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Kibble and Zurek have provided a unifying causal picture for the appearance of topological defects like cosmic strings or vortices at the onset of phase transitions in relativistic QFT and condensed matter systems respectively. There is no…

Condensed Matter · Physics 2007-05-23 R. J. Rivers , E. Kavoussanaki , G. Karra

In these lectures we review the constraints on particle physics models arising from cosmic defects. This includes constraints on theories where stable cosmic string loops, or vortons result. These can arise in supersymmetric theories. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. C. Davis

Point defects play a crucial role in crystalline materials as they do not only impact the thermodynamic properties but are also central to kinetic processes. While they are necessary in thermodynamic equilibrium spontaneous defect formation…

Materials Science · Physics 2020-08-03 Erik Fransson , Paul Erhart

The crossing of a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We characterize the spatial distribution of point-like topological defects in the…

Statistical Mechanics · Physics 2022-10-14 Adolfo del Campo , Fernando Javier Gómez-Ruiz , Hai-Qing Zhang

Kibble and Zurek have provided a unifying causal picture for the appearance of classical defects like cosmic strings or vortices at the onset of phase transitions in relativistic QFT and condensed matter systems respectively. In condensed…

High Energy Physics - Phenomenology · Physics 2011-04-20 R. J. Rivers

The main theme of this review is the many-body physics of vortices in quantum droplets of bosons or fermions, in the limit of small particle numbers. Systems of interest include cold atoms in traps as well as electrons confined in quantum…

Quantum Gases · Physics 2011-09-29 H. Saarikoski , S. M. Reimann , A. Harju , M. Manninen

When two or more energy bands become degenerate at a singular point in the momentum space, such singularity, or ``Dirac points", gives rise to intriguing quantum phenomena as well as unusual material properties. Systems at the Dirac points…

Quantum Gases · Physics 2025-09-09 Yunda Li , Wei Han , Zengming Meng , Wenxin Yang , Cheng Chin , Jing Zhang

A quantum-field approach to studying the Bose systems at finite temperatures and in states with spontaneously broken symmetry, in particular in a superfluid state, is proposed. A generalized model of a self-consistent field (SCF) for…

Statistical Mechanics · Physics 2013-06-11 Yu. M. Poluektov

It has recently been suggested that black holes may be described as condensates of weakly interacting gravitons at a critical point, exhibiting strong quantum effects. In this paper, we study a model system of attractive bosons in one…

High Energy Physics - Theory · Physics 2013-04-10 D. Flassig , A. Pritzel , N. Wintergerst

Discrete symmetries are spatially ubiquitous but are often hidden in internal states of systems where they can have especially profound consequences. In this work we create and verify exotic magnetic phases of atomic spinor Bose-Einstein…

Quantum Gases · Physics 2022-08-11 Y. Xiao , M. O. Borgh , A. A. Blinova , T. Ollikainen , J. Ruostekoski , D. S. Hall

Defects are a useful tool in the study of quantum field theories. This is illustrated in the example of two-dimensional conformal field theories. We describe how defect lines and their junction points appear in the description of symmetries…

Mathematical Physics · Physics 2017-08-23 Jürg Fröhlich , Jürgen Fuchs , Ingo Runkel , Christoph Schweigert

A classical dielectric moving in a charged capacitor can create a magnetic field (Roentgen effect). A quantum dielectric, however, will not produce a magnetization, except at vortices. The magnetic field outside the quantum dielectric…

Soft Condensed Matter · Physics 2009-10-31 U. Leonhardt , P. Piwnicki

By the application of $\phi$-mapping topological theory, the properties of vortices in quantum R\"ontgen effect is thoroughly studied. The explicit expression of the vorticity is obtained, wherein which the $\delta$ function indicates that…

Other Condensed Matter · Physics 2007-05-23 Yi-Shi Duan , Ru-Nan Huang

Motivated by the study of cosmological phase transitions, our understanding of the formation of topological defects during spontaneous symmetry-breaking and the associated non-equilibrium field theory has recently changed. Experiments have…

Condensed Matter · Physics 2009-10-28 A. J. Gill , T. W. B. Kibble

Impurities are ubiquitous in condensed matter. Boundary Conformal Field Theory (BCFT) provides a powerful method to study a localized quantum impurity interacting with a gapless continuum of excitations. The results can also be implied to…

Strongly Correlated Electrons · Physics 2009-12-24 Ian Affleck

Embedded defects proposed long ago (Z-vortices and Nambu monopoles) have been successfully searched for in 3D equilibrium lattice studies within the standard model near the electroweak phase transition and the crossover (which follows it…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. N. Chernodub , F. V. Gubarev , E. -M. Ilgenfritz , A. Schiller

Extended objects (defects) in Quantum Field Theory exhibit rich, nontrivial dynamics describing a variety of physical phenomena. These systems often involve strong coupling at long distances, where the bulk and defects interact, making…

High Energy Physics - Theory · Physics 2025-03-14 Andrea Antinucci , Christian Copetti , Giovanni Galati , Giovanni Rizi

We find a novel topological defect in a spin-nematic superfluid theoretically. A quantized vortex spontaneously breaks its axisymmetry, leading to an elliptic vortex in nematic-spin Bose-Einstein condensates with small positive quadratic…

Quantum Gases · Physics 2021-05-14 Hiromitsu Takeuchi

We introduce a framework for internal topological symmetries in quantum field theory, including "noninvertible symmetries" and "categorical symmetries". This leads to a calculus of topological defects which takes full advantage of…

High Energy Physics - Theory · Physics 2024-08-01 Daniel S. Freed , Gregory W. Moore , Constantin Teleman

In this Letter we study discrete symmetries of mean field manifolds of condensates of F=2 cold atoms, and various unconventional quantum vortices. Discrete quaternion symmetries result in two species of spin defects that can only appear in…

Other Condensed Matter · Physics 2008-11-26 Gordon W. Semenoff , Fei Zhou