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A one-dimensional Ising model in a transverse field can be mapped onto a system of spinless fermions with p-wave superconductivity. In the weak-coupling BCS regime, it exhibits a zero energy Majorana mode at each end of the chain. Here, we…

强关联电子 · 物理学 2012-01-17 Yuezhen Niu , Suk Bum Chung , Chen-Hsuan Hsu , Ipsita Mandal , S. Raghu , Sudip Chakravarty

The study of quasiparticle dynamics is central to understanding non-equilibrium phenomena in quantum many-body systems. Direct simulation of such dynamics on quantum hardware has been limited by circuit depth and noise constraints. In this…

强关联电子 · 物理学 2025-11-06 Yuxiao Hang , Rosa Di Felice , Aiichiro Nakano , Stephan Haas

We show that Majorana edge modes of two-dimensional spin-triplet topological superconductors have Ising-like spin density whose direction is determined by the d-vector characterizing the spin-triplet pairing symmetry. Exchange coupling…

超导电性 · 物理学 2011-03-28 Ryuichi Shindou , Akira Furusaki , Naoto Nagaosa

The ground state properties of an Ising chain with nearest ($J_{1}$) and next-nearest neighbor ($J_{2}$) interactions in a transverse field are investigated using the density matrix renormalization group and cluster mean-field theory…

统计力学 · 物理学 2014-11-24 Somenath Jalal , Brijesh Kumar

Quantum excitations in lattice systems always propagate at a finite maximum velocity. We probe this mechanism by considering a defect travelling at a constant velocity in the quantum Ising spin chain in transverse field. Independently of…

统计力学 · 物理学 2018-08-22 Alvise Bastianello , Andrea De Luca

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

量子物理 · 物理学 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

We theoretically investigate the spectral properties of a quantum impurity (QI) hosting the here proposed {Majorana-Ising-type quasiparticle (MIQ) excitation}. It arises from the coupling between a finite topological superconductor (TSC)…

Dynamical structure factor (S(k,$\omega$)) is calculated for the one-dimensional (1D) transverse field Ising model, and its recent extension to include a three spin term, with quenched binary disorder. We study the low energy modes for…

无序系统与神经网络 · 物理学 2018-08-17 Jian Wang , Sudip Chakravarty

A pair of counter-propagating Majorana edge modes appears in chiral p-wave superconductors and in other superconducting systems belonging to the same universality class. These modes can be described by an Ising conformal field theory. We…

介观与纳米尺度物理 · 物理学 2013-07-09 Chang-Yu Hou , Fabian Hassler , Anton R. Akhmerov , Johan Nilsson

The phase transitions in the transverse field Ising model in a competing spatially modulated (periodic and oscillatory) longitudinal field are studied numerically. There is a multiphase point in absence of the transverse field where the…

统计力学 · 物理学 2016-08-31 Parongama Sen

We study the response of classical impurities in quantum Ising chains. The Z2 degeneracy they entail renders the existence of two decoupled Majorana modes at zero energy an exact property of a finite system at arbitrary values of its bulk…

强关联电子 · 物理学 2016-09-21 Markus Müller , Alexander A. Nersesyan

We investigate the transverse field Ising model subject to a two-step periodic driving protocol and quasiperiodic modulation of the Ising couplings. Analytical results on the phase boundaries associated with Majorana edge modes and…

无序系统与神经网络 · 物理学 2020-11-17 Pengfei Liang , Rosario Fazio , Stefano Chesi

We study a realization of a 1d chain of Majorana bound states at the interfaces between alternating ferromagnetic and superconducting regions at a quantum spin Hall insulator edge. In the limit of well separated Majoranas, the system can be…

介观与纳米尺度物理 · 物理学 2013-05-29 V. Shivamoggi , G. Refael , J. E. Moore

Finite-length one-dimensional topological superconductor wires host localized Majorana zero modes at their ends. In realistic models, these appear only after a topological quantum critical point is crossed by external tuning of parameters.…

介观与纳米尺度物理 · 物理学 2017-10-25 William S. Cole , Jay D. Sau , S. Das Sarma

We study a stroboscopic quantum Ising model with Fibonacci dynamics. Focusing on boundary spin correlation functions in long but finite chains, our simulations as well as analytical arguments reveal a self-similar phase diagram exhibiting…

无序系统与神经网络 · 物理学 2026-01-27 Harald Schmid , Yang Peng , Gil Refael , Felix von Oppen

The non-equilibrium response of a quantum many-body system defines its fundamental transport properties and how initially localized quantum information spreads. However, for long-range-interacting quantum systems little is known. We address…

量子物理 · 物理学 2013-11-15 Philipp Hauke , Luca Tagliacozzo

We study the dynamics caused by transport of transverse magnetization in one dimensional transverse Ising chain at zero temperature. We observe that a class of initial states having product structure in fermionic momentum-space and…

统计力学 · 物理学 2017-11-03 Sirshendu Bhattacharyya , Subinay Dasgupta

We investigate the effect of phase randomness in Ising-type quantum networks. These networks model a large class of physical systems. They describe micro- and nanostructures or arrays of optical elements such as beam splitters…

量子物理 · 物理学 2015-06-26 P. Torma , I. Jex , W. P. Schleich

We study the time evolution of the local magnetization in the critical Ising chain in a transverse field after a sudden change of the parameters at a defect. The relaxation of the defect magnetization is algebraic and the corresponding…

统计力学 · 物理学 2014-03-27 F. Iglói , G. Roósz , L. Turban

Non-equilibrium dynamics of many-body quantum systems under the effect of measurement protocols is attracting an increasing amount of attention. It has been recently revealed that measurements may induce different non-equilibrium regimes…

统计力学 · 物理学 2023-09-13 Emanuele Tirrito , Alessandro Santini , Rosario Fazio , Mario Collura
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