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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.…

Quantum Gases · Physics 2015-11-30 Longxiang Liu , Kun Chen , Youjin Deng , Manuel Endres , Lode Pollet , Nikolay Prokof'ev

By using variational wave functions and quantum Monte Carlo techniques, we investigate the interplay between electron-electron and electron-phonon interactions in the two-dimensional Hubbard-Holstein model. Here, the ground-state phase…

Strongly Correlated Electrons · Physics 2017-11-28 Seher Karakuzu , Luca F. Tocchio , Sandro Sorella , Federico Becca

The Higgs mechanism, i.e., spontaneous symmetry breaking of the quantum vacuum, is a cross-disciplinary principle, universal for understanding dark energy, antimatter and quantum materials, from superconductivity to magnetism. Yet, Higgs…

Experimental evidence of the Higgs mode in strongly interacting superfluid Fermi gases had not been observed until recently [Behrle et al., Nat. Phys. 14, 781 (2018)]. Due to the coupling with other collective modes and quasiparticle…

Quantum Gases · Physics 2023-03-02 Guitao Lyu , Kui-Tian Xi , Sukjin Yoon , Qijin Chen , Gentaro Watanabe

The Higgs amplitude mode in superconductors is the condensed matter analogy of Higgs bosons in particle physics. We investigate the time evolution of Higgs amplitude mode in massless Dirac systems, induced by a weak quench of an attractive…

Superconductivity · Physics 2020-07-31 Ming Lu , Haiwen Liu , Pei Wang , X. C. Xie

Superfluid 3He has a rich spectrum of collective modes with both massive and massless excitations. The masses of these modes can be precisely measured using acoustic spectroscopy and fit to theoretical models. Prior comparisons of the…

Superconductivity · Physics 2019-02-22 M. D. Nguyen , A. M. Zimmerman , W. P. Halperin

We report experimental evidences for the observation of the superconducting amplitude mode, so-called `Higgs' mode in the charge density wave superconductor 2H-NbSe2 using Raman scattering. By comparing 2H-NbSe2 and its iso-structural…

Superconductivity · Physics 2015-06-18 M. -A. Méasson , Y. Gallais , M. Cazayous , B. Clair , P. Rodière , L. Cario , A. Sacuto

The Higgs amplitude mode of the order parameter of an ultracold confined Fermi gas in the BCS regime after a quench of the coupling constant is analyzed theoretically. Characteristic features are a damped oscillation which at a certain…

Quantum Gases · Physics 2014-12-09 S. Hannibal , P. Kettmann , M. D. Croitoru , A. V. Vagov , V. M. Axt , T. Kuhn

We study the Higgs amplitude mode in the s-wave superfluid state on the honeycomb lattice inspired by recent cold atom experiments. We consider the attractive Hubbard model and focus on the vicinity of a quantum phase transition between…

Quantum Gases · Physics 2013-08-09 Shunji Tsuchiya , R. Ganesh , Tetsuro Nikuni

We study the excitation spectrum of strongly correlated lattice bosons for the Mott-insulating phase and for the superfluid phase close to localization. Within a Schwinger-boson mean-field approach we find two gapped modes in the Mott…

Other Condensed Matter · Physics 2007-05-23 S. D. Huber , E. Altman , H. P. Büchler , G. Blatter

Motivated by the recent observation of the time-reversal symmetry broken state in K-doped BaFe$_2$As$_2$ superconducting alloys, we theoretically study the collective modes and the short time dynamics of the superconducting state with…

Superconductivity · Physics 2018-08-01 Marvin A. Müller , Pengtao Shen , Maxim Dzero , Ilya Eremin

Spontaneous symmetry-breaking quantum phase transitions play an essential role in condensed matter physics. The collective excitations in the broken-symmetry phase near the quantum critical point can be characterized by fluctuations of…

The quest for new functionalities in quantum materials has recently been extended to non-equilibrium states, which are interesting both because they exhibit new physical phenomena and because of their potential for high-speed device…

A brief summary of collective mode excitations that can exist in singlet superconductors with irreducible representation $L$ is given. Such excitations may be classified as the coupled excitations of the charge density $\rho$ and the phase…

Superconductivity · Physics 2012-12-03 Yafis Barlas , C. M. Varma

The Anderson-Higgs mode in a superconductor corresponds to a collective and coherent oscillation of the order parameter amplitude. We propose to detect this mode in a tunnel Josephson junction between two singlet s-wave diffusive…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Pierre Vallet , Jérôme Cayssol

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-13 Philipp Werner , Andrew J. Millis

We investigate the critical behavior and the dynamics of the amplitude (Higgs) mode close to the superfluid-insulator quantum phase transition in an amorphous system (i.e., a system subject to topological randomness). In particular, we map…

Disordered Systems and Neural Networks · Physics 2024-10-11 Vishnu Pulloor Kuttanikkad , Martin Puschmann , Rajesh Narayanan , Thomas Vojta

Collective modes in two dimensional topological superconductors are studied by an extended random phase approximation theory while considering the influence of vector field of light. In two situations, the s-wave superconductors without…

Superconductivity · Physics 2019-05-07 Li Mao , Hongxing Xu

The Higgs mode associated with amplitude fluctuations of the superconducting gap in uniform superconductors usually is heavy, which makes its excitation and detection difficult. We report on the existence of a gapless Higgs mode in the…

Superconductivity · Physics 2022-10-28 Zhao Huang , C. S. Ting , Jian-Xin Zhu , Shi-Zeng Lin

In this paper we demonstrate the necessity of including the generally omitted collective mode contributions in calculations of the Meissner effect for non-uniform superconductors. We consider superconducting pairing with non-zero center of…

Superconductivity · Physics 2017-06-07 Rufus Boyack , Chien-Te Wu , Brandon M. Anderson , K. Levin