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Related papers: Topological Quantum Liquids with Long-Range Coupli…

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Monitored quantum circuits allow for unprecedented dynamical control of many-body entanglement. Here we show that random, measurement-only circuits, implementing the competition of bond and plaquette couplings of the Kitaev honeycomb model,…

Quantum Physics · Physics 2024-12-16 Guo-Yi Zhu , Nathanan Tantivasadakarn , Simon Trebst

The topological entanglement entropy is used to measure long-range quantum correlations in the ground state of topological phases. Here we obtain closed form expressions for topological entropy of (2+1)- and (3+1)-dimensional loop gas…

Quantum Physics · Physics 2022-01-26 Jacob C. Bridgeman , Benjamin J. Brown , Samuel J. Elman

Recently, the two-site Kitaev model hosting Majorana edge states was experimentally realized based on double quantum dots. In this context, we construct two-band effective models describing Majorana edge states of a finite-length Kitaev…

Superconductivity · Physics 2024-05-24 Motohiko Ezawa

In this paper, we formulate and quantitatively examine the effect of dissipation on topological systems. We use a specific model of Kitaev quantum wire with an onsite Ohmic dissipation, and perform a numerically exact quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2019-11-12 Yizhen Huang , Alejandro M. Lobos , Zi Cai

Quantum spin liquids are highly fascinating quantum liquids in which the spin degrees of freedom fractionalize. An interesting class of spin liquids are the exactly solvable, three-dimensional Kitaev spin liquids. Their fractionalized…

Strongly Correlated Electrons · Physics 2018-06-22 Stephanie Matern , Maria Hermanns

We investigate the existence of topological phases in a dense two-dimensional atomic lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a non-trivial coherent long-range exchange interaction whose…

Quantum Physics · Physics 2017-10-18 Robert J. Bettles , Jiří Minář , Igor Lesanovsky , Charles S. Adams , Beatriz Olmos

Majorana bound states emerge in topological superconductors as zero-energy edge states exhibiting spatial nonlocality. Despite the enormous advances, the detection of Majorana bound states is still challenging mainly because topologically…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Vimalesh Kumar Vimal , Jorge Cayao

Robustness of edge states and non-Abelian excitations of topological states of matter promises quantum memory and quantum processing, which is naturally immune against microscopic imperfections such as static disorder. However, topological…

Quantum Physics · Physics 2015-10-21 Ying Hu , Zi Cai , Mikhail A. Baranov , Peter Zoller

An array of quantum dots coupled via superconductivity provides a new platform for creating Kitaev chains with Majorana zero modes, offering a promising avenue toward topological quantum computing. In this work, we theoretically study the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Chun-Xiao Liu

We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent $\alpha$. We show that…

Statistical Mechanics · Physics 2022-02-08 Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

The topological phases of random Kitaev $\alpha$-chains are labelled by the number of localized edge Majorana Zero Modes. The critical lines between these phases thus correspond to delocalization transitions for these localized edge…

Disordered Systems and Neural Networks · Physics 2018-10-18 Cecile Monthus

In this review we present some of the work done in India in the area of driven and out-of-equilibrium systems with topological phases. After presenting some well-known examples of topological systems in one and two dimensions, we discuss…

Statistical Mechanics · Physics 2021-08-11 Souvik Bandyopadhyay , Sourav Bhattacharjee , Diptiman Sen

We propose Majorana-assisted nonlocal spin correlation as a manifestation of Majorana nonlocality in quasi-one-dimensional (1D) Kitaev spin liquids. Focusing on the flux-free sector of the Kitaev honeycomb model in a quasi-1D geometry, we…

Strongly Correlated Electrons · Physics 2026-03-27 Yuki Yamazaki , Shingo Kobayashi , Akira Furusaki

We investigate possible topological superconductivity in the Kondo-Kitaev model on the honeycomb lattice, where the Kitaev spin liquid is coupled to conduction electrons via the Kondo coupling. We use the self-consistent Abrikosov-fermion…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Philipp W. Klein , Achim Rosch , Yong Baek Kim

We investigate the topological phases in a coupled one-dimensional p-wave superconducting Fibonacci quasicrystal modeled by the quasiperiodic Kitaev chain. Recent studies have shown that the coupled system can host topological edge modes…

Superconductivity · Physics 2026-05-07 Koki Mizuno

Long-range interactions exhibit surprising features which have been less explored so far. Here, studying a one-dimensional fermionic chain with long-range hopping and pairing, we discuss some general features associated to the presence of…

Strongly Correlated Electrons · Physics 2022-10-18 Gianluca Francica , Luca Dell'Anna

The combination of topology and quantum criticality can give rise to an exotic mix of counterintuitive effects. Here, we show that unexpected topological properties take place in a paradigmatic strongly-correlated Hamiltonian: the 1D…

We investigate the robustness of Majorana edge modes under disorder and interactions. We exploit a recently found mapping of the interacting Kitaev chain in the symmetric region ($\mu = 0$, $t = \Delta$) to free fermions. Extending the…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

A number of topological phases are found to emerge in the ferromagnetic Kitaev-Heisenberg model on CaVO lattice in the presence of Dzyaloshinskii-Moriya interaction. Heisenberg and Kitaev terms have been considered on nearest and…

Strongly Correlated Electrons · Physics 2021-05-05 Moumita Deb , Asim Kumar Ghosh

We witness multipartite entanglement in the Kitaev chain -- a benchmark model of one dimensional topological insulator -- also with variable-range pairing, using the quantum Fisher information. Phases having a finite winding number, both…

Quantum Physics · Physics 2017-12-27 Luca Pezzè , Marco Gabbrielli , Luca Lepori , Augusto Smerzi