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We theoretically investigate coherent optical excitations of collective modes in two-band BCS superconductors, which accommodate two Higgs modes and one Leggett mode corresponding, respectively, to the amplitude and relative-phase…

Superconductivity · Physics 2017-03-06 Yuta Murotani , Naoto Tsuji , Hideo Aoki

The condensation of excitons, bound electron-hole pairs in a solid, into a coherent collective electronic state was predicted over 50 years ago. Perhaps surprisingly, the phenomenon was first observed in a system consisting of two…

Mesoscale and Nanoscale Physics · Physics 2013-06-05 J. P. Eisenstein

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

Motivated by the dramatic success of realizing cavity exciton-polariton condensation in experiment we consider the formation of polaritons from cavity photons and the amplitude or Higgs mode of a superconductor. Enabled by the recently…

Superconductivity · Physics 2020-02-19 Zachary M. Raines , Andrew A. Allocca , Mohammad Hafezi , Victor M. Galitski

The order parameter and its variations in space and time in many different states in condensed matter physics at low temperatures are described by the complex function $\Psi({\bf r}, t)$. These states include superfluids, superconductors,…

Superconductivity · Physics 2015-02-10 David Pekker , C. M. Varma

We present a theory of bilayer two-dimensional electron systems that host a spatially indirect exciton condensate when in thermal equilibrium. Equilibrium bilayer exciton condensates (BXCs) are expected to form when two nearby semiconductor…

Mesoscale and Nanoscale Physics · Physics 2017-01-31 Feng-Cheng Wu , Fei Xue , A. H. MacDonald

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 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

A theoretical model is developed for treating super conductive Bose-Einstein condensation (BEC) effects for excitons in planar systems, under the condition that many excitons are included in a surface area, with the dimensions of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Y. Ben-Aryeh

Starting from the tight-binding dielectric matrix in the random phase approximation we examine the collective modes and electron-hole excitations in a two-band electronic system. For long wavelengths (${\bf q}\rightarrow0$), for which most…

Condensed Matter · Physics 2009-10-28 P. Zupanovic , A. Bjelis , S. Barisic

The issue of confinement and bose condensation is studied for gauge models of high-Tc superconductors. First the Abelian-Higgs model in (2+1)D, i.e., XY-model coupled to lattice gauge field $a_{\mu}$ with coupling $g$, is studied taking…

Strongly Correlated Electrons · Physics 2008-11-26 Naoto Nagaosa , Patrick A. Lee

The Higgs mode corresponds to the collective motion of particles due to the vibrations of an invisible field. It plays a fundamental role for our understanding of both low and high energy physics, giving elementary particles their mass and…

Quantum Gases · Physics 2014-09-03 Georg M. Bruun

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…

Supersolids formed from dipolar Bose-Einstein condensates (BECs) exhibit spontaneous density modulation while maintaining global phase coherence. This state of matter supports gapped amplitude (Higgs) excitations featuring a quadratic…

We study the ground-state properties of a quasi-two-dimensional Bose-Einstein condensate of indirect excitons, which are confined in an anisotropic harmonic potential. Incorporating the interactions, we calculate the order parameter…

Condensed Matter · Physics 2007-05-23 G. M. Kavoulakis

Excitons are electron-hole (e-h) pair quasiparticles, which may form a Bose-Einstein condensate (BEC) and collapse into the phase coherent state at low temperature. However, because of ephemeral strength of pairing, a clear evidence for BEC…

Mesoscale and Nanoscale Physics · Physics 2017-11-03 Min-Kyu Joo , Youngjo Jin , Byoung Hee Moon , Hyun Kim , Sanghyub Lee , Young Hee Lee

We study collective modes near the quantum critical point of a pair-density-wave (PDW) superconductor in 2+1 dimensions. The fate of gaps of various collective modes is investigated by functional renormalization. For incommensurate PDW…

Strongly Correlated Electrons · Physics 2020-01-13 Shao-Kai Jian , Michael M. Scherer , Hong Yao

Composite Higgs Models explore the possibility that the Higgs boson is an excitation of a new strongly interacting sector giving rise to electro-weak symmetry breaking. After describing how this new sector can be embedded into the Standard…

High Energy Physics - Lattice · Physics 2019-04-16 Oliver Witzel

Spontaneous symmetry breaking plays a key role in our understanding of nature. In a relativistic field theory, a broken continuous symmetry leads to the emergence of two types of fundamental excitations: massless Nambu-Goldstone modes and a…

The bound electron-hole pairs known as excitons govern the optical properties of insulating solids. While their behavior in equilibrium is well-understood theoretically, the nonequilibrium regime at high excitation densities-where phenomena…

Mesoscale and Nanoscale Physics · Physics 2025-10-31 Pushpendra Yadav