Two Nambu-Goldstone zero modes for rotating Bose-Einstein condensates
arXiv:2109.04648 · doi:10.1103/PhysRevA.104.L061301
Abstract
We consider rotating finite size vortex arrays in Bose-Einstein condensates that are confined by cylindrically symmetric external potentials. We show that such systems possess two exact Nambu-Goldstone zero modes associated with two spontaneously broken continuous symmetries of the system. We verify our analytical result via direct numerical diagonalizations of the Bogoliubov-de Gennes equations. We conclude by comparing rotating vortex lattices in superfluids to supersolids and discrete time crystals.
6 pages, 3 figures
References in corpus (13)
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Amplitude / Higgs Modes in Condensed Matter Physics
- The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
- Two-dimensional supersolidity in a dipolar quantum gas
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein Condensates
- Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
- Quasi-Nambu-Goldstone modes in nonrelativistic systems
- Collective dynamics of vortices in trapped Bose-Einstein condensates
Cited by in corpus (3)
- Equatorial Waves in Rotating Bubble-Trapped Superfluids
- Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
- Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator