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We study the collective excitations, i.e., the Goldstone (phase) mode and the Higgs (amplitude) mode, near the superfluid--Mott glass quantum phase transition in a two-dimensional system of disordered bosons. Using Monte Carlo simulations…

Disordered Systems and Neural Networks · Physics 2020-07-15 Martin Puschmann , Jack Crewse , Jose A. Hoyos , Thomas Vojta

We study disordered interacting bosons described by the Bose-Hubbard model with Gaussian-distributed random tunneling amplitudes. It is shown that the off-diagonal disorder induces a spin-glass-like ground state, characterized by randomly…

Quantum Gases · Physics 2018-04-18 A. M. Piekarska , T. K. Kopeć

Goldstone modes emerge associated with spontaneous breakdown of the continuous symmetry in the two-channel Kondo lattice, which describes strongly correlated f-electron systems with a non-Kramers doublet at each site. This paper derives the…

Strongly Correlated Electrons · Physics 2015-06-23 Shintaro Hoshino , Yoshio Kuramoto

In this article, we theoretically investigate the first- and second-order quantum dissipative phase transitions of a three-mode cavity with a Hubbard interaction. In both types, there is a mean-field limit cycle phase where the local…

Quantum Physics · Physics 2021-01-20 H. Alaeian , G. Giedke , I. Carusotto , R. Löw , T. Pfau

Entropic forces in classical many-body systems, e.g. colloidal suspensions, can lead to the formation of new phases. Quantum fluctuations can have similar effects: spin fluctuations drive the superfluidity of Helium-3 and a similar…

Strongly Correlated Electrons · Physics 2018-05-23 Andrew G. Green , Gareth Conduit , Frank Kruger

According to the Goldstone theorem the breaking of a continuous U(1) symmetry comes along with the existence of low-energy collective modes. In the context of superconductivity these excitations are related to the phase of the…

Superconductivity · Physics 2014-06-19 T. Cea , D. Bucheli , G. Seibold , L. Benfatto , J. Lorenzana , C. Castellani

Order-by-disorder, whereby fluctuations lift an accidental classical ground state degeneracy to stabilize a subset of ordered states, is a recurrent and prominent theme in the field of frustrated magnetism where magnetic moments are subject…

Strongly Correlated Electrons · Physics 2025-05-27 Alexander Hickey , Daniel Lozano-Gómez , Michel J. P. Gingras

A unique property of a dynamically generated quantum spin Hall state are Goldstone modes that correspond to the long-wavelength fluctuations of the spin-orbit coupling order parameter whose topological Skyrmion excitations carry charge…

Strongly Correlated Electrons · Physics 2021-05-26 Zhenjiu Wang , Yuhai Liu , Toshihiro Sato , Martin Hohenadler , Chong Wang , Wenan Guo , Fakher F. Assaad

Motivated by a realization of imbalanced Feshbach-resonant atomic Fermi gases, we formulate a low-energy theory of the Fulde-Ferrell and the Larkin-Ovchinnikov (LO) states and use it to analyze fluctuations, stability, and phase transitions…

Quantum Gases · Physics 2013-05-29 Leo Radzihovsky

Recent advances in cooling techniques make now possible the experimental study of quantum phase transitions, which are transitions near absolute zero temperature accessed by varying a control parameter. A paradigmatic example is the…

Quantum Gases · Physics 2019-02-20 M. Faccioli , L. Salasnich

The Goldstone theorem states that there should be a massless mode for each spontaneously broken symmetry generator. There is no such rotational mode in crystals, however superconducting quantum nematics should carry rotational Goldstone…

Strongly Correlated Electrons · Physics 2013-08-12 Aron J. Beekman , Kai Wu , Vladimir Cvetkovic , Jan Zaanen

We consider quantum phases of tightly-confined spin-2 bosons in an external field under the presence of rotationally-invariant interactions. Generalizing previous treatments, we show how this system can be mapped onto a quantum rotor model.…

Quantum Gases · Physics 2016-08-10 Matjaž Payrits , Ryan Barnett

For a driven-dissipative quantum many-body system prepared in a spontaneous broken-symmetry steady state, in addition to the Goldstone mode the soft fluctuation modes provide important insight into the system's dynamics. Using a microscopic…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 R. Binder , N. H. Kwong

While a specific kind of strange metal is increasingly found to be the "normal" states in a wide variety of unconventional superconductors, its microscopic origin is presently a hotly debated enigma. Using dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2018-06-26 Swagata Acharya , Mukul S. Laad , Nagamalleswararao Dasari , N. S. Vidhyadhiraja , Mark Jarrell , A Taraphder

Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found -- which have anyonic excitations. We study such systems away from commensuration, i.e. the ground state of an anyon gas…

Strongly Correlated Electrons · Physics 2013-11-13 Evelyn Tang , Xiao-Gang Wen

The current study is motivated by a difficulty to reconcile between particle number conservation and superconductivity. An alternative modeling, which is based on the hypothesis that disentanglement spontaneously ocuurs in quantum systems,…

Quantum Physics · Physics 2025-05-28 Eyal Buks

We investigate the amplitude (Higgs) mode associated with longitudinal fluctuations of the order parameter at the continuous spontaneous symmetry breaking phase transition. In quantum magnets, due to the fast decay of the amplitude mode…

Strongly Correlated Electrons · Physics 2021-06-09 Chengkang Zhou , Zheng Yan , Han-Qing Wu , Kai Sun , Oleg A. Starykh , Zi Yang Meng

Access to collective excitations lies at the heart of our understanding of quantum many-body systems. We study the Higgs and Goldstone modes in a supersolid quantum gas that is created by coupling a Bose-Einstein condensate symmetrically to…

Quantum Gases · Physics 2017-12-22 Julian Léonard , Andrea Morales , Philip Zupancic , Tobias Donner , Tilman Esslinger

We propose an experimental setup to probe the low-lying excitation modes of a parametrically oscillating planar cavity, in particular the soft Goldstone mode which appears as a consequence of the spontaneously broken U(1) symmetry of…

Other Condensed Matter · Physics 2007-05-23 Michiel Wouters , Iacopo Carusotto

Isolated islands in two-dimensional strongly-disordered and strongly-coupled superconductors become optically active inducing sub-gap collective excitations in the ac conductivity. Here, we investigate the fate of these excitations as a…

Superconductivity · Physics 2022-04-06 Bo Fan , Abhisek Samanta , Antonio M. García-García