Slow quench in ssh model

WebbSSH模型简单来说可以理解为电子在一列一位的点阵上跃迁,有两种不同的幅度交替排列分别用 v,w 表示胞内和胞外跃迁幅度,为了方便我们将每个元胞中处在左边的格点用 A 表示,处在右边的用 B 表示 书上的图 在不考虑电子相互作用的情况下,可以写出单电子的哈密顿量 \hat {H}=v\sum_ {m=1}^N ( m,B\rangle\langle m,A + m,A\rangle\langle … Webb2 feb. 2024 · In the slow quench performed over a timeτ, we find that the excitation energy generated has a remarkable intermediate-τnonanalytic power-law dependence,τ−ηwithη<1, which seemingly masks the dynamical manifestation of …

Phys. Rev. Research 3, 023022 (2024) - Non-Bloch quench dynamics

Webb17 juni 2024 · In the nonreciprocal SSH model, we find that while a topologically nontrivial post-quench system always imply DQPTs following the quench, the reverse may not be true in general, and possible reasons behind such an … WebbIn condensed matter physics, the Su–Schrieffer–Heeger (SSH) model is a one-dimensional lattice model that presents topological features. It was devised by Wu-Pei … how did the printing press affect the economy https://boonegap.com

Winding Number and SSH Model - GitHub Pages

Webb11 feb. 2024 · Time evolution of an excitation in the SSH model, initiated on the left side of the lattice, while abruptly quenching the Hamiltonian to the nontopological phase. Panel … Webb15 maj 2024 · The deviations from the ground-state spin Hall conductivity as a function of the quench time follow the Kibble-Zurek scaling. We also consider the breaking of the … Webb1 nov. 2024 · The slower the quench, the closer the state of the propagated system after the quench is to the ground state of the final Hamiltonian. The characteristic time scales … how did the printing press change history

Lecture 1 : 1-d SSH model — Physics 0.1 documentation - Read …

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Slow quench in ssh model

Phys. Rev. B 98, 214306 (2024) - Effective metal-insulator ...

Webb7 apr. 2024 · We study the quench dynamics of non-Hermitian topological models with non-Hermitian skin effects. Adopting the non-Bloch band theory and projecting quench … Webb17 jan. 2024 · The Su--Schrieffer--Heeger (SSH) model is one of the simplest topological lattice models and is a promising candidate for quantum simulations of topological systems. In this study we investigate an interacting SSH model with nearest-neighbor interactions using mean field theory and an exact diagonalization method after the …

Slow quench in ssh model

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Webb10 dec. 2024 · The SSH model is described by the Hamiltonian (1) H ˆ = ∑ l [ q ( a l † b l † + b l † a l †) + q ′ ( a l + 1 † b l † + b l † a l + 1 †)], where a l ( b l) destroys a fermion on site-l of sublattice- A ( B ), and q ( q ′) is the intracell (intercell) tunneling matrix element. WebbThe Su-Schrieffer-Heeger model, or SSH model for short, is in a sense one of the simplest models of topology and the resulting edge states (the bulk-boundary correspondence), so a full analysis of it helps to shed light on other models in higher dimension with topologies that might be a little harder to imagine.

Webb29 aug. 2024 · The Su-Schrieffer-Heeger (SSH) model on a two-dimensional square lattice exhibits a topological phase transition which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial charge polarization even in the presence of inversion symmetry. The energy band structures and … Webb4 dec. 2024 · We demonstrate that, for any parameter quench performed on the half-filled SSH chain, the occupancy of each lattice site remains locked to $1/2$ at any time, due to …

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Webb18 maj 2024 · Leverage modern Hybrid IT infrastructure to execute application workload in a fit-for-purpose model. Enterprise Server . Execute IBM mainframe COBOL ... The –q … how did the printing press help spread ideasWebbThe Su-Schrieffer–Heeger (SSH) model ¶ The simplest non-trivial topology : 1-d lattice. Peierls instability makes the atoms dimerize. Polyacetylene Structure: Tight-binding method: first quantization ¶ 1-d atom chain Tight-binding method: Single electron total Hamiltonian in atom chain: H = p2 2m + U(x) with periodical potential: U(x + na) = U(x) how did the printing press changed the worldWebb4 apr. 2024 · We study the quench dynamics of noninteracting fermionic quantum many-body systems that are subjected to Markovian drive and dissipation and are described by a quadratic Liouvillian which has parity-time (PT) symmetry. In recent work, we have shown that such systems relax locally to a maximum entropy ensemble that we have dubbed … how many students are at jmuhttp://albi3ro.github.io/M4/WindingNumber.html how did the printing press change religionWebbWe first propose an exactly solvable multi-state Landau-Zener model that can be directly applied to the nonadiabatic slow quench dynamics of topological systems. how did the printing press affect reformationWebb1 mars 2024 · We examine the quench dynamics of an extended Su-Schrieffer-Heeger (SSH) model involving long-range hopping that can hold multiple topological phases. Using winding number diagrams to characterize ... how did the printing press change englishWebb17 apr. 2015 · We prove analytically that topology-changing quenches are always followed by nonanalytical temporal behavior of return rates (logarithm of the Loschmidt echo), … how did the printing press change music