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首页> 外文期刊>Physical review.B.Condensed matter and materials physics >Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
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Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions

机译：在使用远程相互作用的链条中，不均匀性诱导捷径到绝热性

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摘要

Driving a homogeneous system across a quantum phase transition in a quench time τ_Q generates excitations on wavelengths longer than the Kibble-Zurek (KZ) length ζ ∝ τ_Q~(v/(1+zv)) within the KZ time window t ∝ τ_Q~(zv/(1+zv)) where z and v are the critical exponents. Quenches designed with local time-dependent inhomogeneity can introduce a gap in the spectrum. They can be parametrized by a time- and space-dependent distance ε from the critical point in the parameter space of the Hamiltonian: ε(t,x) = t-x/v/τ_Q ≡ θ(vt - x). For a variety of setups with short-range interactions, they have been shown to suppress excitations if the spatial velocity v of the inhomogeneous front is below the characteristic KZ velocity v ∝ ζ/t. Ising-like models with long-range interactions can have no sonic horizon, spreading information instantaneously across the system. Usually, this should imply that inhomogeneous transitions will render the dynamics adiabatic regardless of the velocity of the front. However, we show that we get an adiabatic transition with no defects only when the inhomogeneous front moves slower than the characteristic crossover velocity v∝θ~((z-1)v/(1+v)), where θ is the slope of the inhomogeneous front at the critical point. The existence of this crossover velocity and adiabaticity of the model results from the energy gap in the quasiparticle spectrum that is opened by the inhomogeneity. This effect can be employed for efficient adiabatic quantum state preparation in systems with long-range interactions.
机译：在淬火时间τ_q在淬火时间τ_q在kz时间窗口tατ_q〜中产生的波长的激发Δq_q在kz时间窗口tατ_____q〜 （zv /（1 + zv））其中z和v是临界指数。设计具有局部时间依赖性的不均匀性的淬火可以引入光谱中的间隙。它们可以通过来自Hamiltonian的参数空间中的临界点中的时间和空间相关距离ε可以参数化：ε（t，x）= t-x / v /τ_q≡θ（vt-x）。对于具有短距离相互作用的各种设置，如果不均匀前线的空间速度V低于特性KZ速度Vαζ/ T，则显示它们被示出为抑制激发。具有远程交互的ising的模型可以没有声波地平线，瞬间在整个系统上瞬间传播信息。通常，这意味着不可于过渡，无论前部的速度如何，都会使动态绝热。但是，我们表明我们只有在不均匀的前线移动比特征交叉速度Vαθ〜（（z-1）v /（1 + v））慢时，才能获得绝热过渡，没有缺陷，其中θ是斜率临界点的不均匀正面。该模型的这种交叉速度和绝热性的存在性来自通过不均匀性打开的Quasiplicle光谱中的能隙。这种效果可用于高温相互作用的系统中有效的绝热量子态制剂。

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  • 来源
    《Physical review.B.Condensed matter and materials physics》 |2020年第21期|214203.1-214203.13|共13页
  • 作者

    Aritra Sinha; Debasis Sadhukhan; Marek M. Rams; Jacek Dziarmaga;

  • 作者单位

    Jagiellonian University Institute of Theoretical Physics Lojasiewicza 11 PL-30348 Krakow Poland;

    Jagiellonian University Institute of Theoretical Physics Lojasiewicza 11 PL-30348 Krakow Poland;

    Jagiellonian University Institute of Theoretical Physics Lojasiewicza 11 PL-30348 Krakow Poland;

    Jagiellonian University Institute of Theoretical Physics Lojasiewicza 11 PL-30348 Krakow Poland;

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