Particle-Hole Character of the Higgs and Goldstone Modes in Strongly Interacting Lattice Bosons

M. Di Liberto, A. Recati, N. Trivedi, I. Carusotto, and C. Menotti
Phys. Rev. Lett. 120, 073201 – Published 15 February 2018

Abstract

We study the low-energy excitations of the Bose-Hubbard model in the strongly interacting superfluid phase using a Gutzwiller approach. We extract the single-particle and single-hole excitation amplitudes for each mode and report emergent mode-dependent particle-hole symmetry on specific arc-shaped lines in the phase diagram connecting the well-known Lorentz-invariant limits of the Bose-Hubbard model. By tracking the in-phase particle-hole symmetric oscillations of the order parameter, we provide an answer to the long-standing question about the fate of the pure amplitude Higgs mode away from the integer-density critical point. Furthermore, we point out that out-of-phase symmetric oscillations in the gapless Goldstone mode are responsible for a full suppression of the condensate density oscillations. Possible detection protocols are also discussed.

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  • Received 26 September 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.073201

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Di Liberto1,*, A. Recati1,2,†, N. Trivedi3, I. Carusotto1, and C. Menotti1

  • 1INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, 38123 Povo, Italy
  • 2Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 München, Germany
  • 3Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA

  • *mar.diliberto@gmail.com
  • alessio.recati@unitn.it

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Issue

Vol. 120, Iss. 7 — 16 February 2018

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