Massive Goldstone (Higgs) mode in two-dimensional ultracold atomic lattice systems
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.
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).Attached Files
Published - PhysRevB.92.174521.pdf
Submitted - 1509.06828v2.pdf
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Additional details
- Eprint ID
- 62642
- Resolver ID
- CaltechAUTHORS:20151207-095321750
- NSF
- PHY-1314735
- Marie Curie Fellowship
- 321918
- European Research Council (ERC)
- 306897
- National Natural Science Foundation of China (NSFC)
- 11275185
- Chinese Academy of Sciences
- NKBRSFC
- 2011CB921300
- Air Force Office of Scientific Research (AFOSR)
- NSF
- PHY-1066293
- Created
-
2015-12-08Created 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