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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

When a continuous symmetry of a physical system is spontaneously broken, two types of collective modes typically emerge: the amplitude and phase modes of the order-parameter fluctuation. For superconductors, the amplitude mode is recently…

Superconductivity · Physics 2020-03-19 Ryo Shimano , Naoto Tsuji

Despite the formal analogy with the Higgs particle, the amplitude fluctuations of the order parameter in weakly-coupled superconductors do not identify a real mode with a Lorentz-invariant dynamics. Indeed, its resonance occurs at…

Superconductivity · Physics 2015-11-03 T. Cea , C. Castellani , G. Seibold , L. Benfatto

The amplitude (Higgs) mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo (QMC) simulations with stochastic analytic continuation to investigate the dynamics of…

Strongly Correlated Electrons · Physics 2017-04-12 Yan Qi Qin , Bruce Normand , Anders Sandvik , Zi Yang Meng

Two-dimensional coherent spectroscopy (2DCS) provides insights into the nonlinear response of correlated lattice systems. We simulate multipulse excitations in the Hubbard model using nonequilibrium dynamical mean-field theory to extract…

Strongly Correlated Electrons · Physics 2025-05-01 Jiyu Chen , Naoto Tsuji , Philipp Werner

We show that the amplitude, or Higgs mode of a superconductor with strong spin-orbit coupling and an exchange field, couples linearly to the electromagnetic field. Furthermore, by coupling such a superconductor to an LC resonator, we…

Superconductivity · Physics 2025-02-10 Yao Lu , Stefan Ilić , Risto Ojajärvi , Tero T. Heikkilä , F. Sebastian Bergeret

In superconductors (SC), the Higgs amplitude mode is a coherent oscillation of the order parameter typically generated by THz laser irradiation. In this paper we propose to probe the Higgs mode using electronic transport in ballistic…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Pierre Vallet , Jérôme Cayssol

The proximity effect in hybrid superconducting - normal metal structures is shown to affect strongly the coherent oscillations of the superconducting order parameter $\Delta$ known as the Higgs modes. The standard Higgs mode at the…

Superconductivity · Physics 2019-09-18 V. L. Vadimov , I. M. Khaymovich , A. S. Mel'nikov

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

Collective modes in superconductors provided the first realization of the Higgs mechanism. The transverse Goldstone mode acquires a gap (i.e. a mass) when it hybridizes with the electromagnetic gauge field. The longitudinal Schmid-Higgs…

Superconductivity · Physics 2025-10-28 Maxim Dzero , Alex Kamenev

In this letter we present a coherent picture for the evolution of Higgs mode in both neutral and charged $s$-wave fermion superfluids, as the strength of attractive interaction between fermions increases from the BCS to the BEC regime. In…

Quantum Gases · Physics 2016-03-30 Boyang Liu , Hui Zhai , Shizhong Zhang

The amplitude (Higgs) mode near the two-dimensional superfluid-Mott glass quantum phase transition is studied. We map the Bose-Hubbard Hamiltonian of disordered interacting bosons onto an equivalent classical XY model in (2+1) dimensions…

Disordered Systems and Neural Networks · Physics 2021-07-19 Jack Crewse , Thomas Vojta

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

We study the Higgs mode of superfluid Bose gases in a three dimensional optical lattice, which emerges near the quantum phase transition to the Mott insulator at commensurate fillings. Specifically, we consider responses of the Higgs mode…

Quantum Gases · Physics 2018-05-25 Kazuma Nagao , Yoshiro Takahashi , Ippei Danshita

We present solid evidence for the existence of a well-defined Higgs amplitude mode in two-dimensional relativistic field theories based on analytically continued results from quantum Monte Carlo simulations of the Bose-Hubbard model in the…

Quantum Gases · Physics 2012-08-10 L. Pollet , N. V. Prokof'ev

The amplitude mode is a ubiquitous collective excitation in condensed matter systems with broken continuous symmetry. It is expected in antiferromagnets, short coherence length superconductors, charge density waves, and lattice Bose…

Superconductivity · Physics 2013-05-29 Daniel Podolsky , Assa Auerbach , Daniel P. Arovas

In quantum many-body systems with spontaneous breaking of continuous symmetries, Higgs modes emerge as collective amplitude oscillations of order parameters. Recently, Higgs mode has been observed in the ultracold Fermi gas. In the present…

Quantum Gases · Physics 2019-01-30 Jun Tokimoto , Shunji Tsuchiya , Tetsuro Nikuni

Using a state-of-the-art numerical scheme, we show that the Higgs mode under excitation exhibits chirped oscillations and exponential decay when fluctuations are included. This is in stark contrast to conventional BCS collisionless dynamics…

Superconductivity · Physics 2025-06-23 Thomas Blommel , Jason Kaye , Yuta Murakami , Emanuel Gull , Denis Golež

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

We study collective amplitude modes of the superconducting order parameter in strongly-coupled electron-phonon systems described by the Holstein model using the nonequilibrium dynamical mean-field theory with the self-consistent Migdal…

Superconductivity · Physics 2017-06-19 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki
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