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We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy.…

We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. We consider an extended version of the Kitaev chain where hopping and pairing terms couple many sites.…

强关联电子 · 物理学 2023-04-28 Gianluca Francica , Edoardo Maria Tiburzi , Luca Dell'Anna

We investigate the diagonal entropy for ground states of the extended Kitaev chains with extensive pairing and hopping terms. The systems contain rich topological phases equivalently represented by topological invariant winding numbers and…

量子物理 · 物理学 2019-12-02 Hong Qiao , Zheng-Hang Sun , Feng-Xiao Sun , Liang-Zhu Mu , Qiongyi He , Heng Fan

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…

介观与纳米尺度物理 · 物理学 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

The interplay of topology and disorder in non-equilibrium quantum systems is an intriguing subject. Here, we look for a suitable platform that enables an in-depth exploration of the topic. To this end, We analyze the topological and…

介观与纳米尺度物理 · 物理学 2024-09-05 Koustav Roy , Shilpi Roy , Saurabh Basu

We study the effects of disorder on a Kitaev chain with longer-range hopping and pairing terms which is capable of forming local zero energy excitations and, hence, serves as a minimal model for localization-protected edge qubits. The clean…

无序系统与神经网络 · 物理学 2018-10-24 Simon Lieu , Derek K. K. Lee , Johannes Knolle

We study the phase diagram of a disordered Kitaev chain with long-range pairing when connected to two metallic leads exchanging particles with external Lindblad baths. We (i) monitor the subgap modes at increasing disorder, (ii) compute the…

强关联电子 · 物理学 2025-04-30 Emmanuele G. Cinnirella , Andrea Nava , Gabriele Campagnano , Domenico Giuliano

We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$. Firstly, we suggest that simpler reduced quantities, related to…

强关联电子 · 物理学 2009-11-13 Stefanos Papanikolaou , Kumar S. Raman , Eduardo Fradkin

We introduce a characterization of topological order based on bulk oscillations of the entanglement entropy and the definition of an `entanglement gap', showing that it is generally applicable to pure and disordered quantum systems. Using…

强关联电子 · 物理学 2020-07-01 Chunyu Tan , Hubert Saleur , Stephan Haas

Very few topological systems with long-range couplings have been considered so far due to our lack of analytic approaches. Here we extend the Kitaev chain, a 1D quantum liquid, to infinite-range couplings and study its topological…

强关联电子 · 物理学 2020-08-26 Kristian Patrick , Titus Neupert , Jiannis K. Pachos

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…

介观与纳米尺度物理 · 物理学 2024-12-13 Vimalesh Kumar Vimal , Jorge Cayao

We examine the thermalisation/localization trade off in an interacting and disordered Kitaev model, specifically addressing whether signatures of many-body localization can coexist with the systems topological phase. Using methods…

强关联电子 · 物理学 2020-08-19 Stephen Nulty , Jiri Vala , Dganit Meidan , Graham Kells

The entanglement of different parts of a quantum system is expected to be proportional to the common interface area. Therefore alterations across the interface will lead to changes on the behavior of entanglement entropy. In this work, the…

统计力学 · 物理学 2021-12-08 Dalson Eloy Almeida

Quantum circuits provide an emerging controllable platform to realize novel dynamical non-equilibrium phases including topologically ordered states. The Kitaev model has become a cornerstone of quantum magnetism due to its quantum spin…

强关联电子 · 物理学 2025-11-26 Tushya Kalpada , Aayush Vijayvargia , Ezra Day-Roberts , Onur Erten

We investigate the von Neumann entanglement entropy and Schmidt gap in the ground state of the Kitaev model on the honeycomb lattice for square and cylindrical subsystems. We find that, for both the subsystems, the free-fermionic…

强关联电子 · 物理学 2016-07-26 Saptarshi Mandal , Moitri Maiti , Vipin Kerala Varma

Entanglement is a physical resource of a quantum system just like mass, charge or energy. Moreover it is an essential tool for many purposes of nowadays quantum information processing, e.g. quantum teleportation, quantum cryptography or…

无序系统与神经网络 · 物理学 2008-02-15 Imre Varga , Jose Antonio Mendez-Bermudez

The intricate interplay between unitary evolution and projective measurements could induce entanglement phase transitions in the nonequilibrium dynamics of quantum many-particle systems. In this work, we uncover loss-induced entanglement…

量子物理 · 物理学 2024-03-21 Longwen Zhou

We study the combined effect of interactions and disorder on topological order in one dimension. To this end we consider a generalized Kitaev chain including fermion-fermion interactions and disorder in the chemical potential. We determine…

强关联电子 · 物理学 2017-05-02 Niklas M. Gergs , Lars Fritz , Dirk Schuricht

In this paper we complete the study on the asymptotic behaviour of the entanglement entropy for Kitaev chains with long range pairing. We discover that when the couplings decay with the distance with a critical exponent new properties for…

量子物理 · 物理学 2018-06-06 F. Ares , J. G. Esteve , F. Falceto , A. R. de Queiroz

The ground state entanglement entropy between block of sites in the random Ising chain is studied by means of the Von Neumann entropy. We show that in presence of strong correlations between the disordered couplings and local magnetic…

其他凝聚态物理 · 物理学 2009-04-16 D. Binosi , G. De Chiara , S. Montangero , A. Recati
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