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Cavity QED models are analyzed in terms of field quadrature operators. We demonstrate that in such representation, the problem can be formulated in terms of effective gauge potentials. In this respect, it presents a completely new system in…

Quantum Physics · Physics 2009-07-02 Jonas Larson , Sergey Levin

A particular form of non-linear $\sigma$-model, having a global gauge invariance, is studied. The detailed discussion on current algebra structures reveals the non-abelian nature of the invariance, with {\it{field dependent structure…

High Energy Physics - Theory · Physics 2009-11-11 Subir Ghosh

Non-Abelian geometric phases form the foundation of fault-tolerant holonomic quantum computation. An "all-geometric" approach leveraging these phases enables robust unitary operations in condensed matter systems. Photonics, with rich…

Optics · Physics 2025-07-03 Youlve Chen , Jinlong Xiang , An He , Yikai Su , Ian H. White , Xuhan Guo

Asymptotically nonlocal field theories represent a sequence of higher-derivative theories whose limit point is a ghost-free, infinite-derivative theory. Here we extend this framework, developed previously in a theory of real scalar fields,…

High Energy Physics - Theory · Physics 2022-03-04 Jens Boos , Christopher D. Carone

Gauge field is essential for exploring novel phenomena in modern physics. However, it has not been realized in the recent breakthrough experiment about two-leg superconducting circuits with transmon qubits [Phys. Rev. Lett. 123, 050502…

Quantum Physics · Physics 2020-09-16 Xin Guan , Yanlin Feng , Zheng-Yuan Xue , Gang Chen , Suotang Jia

\emph{Effective} gauge fields arise in the description of the dynamics of defects in lattices of graphene in condensed matter. The interactions between neighboring nodes of a lattice/spin-network are described by the Hubbard model whose…

General Relativity and Quantum Cosmology · Physics 2013-09-04 Deepak Vaid

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

Topologically non-trivial gauge field configurations are an interesting aspect of non-abelian gauge theories. These become particularly important upon quantizing the theory, especially through their effect on the pseudo-scalar spectrum.…

High Energy Physics - Lattice · Physics 2014-11-07 Michael Creutz

Optical amplification is critical for optical signal transmission. While the emergence of erbium-doped fiber amplifiers has revolutionized optical communications in fiber-based systems, on-chip amplification remains essential for integrated…

We revisit the dynamics of the axial coupling between many N-flatons and an Abelian gauge field, with special attention to its statistically anisotropic signal. The anisotropic power spectrum of curvature perturbations associated to the…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-02 Federico R. Urban

Nanoelectronic devices embedded in the two-dimensional electron system (2DES) of a GaAs/AlGaAs heterostructure enable a large variety of applications from fundamental research to high speed transistors. Electrical circuits are thereby…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 N. Bachsoliani , S. Platonov , A. D. Wieck , S. Ludwig

We propose an experimental scheme to realize non-Abelian dynamical gauge field for ultracold fermions, which induces a novel pairing mechanism of topological superfluidity. The dynamical gauge fields arise from nontrivial interplay effect…

Quantum Gases · Physics 2023-09-27 Xin-Chi Zhou , Tian-Hua Yang , Zhi-Yuan Wang , Xiong-Jun Liu

We propose an approach to measure the quantum phase of an electron in a non-Abelian system using the algorithm of Quantum Phase Estimation (QPE). The discrete-path systems were previously studied in the context of square or rectangular…

Quantum Physics · Physics 2025-09-15 Seng Ghee Tan , Son-Hsien Chen , Ying-Cheng Yang , Yen-Fu Chen , Yen-Lin Chen , Chia-Hsiu Hsieh

We study abelianization of QCD in the maximally abelian (MA) gauge. In the MA gauge, the off-diagonal gluon amplitude is strongly suppressed, and then the off-diagonal gluon phase shows strong randomness, which leads to a large off-diagonal…

High Energy Physics - Lattice · Physics 2015-06-25 H. Suganuma , K. Amemiya , H. Ichie , N. Ishii , H. Matsufuru , T. T. Takahashi

In this paper we investigate a generation mechanism of the non-Abelian gauge fields in the SU(N) gauge theory. It is shown that the SU(N) gauge fields ensuring the local invariance of the theory are generated at the quantum level only due…

High Energy Physics - Theory · Physics 2011-07-19 P. I. Fomin , T. Yu. Kuzmenko

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

High Energy Physics - Theory · Physics 2009-11-07 Grigorii B. Pivovarov , James P. Vary

We establish a non-Abelian superconductivity and a non-Abelian Meissner effect by constructing an effective field theory of superconductivity in which a genuine SU(2) gauge symmetry governs the dynamics. We show that the magnetic flux is…

Superconductivity · Physics 2011-07-19 Y. M. Cho

A quantum system constrained to a degenerate energy eigenspace can undergo a nontrival time evolution upon adiabatic driving, described by a non-Abelian Berry phase. This type of dynamics may provide logical gates in quantum computing that…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Baksa Kolok , András Pályi

The Landau levels of cold atomic gases in non-Abelian gauge fields are analyzed. In particular we identify effects on the energy spectrum and density distribution which are purely due to the non-Abelian character of the fields. We…

Other Condensed Matter · Physics 2009-11-13 A. Jacob , P. Ohberg , G. Juzeliunas , L. Santos

We compute the amplitude of the non-Gaussianities in inflationary models with multiple, uncoupled scalar fields. This calculation thus applies to all models of assisted inflation, including N-flation, where inflation is driven by multiple…

Astrophysics · Physics 2010-10-27 Thorsten Battefeld , Richard Easther