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We demonstrate that Majorana fermions exist in edges of systems and in a vortex core even for superconductors with nodal excitations such as the d-wave pairing state under a particular but realistic condition in the case with an…

Superconductivity · Physics 2011-02-11 Masatoshi Sato , Satoshi Fujimoto

We consider a system consisting of a 2D network of links between Majorana fermions on superconducting islands. We show that the fermionic Hamiltonian modeling this system is topologically-ordered in a region of parameter space. In…

Quantum Physics · Physics 2012-07-25 Barbara M. Terhal , Fabian Hassler , David P. DiVincenzo

The ordering of magnetic or electric dipoles leading to real-space topological structures is at the forefront of materials research as their quantum mechanical nature often lends itself to emergent properties. Atomic lattice vibrations…

Chains of magnetic atoms with either strong spin-orbit coupling or spiral magnetic order which are proximity-coupled to superconducting substrates can host topologically non-trivial Majorana bound states. The experimental signature of these…

We show that ultracold polar diatomic or linear molecules, oriented in an external electric field and mutually coupled by dipole-dipole interactions, can be used to realize the exact Heisenberg XYZ, XXZ and XY models without invoking any…

Quantum Physics · Physics 2022-11-09 Wenjing Yue , Qi Wei , Sabre Kais , Bretislav Friedrich , Dudley Herschbach

Topological superfluid is an exotic state of quantum matter that possesses a nodeless superfluid gap in the bulk and Andreev edge modes at the boundary of a finite system. Here, we study a multi-orbital superfluid driven by attractive…

Quantum Gases · Physics 2017-08-23 Ningning Hao , Huaiming Guo , Ping Zhang

We show that combined electrostatic and radiative fields can greatly amplify the directional properties, such as axis orientation and alignment, of symmetric top molecules. In our computational study, we consider all four symmetry…

Chemical Physics · Physics 2009-11-13 Marko Härtelt , Bretislav Friedrich

We show that a single dark soliton can exist in a spin-orbit-coupled Fermi gas with a high spin imbalance, where spin-orbit coupling favors uniform superfluids over non-uniform Fulde-Ferrell-Larkin-Ovchinnikov states, leading to dark…

Quantum Gases · Physics 2014-09-29 Yong Xu , Li Mao , Biao Wu , Chuanwei Zhang

We study a model of a 2D ultracold atomic gas subject to an "optical flux lattice": a laser configuration where Raman-dressed atoms experience a strong artificial magnetic field. This leads to a bandstructure of narrow energy bands with…

Quantum Gases · Physics 2015-08-19 Simon C. Davenport , Nigel R. Cooper

In this work, we discuss the emergence of $p$-wave superfluids of identical fermions in 2D lattices. The optical lattice potential manifests itself in an interplay between an increase in the density of states on the Fermi surface and the…

Quantum Gases · Physics 2018-03-07 A. K. Fedorov , V. I. Yudson , G. V. Shlyapnikov

Topological photonic systems support edge states that are robust against disorder and perturbation. Depending on the symmetry and dimensionality of the bulk systems, different edge states emulating soliton, quantum integer and quantum spin…

Optics · Physics 2025-12-17 Aidan H. Y. Chong , Y. Q. Liu , C. Liu , Daniel H. C. Ong

We study a 3D generalization of the toric code model introduced recently by Chamon. This is an exactly solvable spin model with six-qubit nearest neighbor interactions on an FCC lattice whose ground space exhibits topological quantum order.…

Quantum Physics · Physics 2015-05-19 Sergey Bravyi , Bernhard Leemhuis , Barbara M. Terhal

Topological protection in photonics offers new prospects for guiding and manipulating classical and quantum information. The mechanism of spin-orbit coupling promises the emergence of edge states that are helical; exhibiting unidirectional…

Optics · Physics 2018-11-28 Nikhil Parappurath , Filippo Alpeggiani , L. Kuipers , Ewold Verhagen

The discovery of topologically non-trivial electronic systems has opened a new age in condensed matter research. From topological insulators to topological superconductors and Weyl semimetals, it is now understood that some of the most…

Topologically-ordered phases of matter, although stable against local perturbations, are usually restricted to relatively small regions in phase diagrams. Their preparation requires thus a precise fine tunning of the system's parameters, a…

Strongly Correlated Electrons · Physics 2020-10-21 Daniel González-Cuadra , Luca Tagliacozzo , Maciej Lewenstein , Alejandro Bermudez

Fully gapped two-dimensional superconductors coupled to dynamical electromagnetism are known to exhibit topological order. In this work, we develop a unified low-energy description for spin-singlet paired states by deriving topological…

Superconductivity · Physics 2017-01-17 Sergej Moroz , Abhinav Prem , Victor Gurarie , Leo Radzihovsky

Proposals for quantum computing using rotational states of polar molecules as qubits have previously considered only diatomic molecules. For these the Stark effect is second-order, so a sizable external electric field is required to produce…

Quantum Physics · Physics 2015-05-30 Qi Wei , Sabre Kais , Bretislav Friedrich , Dudley Herschbach

Strongly correlated systems exhibit a rich phenomenology due to the antagonism of a diversity of ordered phases. The aftermath of this interplay can lead to a coexistence which takes place at a microscopic level, or, a phase separation in…

Superconductivity · Physics 2018-10-15 Maria Teresa Mercaldo , Panagiotis Kotetes , Mario Cuoco

Observation of topological phases beyond two-dimension (2D) has been an open challenge for ultracold atoms. Here, we realize for the first time a 3D spin-orbit coupled nodal-line semimetal in an optical lattice and observe the bulk line…

Quantum Gases · Physics 2019-08-01 Bo Song , Chengdong He , Sen Niu , Long Zhang , Zejian Ren , Xiong-Jun Liu , Gyu-Boong Jo

We investigate the dynamical interplay between topological state of matter and a non-Markovian dissipation, which gives rise to a new and crucial time scale into the system dynamics due to its quantum memory. We specifically study a…

Quantum Physics · Physics 2021-01-04 Oliver Kästle , Ying Hu , Alexander Carmele