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Topological Quantum Field Theories (TQFTs) pertinent to some emergent low energy phenomena of condensed matter lattice models in 2+1 and 3+1D are explored. Many of our field theories are highly-interacting without free quadratic analogs.…

Strongly Correlated Electrons · Physics 2018-06-04 Pavel Putrov , Juven Wang , Shing-Tung Yau

Two-dimensional colloidal suspensions exposed to periodic external fields exhibit a variety of molecular crystalline phases. There two or more colloids assemble at lattice sites of potential minima to build new structural entities, referred…

Soft Condensed Matter · Physics 2009-11-11 Andreja Sarlah , Erwin Frey , Thomas Franosch

We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter…

High Energy Physics - Theory · Physics 2025-03-13 Thomas Hertog , Gabriele Tartaglino-Mazzucchelli , Thomas Van Riet , Victoria Venken

Magnetic spin topological textures recently found their electrical counterparts in polar topologies emerging from the condensation of inhomogeneous polar atomic distortions. Here, we further extend the concept to other non-polar atomic…

Materials Science · Physics 2025-10-10 Fernando Gómez-Ortiz , Louis Bastogne , Philippe Ghosez

We study the uniform solutions to the one-dimensional spinor Bose-Einstein condensates on a ring. These states explicitly display the associated motion of the super-current and the spin rotation, which give rise to fractional winding…

Quantum Gases · Physics 2015-06-15 Yong-Kai Liu , Shi-Jie Yang

The ground-state phases of a spin-orbit (SO) coupled atomic spin-2 Bose-Einstein condensate (BEC) are studied. Interesting density patterns spontaneously formed are widespread due to the competition between SO coupling and spin-dependent…

Quantum Gases · Physics 2011-05-04 Z. F. Xu , R. Lü , L. You

Higher-order topological insulators are newly proposed topological phases of matter, whose bulk topology manifests as localized modes at two- or higher-dimensional lower boundaries. In this work, we propose the twisted bilayer graphenes…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Moon Jip Park , Youngkuk Kim , Gil Young Cho , SungBin Lee

We show that metastable phases of an antiferromagnetic spin-1 condensate in a simple model with pure contact interactions can exhibit a rotonlike minimum in the excitation spectrum. The introduction of magnetic field gives rise to the…

Quantum Gases · Physics 2012-08-30 Michal Matuszewski

We study random plane partitions with respect to volume measures with periodic weights of arbitrarily high period. We show that near the vertical boundary the system develops up to as many turning points as the period of the weights, and…

Probability · Mathematics 2019-11-13 Sevak Mkrtchyan

We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bifurcations that can be analytically…

We define (iterated) coisotropic correspondences between derived Poisson stacks, and construct symmetric monoidal higher categories of derived Poisson stacks where the $i$-morphisms are given by $i$-fold coisotropic correspondences.…

Algebraic Geometry · Mathematics 2020-11-03 Rune Haugseng , Valerio Melani , Pavel Safronov

We study charged spin textures (CST) over the Moore-Read quantum Hall state at filling factor 5/2. We develop an algebraic framework and show that the pairing condition that is inherent in the Moore-Read state naturally leads to a class of…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Jesper Romers , Liza Huijse , Kareljan Schoutens

Epsilon-near-zero and epsilon near-pole materials enable reflective systems supporting a class of symmetry-protected and accidental embedded eigenstates (EE) characterized by a diverging phase-resonance. Here we show that pairs of…

Optics · Physics 2021-02-16 Zarko Sakotic , Alex Krasnok , Andrea Alú , Nikolina Jankovic

Distances in the conformal manifold, the space of CFTs related by marginal deformations, can be measured in terms of the Zamolodchikov metric. Part of the CFT Distance Conjecture posits that points in this manifold where part of the…

High Energy Physics - Theory · Physics 2024-01-09 Florent Baume , José Calderón-Infante

A new type of nonlocal currents (quasi-particles), which we call twisted parafermions, and its corresponding twisted $Z$-algebra are found. The system consists of one spin-1 bosonic field and six nonlocal fields of fractional spins.…

High Energy Physics - Theory · Physics 2009-11-07 Xiang-Mao Ding , Mark. D. Gould , Yao-Zhong Zhang

Polariton condensates have proved to be model systems to investigate topological defects, as they allow for direct and non-destructive imaging of the condensate complex order parameter. The fundamental topological excitations of such…

We calculate the ground state degeneracies of all twisted sectors in the "Conway Moonshine'' holomorphic SCFT $V^{f\natural}$. We find that almost all sectors have ground states of only a single parity: specifically, 66 twisted sectors have…

Mathematical Physics · Physics 2023-05-10 Alissa Furet , Theo Johnson-Freyd

We study random skew 3D partitions weighted by $q^{\textup{vol}}$ and, specifically, the $q\to 1$ asymptotics of local correlations near various points of the limit shape. We obtain sine-kernel asymptotics for correlations in the bulk of…

Combinatorics · Mathematics 2007-05-23 Andrei Okounkov , Nicolai Reshetikhin

We study theoretically and experimentally the behaviour of a strongly confined dipolar Bose-Einstein condensate, in the regime of quantum-mechanical stabilization by beyond-mean-field effects. Theoretically, we demonstrate that…

Quantum Gases · Physics 2017-12-06 Matthias Wenzel , Fabian Böttcher , Tim Langen , Igor Ferrier-Barbut , Tilman Pfau

Stack triangulations appear as natural objects when defining an increasing family of triangulations by successive additions of vertices. We consider two different probability distributions for such objects. We represent, or "draw" these…

Probability · Mathematics 2013-09-11 Thomas Selig