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We present a generalized quasi-particle theory for bosonic lattice systems, which naturally contains all relevant collective modes, including the Higgs amplitude in the strongly correlated superfluid. In contrast to Bogoliubov theory, this…

Quantum Gases · Physics 2014-01-21 Ulf Bissbort , Michael Buchhold , Walter Hofstetter

The exchange of collective modes has been demonstrated to be a powerful tool for inducing superconductivity and superfluidity in various condensed matter and atomic systems. In this article, we study the mediated interactions of collective…

Quantum Gases · Physics 2024-03-19 Santiago Moroni-García , Arturo Camacho-Guardian

We study cavity-mediated interactions that are generated in a two-dimensional two-band Hubbard model coupled to an optical cavity, when it is driven in-gap by a strong laser. Starting from a Floquet description of the driven system, we…

Quantum Physics · Physics 2024-03-19 Xiao Wang , Dieter Jaksch , Frank Schlawin

Studies on out-of-equilibrium dynamics have paved a way to realize a new state of matter. Especially, superconductor-like properties above room temperatures recently suggested in copper oxides achieved by selectively exciting vibrational…

Superconductivity · Physics 2017-08-22 Kota Ido , Takahiro Ohgoe , Masatoshi Imada

For two two-level atoms coupled to a single-mode cavity field that is driven and heavily damped, the steady-state can be entangled by shining an un-modulated driving laser on the system [S.Schneider, G. J. Milburn Phys. Rev A 65, 042107,…

Quantum Physics · Physics 2009-11-10 Jin Wang , H. M. Wiseman , G. J. Milburn

Engineering long-range interacting spin systems with ultra cold atoms offers the possibility to explore exotic magnetically ordered phases in strongly-correlated scenarios. Quantum gases in optical cavities provide a versatile experimental…

We study the out-of-equilibrium dynamics of a BCS superconductor in the presence of a periodic drive with a frequency $\omega_d$ larger than the equilibrium superconducting gap and an external bath providing dissipation. Similar to the…

Superconductivity · Physics 2020-02-12 H. P. Ojeda Collado , Gonzalo Usaj , José Lorenzana , C. A. Balseiro

We consider the Higgs mode at nonzero momentum in superconductors and demonstrate that in the presence of Rashba spin-orbit coupling, it couples linearly with an external exchange field. The Higgs-spin coupling dramatically modifies the…

Superconductivity · Physics 2025-02-10 Yao Lu , Risto Ojajärvi , P. Virtanen , M. A. Silaev , Tero T. Heikkilä

Goldstone and Higgs modes have been detected in various condensed matter, cold atom and particle physics experiments. Here, we demonstrate that the two modes can also be observed in optical systems with only a few (artificial) atoms inside…

Quantum Physics · Physics 2013-12-13 Yi-Xiang Yu , Jinwu Ye , Wuming Liu

Superconductivity in graphene-based systems has recently attracted much attention, as either intrinsic behavior or induced by proximity to a superconductor may lead to interesting topological phases and symmetries of the pairing function. A…

Superconductivity · Physics 2022-04-13 Abdulrhman M. Alsharari , Sergio E. Ulloa

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…

In this paper, we have investigated theoretically the influence of atomic collisions on the behaviour of a one-dimensional Bose-Einstein condensate inside a driven optical cavity. We develop the discrete-mode approximation for the…

Quantum Physics · Physics 2013-01-22 A. Dalafi , M. H. Naderi , M. Soltanolkotabi , Sh. Barzanjeh

We theoretically analyze the collective modes in unconventional superconductors focusing on Bardasis-Schrieffer (BS) mode and its contribution to the third harmonic generation currents. Starting from a model with competing superconducting…

Superconductivity · Physics 2021-11-03 Marvin A. Müller , Ilya M. Eremin

We study the effect of strong electron-phonon interactions on the damping of the Higgs amplitude mode in superconductors by means of non-equilibrium dynamical mean-field simulations of the Holstein model. In contrast to the BCS dynamics, we…

Superconductivity · Physics 2016-09-21 Y. Murakami , P. Werner , N. Tsuji , H. Aoki

Superconductors exhibit a nonlinear interaction with an applied light, which can resonantly excite the collective amplitude (Higgs) mode. Here we study light-induced dynamics of layered superconductors, where each layer is coupled to…

Superconductivity · Physics 2025-02-19 Niklas Ziereis , Kazuaki Takasan , Naoto Tsuji

Strong optical drives have been shown to induce transient superconducting-like response in materials above their equilibrium $T_c$. Many of these materials already exhibit short-range superconducting correlations in equilibrium. This…

We develop an inhomogeneous quantum mean-field approach to the behavior of collective excitations across the superfluid-Mott glass quantum phase transition in two dimensions, complementing recent quantum Monte Carlo simulations [Phys. Rev.…

Strongly Correlated Electrons · Physics 2021-12-15 Martin Puschmann , João C. Getelina , José A. Hoyos , Thomas Vojta

In a superconductor electrons form pairs despite the Coulomb repulsion as a result of an effective attractive interaction mediated by, for example phonons. In the present paper DeGennes' description of the dynamically screened Coulomb…

Superconductivity · Physics 2025-03-13 Dirk van der Marel

We investigate the behavior of the Higgs (amplitude) mode when superconductivity emerges on a preexisting charge-density-wave state. We show that the weak overdamped square-root singularity of the amplitude fluctuations in a standard BCS…

Superconductivity · Physics 2015-02-09 T. Cea , L. Benfatto

We investigate a dilute Bose gas with both a short-range contact and an effective long-range interaction between the atoms. The latter is induced by the strong coupling to a cavity light mode and is spatially characterized by a periodic…

Quantum Gases · Physics 2025-09-08 Leon Mixa , Milan Radonjić , Axel Pelster , Michael Thorwart