof'ev, Nikolay (2015) Massive Goldstone (Higgs) mode in two-dimensional ultracold atomic lattice systems. Physical Review B, 92 (17). Art. No. 174521. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20151207-095321750

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Abstract

We discuss how to reveal the massive Goldstone mode, often referred to as the Higgs amplitude mode, near the superfluid-to-insulator quantum critical point (QCP) in a system of two-dimensional ultracold bosonic atoms in optical lattices. The spectral function of the amplitude response is obtained by analytic continuation of the kinetic energy correlation function calculated by Monte Carlo methods. Our results enable a direct comparison with the recent experiment [M. Endres, T. Fukuhara, D. Pekker, M. Cheneau, P. Schauß, C. Gross, E. Demler, S. Kuhr, and I. Bloch, Nature (London) 487, 454 (2012)] and demonstrate a good agreement for temperature shifts induced by lattice modulation. Based on our numerical analysis, we formulate the necessary conditions in terms of homogeneity, detuning from the QCP and temperature in order to reveal the massive Goldstone resonance peak in spectral functions experimentally. We also propose to apply a local modulation at the trap center to overcome the inhomogeneous broadening caused by the parabolic trap confinement.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.92.174521DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.174521PublisherArticle
http://arxiv.org/abs/1509.06828arXivDiscussion Paper
Additional Information:© 2015 American Physical Society. Received 22 September 2015; published 18 November 2015. KC thanks Yukawa Institute for Theoretical Physics at Kyoto University, where some of this work was done during the YITP-W-14-02 program on “Higgs Modes in Condensed Matter and Quantum Gases.” ME acknowledges support from the Harvard Quantum Optics Center. We also thank Immanuel Bloch, Andrey S. Mishchenko, Yuan Huang, Takeshi Fukuhara, and Yoshiro Takahashi for valuable discussions. This work was supported in part by the National Science Foundation under Grant No. PHY-1314735, FP7/Marie-Curie Grant No. 321918 (“FDIAGMC”), FP7/ERC Starting Grant No. 306897 (“QUSIMGAS”), NNSFC Grant No. 11275185, CAS, NKBRSFC Grant No. 2011CB921300 and AFOSR/DoD MURI “Advanced Quantum Materials: A New Frontier for Ultracold Atoms” program. We also thank the hospitality of the Aspen Center for Physics (NSF Grant No. 1066293).
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
NSFPHY-1314735
Marie-Curie Grant321918
European Research Council (ERC)306897
National Natural Science Foundation of China (NSFC)11275185
Chinese Academy of SciencesUNSPECIFIED
NKBRSFC2011CB921300
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
NSF1066293
Classification Code:PACS number(s): 05.30.Jp, 74.20.De, 74.25.nd, 75.10.−b
Record Number:CaltechAUTHORS:20151207-095321750
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20151207-095321750
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62642
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Dec 2015 17:10
Last Modified:08 Dec 2015 18:55

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