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We investigate the generation of phononic frequency combs arising from nonlinear coupling between Higgs-like and Goldstone-like phonon modes in hexagonal InMnO3. The Higgs-like mode, an infrared-active optical phonon, is resonantly driven…

Materials Science · Physics 2026-02-10 Murtaza Rangwala , Adarsh Ganesan

We employed femtosecond pump probe technique to investigate the dynamics of coherent optical phonons in iron garnet. A phenomenological symmetry-based consideration reveals that oscillations of the terahertz T2g mode are excited. Selective…

Higgs and Goldstone modes are possible collective modes of an order parameter upon spontaneously breaking a continuous symmetry. Whereas the low-energy Goldstone (phase) mode is always stable, additional symmetries are required to prevent…

Quantum Gases · Physics 2019-12-05 A. Behrle , T. Harrison , J. Kombe , K. Gao , M. Link , J. -S. Bernier , C. Kollath , M. Köhl

In crystalline solids the acoustic phonon is known to be the frequency-gapless Goldstone boson emerging from the spontaneous breaking of the continuous Galilean symmetry induced by the crystal lattice. It has also been described as the…

Statistical Mechanics · Physics 2019-10-22 Marco Vallone

Structural phase transitions described by Mexican hat potentials should in principle exhibit aspects of Higgs and Goldstone physics. Here, we investigate the relationship between the phonons that soften at such structural phase transitions…

Materials Science · Physics 2020-07-15 Q. N. Meier , A. Stucky , J. Teyssier , S. M. Griffin , D. van der Marel , N. A. Spaldin

The emergence of scalar Higgs-type amplitude modes in systems where symmetry is spontaneously broken has been a highly successful, paradigmatic description of phase transitions, with implications ranging from high-energy particle physics to…

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

Collective dynamics of many particle systems is tightly linked to their underlying symmetry and phase transitions. Higgs and Nambu-Goldstone modes are, respectively, collective amplitude and phase modes of the order parameter that are…

Superconductivity · Physics 2023-10-27 Naoto Tsuji , Ippei Danshita , Shunji Tsuchiya

We derive the collective low energy excitations of the quantum phase model of interacting lattice bosons within the superfluid state using a dynamical variational approach. We recover the well known sound (or Goldstone) mode and derive a…

Other Condensed Matter · Physics 2008-02-08 S. D. Huber , B. Theiler , E. Altman , G. Blatter

We consider the problem of Bose-Einstein condensed atoms, which are confined in a (quasi) one-dimensional toroidal potential. We focus on the case of an effective attractive interaction between the atoms. The formation of a localized blob…

Quantum Gases · Physics 2026-01-13 G. M. Kavoulakis

Below a continuous symmetry breaking phase transition, the relevant collective excitations are due to longitudinal and transverse fluctuations of the order parameter, which are referred to as Higgs and Goldstone modes, respectively. In…

Strongly Correlated Electrons · Physics 2025-04-29 Bryan T. Fichera , Ajesh Kumar , Baiqing Lv , Zongqi Shen , Karna Morey , Qian Song , Batyr Ilyas , Tianchuang Luo , Riccardo Comin , T. Senthil , Nuh Gedik

By studying the 2-dimensional Su-Schrieffer-Heeger-Bose-Hubbard model, we show the existence of topological Higgs amplitude modes in the strongly interacting superfluid phase. Using the slave boson approach, we find that, in the large…

Quantum Gases · Physics 2021-11-01 Junsen Wang , Youjin Deng , Wei Zheng

We theoretically investigate elementary excitations of dipolar quantum gases across the superfluid to supersolid phase transition in a toroidal trap. We show how decoupled first sound, second sound, and Higgs modes emerge by following their…

A massive Goldstone (MG) mode, often referred to as a Higgs amplitude mode, is a collective excitation that arises in a system involving spontaneous breaking of a continuous symmetry, along with a gapless Nambu-Goldstone mode. It has been…

Superconductivity · Physics 2018-11-07 Shunji Tsuchiya , Daisuke Yamamoto , Ryosuke Yoshii , Muneto Nitta

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

The coherent modulation of electronic and vibrational nonlinearities in atoms and molecular gases by intense few-cycle pulses has been used for high-harmonic generation in the soft X-ray and attosecond regime, as well as for Raman frequency…

Materials Science · Physics 2013-09-16 Muneaki Hase , Masayuki Katsuragawa , Anca Monia Constantinescu , Hrvoje Petek

Selective excitation of coherent high-amplitude vibrations of atoms in a solid can induce exotic nonequilibrium states, in which the character of interactions between electronic, magnetic and lattice degrees of freedom is considerably…

Materials Science · Physics 2020-12-08 A. A. Melnikov , Yu. G. Selivanov , S. V. Chekalin

Nonlinear processes involving frequency-mixing of light fields set the basis for ultrafast coherent spectroscopy of collective modes in solids. In certain semimetals and semiconductors, generation of coherent phonon modes can occur by a…

Goldstone modes are massless particles resulting from spontaneous symmetry breaking. Although such modes are found in elementary particle physics as well as in condensed matter systems like superfluid helium, superconductors and magnons -…

Materials Science · Physics 2018-01-17 A. Marthinsen , S. M. Griffin , M. Moreau , T. Grande , T. Tybell , S. M. Selbach
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