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Active matter encompasses different nonequilibrium systems in which individual constituents convert energy into non-conservative forces or motion at the microscale. This review provides an elementary introduction to the role of topology in…

Soft Condensed Matter · Physics 2022-06-28 Suraj Shankar , Anton Souslov , Mark J. Bowick , M. Cristina Marchetti , Vincenzo Vitelli

We numerically study a rotating Bose-Einstein condensate placed transiently over the critical rotation frequency i.e. in a regime where the rotation frequency is larger than the radial frequency of the confinement. We study the…

In contrast to conservative systems, in nonlinear media with gain and loss the dynamics of localized topological structures can exhibit unique features that can be controlled externally. We propose a robust mechanism to perform topological…

Pattern Formation and Solitons · Physics 2019-12-11 B. A. Kochetov , O. G. Chelpanova , V. R. Tuz , A. I. Yakimenko

New coherent states may be induced by pertinently engineering the topology of a network. As an example, we consider the properties of non-interacting bosons on a star network, which may be realized with a dilute atomic gas in a star-shaped…

Statistical Mechanics · Physics 2007-05-23 I. Brunelli , G. Giusiano , F. P. Mancini , P. Sodano , A. Trombettoni

Topological states of matter are, generally, quantum liquids of conserved topological defects. We establish this by constructing and analyzing topological field theories which describe the dynamics of field singularities using gauge fields.…

Strongly Correlated Electrons · Physics 2020-06-17 Predrag Nikolić

We study a robust topological transport carried by vortices in a thin film of an easy-plane ferromagnetic insulator between two metal contacts. A vortex, which is a nonlocal topological spin texture in two-dimensional magnets, exhibits some…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Ji Zou , Se Kwon Kim , Yaroslav Tserkovnyak

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

By means of time-dependent density matrix renormalization group calculations we study topological quantum pumping in a strongly interacting system. The system under consideration is described by the Hamiltonian of a one-dimensional extended…

Strongly Correlated Electrons · Physics 2013-02-26 Davide Rossini , Marco Gibertini , Vittorio Giovannetti , Rosario Fazio

Topology is central to phenomena that arise in a variety of fields, ranging from quantum field theory to quantum information science to condensed matter physics. Recently, the study of topology has been extended to open systems, leading to…

We report topological nonlinear optics with spin-orbit coupled Bose-Einstein condensate in a cavity. The cavity is driven by a pump laser and weak probe laser which excite Bose-Einstein condensate to an intermediate storage level, where the…

Optics · Physics 2018-03-13 Kashif Ammar Yasir , Lin Zhuang , Wu-Ming Liu

Topological defects are ubiquitous from solid state physics to cosmology, where they drive phase transitions by proliferating as domain walls, monopoles or vortices. As quantum excitations, they often display fractional charge and anyonic…

Mesoscale and Nanoscale Physics · Physics 2012-03-27 R. Koushik , Matthias Baenninger , Vijay Narayan , Subroto Mukerjee , Michael Pepper , Ian Farrer , David A. Ritchie , Arindam Ghosh

Topological winding and unwinding in a quasi-one-dimensional metastable Bose-Einstein condensate are shown to be manipulated by changing the strength of interaction or the frequency of rotation. Exact diagonalization analysis reveals that…

Other Condensed Matter · Physics 2009-11-13 Rina Kanamoto , Lincoln D. Carr , Masahito Ueda

We consider changes of the topological charge of vortices in quantum mechanics by investigating analytical examples where the creation or annihilation of vortices occurs. In classical hydrodynamics of non-viscous fluids the Helmholtz-Kelvin…

Quantum Physics · Physics 2009-11-07 Bogdan Damski , Krzysztof Sacha

Ordered media often support vortex structures with intriguing topological properties. Here, we investigate non-Abelian vortices in tetrahedral order, which appear in the cyclic phase of spin-2 Bose--Einstein condensates and in the…

Quantum Gases · Physics 2023-08-22 Hermanni Rajamäki , Toni Annala , Mikko Möttönen

We found that non-magnetic defects in two-dimensional topological insulators induce bound states of two kinds for each spin orientation: electron- and hole-like states. Depending on the sign of the defect potential these states can be also…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Vladimir A. Sablikov , Aleksei A. Sukhanov

A rich variety of order parameter manifolds of multicomponent Bose-Einstein condensates (BECs) admit various kinds of topological excitations, such as fractional vortices, monopoles, skyrmions, and knots. In this paper, we discuss two…

Quantum Gases · Physics 2010-12-14 Yuki Kawaguchi , Michikazu Kobayashi , Muneto Nitta , Masahito Ueda

Vortices are widely studied in fields ranging from nonlinear optics to magnetic systems and superconductors. A vortex carries a binary information corresponding to its topological charge, `plus' or `minus', that can be used for information…

Optics · Physics 2017-06-07 Xuekai Ma , Stefan Schumacher

Vortices were imprinted in a Bose-Einstein condensate using topological phases. Sodium condensates held in a Ioffe-Pritchard magnetic trap were transformed from a non-rotating state to one with quantized circulation by adiabatically…

Soft Condensed Matter · Physics 2009-11-07 A. E. Leanhardt , A. Görlitz , A. P. Chikkatur , D. Kielpinski , Y. Shin , D. E. Pritchard , W. Ketterle

We discuss the effect of inter-atoms interactions on the condensation temperature $T_c$ of an atomic laboratory trapped Bose-Einstein condensate. We show that, in the mean-field Hartree-Fock and semiclassical approximations, interactions…

Quantum Gases · Physics 2013-08-05 Fabio Briscese

Topological effects typically discussed in the context of quantum physics are emerging as one of the central paradigms of physics. Here, we demonstrate the role of topology in energy transport through dimerized micro- and nano-mechanical…

Mesoscale and Nanoscale Physics · Physics 2018-03-23 Chih-Chun Chien , Kirill A. Velizhanin , Yonatan Dubi , B. Robert Ilic , Michael Zwolak