Slow quench in ssh model

Author: pkli

August undefined, 2024

Webb10 okt. 2024 · We study the critical phenomena in the one-dimensional Su-Schrieffer-Heeger (SSH) model by investigating the inhomogeneities in the local winding number in … Webb17 apr. 2015 · We prove analytically that topology-changing quenches are always followed by nonanalytical temporal behavior of return rates (logarithm of the Loschmidt echo), …

Slow quench dynamics in classical systems: kinetic Ising model …

Webb9 okt. 2024 · The slow quench protocol is realized by introducing a Landau-Zener problem with an inversely proportional time dependence, and it can describe, in a unified way, the … WebbAnalytically, we know that the two eigenvalues occur at: s e e Q A H E p o s t The difference between the upper and lower band will be at it’s minimum when cos k is greatest, k = 0 . So when v = w, the gap closes. This v = w line in parameter space could separate two different topological phases. earth\u0027s lowest land elevation point

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

WebbAbstract. The topological phase of the Su-Schrie er-Heeger (SSH) model is known to exhibit two edge states that are topologically protected by the chiral symmetry. We demonstrate … Webb4 maj 2015 · The only way to close the bulk gap in the SSH model is to tune δ t to zero. As long as δ t ≠ 0, the bulk gap (which is proportional to δ t ) is always open, no matter how many edges you cut open or how many edge modes you have. 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. earth\u0027s lower mantle thickness

GitHub - yuralandau/Dynamic-Chern-Number-in-SSH-Model

Windows command line "ssh –q" does not result in completely …

http://phyx.readthedocs.io/en/latest/TI/Lecture%20notes/1.html 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 … earth\u0027s lowest temperatureWebb15 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 … earth\u0027s lowest recorded temperature

"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. " - Slow quench in ssh model

Slow quench in ssh model

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 … Webb(a) Quench in the SSH model and (b) the single-particle ES dynamics. The red solid and blue dashed curves correspond to L = ∞ and L = 2l, respectively. In the former case, the …

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WebbThe inversion symmetry in the SSH model (equivalently, reflection symmetry or 180-degree rotation symmetry) is best understood by taking Fig. 1 and flattening it out as in Fig. 5 … WebbInstitute of Physics

Webb24 apr. 2024 · Contribute to yuralandau/Dynamic-Chern-Number-in-SSH-Model development by creating an account on GitHub. Skip to content Toggle navigation. Sign up Product Actions. Automate any workflow ... Li L, Chen S. Dynamical topological invariant after a quantum quench[J]. Physical Review B, American Physical Society, 2024, 97(6): …

Webb30 maj 2024 · The Su–Schrieffer–Heeger (SSH) model perhaps is the easiest and the most basic model for topological excitations. Many variations and extensions of the SSH … Webb11 okt. 2024 · By slowly quenching the system across the topological phase transition during a finite time interval, we find that the length scale defined through the local …

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 …

WebbFeb 2024. Xi Wu. Panpan Fang. Fuxiang Li. Dynamical characterization of topological phases under quantum quench dynamics has been demonstrated as a powerful and efficient tool. Previous studies ... earth\u0027s lungsWebb21 apr. 2024 · Specifically, we find that dynamical quantum phase transition relies on the existence of massless propagating quasiparticles as signaled by their impact on the … ctrl right on a keyboardWebbWe first propose an exactly solvable multi-state Landau-Zener model that can be directly applied to the nonadiabatic slow quench dynamics of topological systems. ctrl + right shiftWebb19 juli 2024 · The discrete Hamiltonian of Su, Schrieffer and Heeger (SSH) is a well-known one-dimensional translation-invariant model in condensed matter physics. The model consists of two atoms per unit cell and describes in-cell and out-of-cell electron-hopping between two sub-lattices. ctrl r in wordWebb10 nov. 2024 · Here we study the slow quench dynamics in two paradigmatic models of classical statistical mechanics, {viz.}, one-dimensional kinetic Ising model and mean … ctrl r in ms wordWebb11 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 … earth\u0027s magnetic field effects on climatehttp://albi3ro.github.io/M4/WindingNumber.html ctrl r is not working in ssms