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Incremental stability is a property of dynamical systems ensuring the uniform asymptotic stability of each trajectory rather than a fixed equilibrium point or trajectory. Here, we introduce a notion of incremental stability for stochastic…

系统与控制 · 计算机科学 2017-05-08 Pushpak Jagtap , Majid Zamani

We propose a non-Hermitian generalization of stimulated Raman adiabatic passage (STIRAP), which allows one to increase speed and fidelity of the adiabatic passage. This is done by adding balanced imaginary (gain/loss) terms in the diagonal…

量子物理 · 物理学 2015-06-19 Boyan T. Torosov , Giuseppe Della Valle , Stefano Longhi

Adiabatic processes can keep the quantum system in its instantaneous eigenstate, which is robust to noises and dissipation. However, it is limited by sufficiently slow evolution. Here, we experimentally demonstrate the transitionless…

介观与纳米尺度物理 · 物理学 2024-01-30 Xiao-Fei Liu , Yuta Matsumoto , Takafumi Fujita , Arne Ludwig , Andreas D. Wieck , Akira Oiwa

Explicit Runge-Kutta methods are classical and widespread techniques in the numerical solution of ordinary differential equations (ODEs). Considering partial differential equations, spatial semidiscretisations can be used to obtain systems…

数值分析 · 数学 2020-04-08 Hendrik Ranocha

Adiabatic optimal control schemes are essential for advancing the practical implementation of quantum technologies. However, the vast array of possible adiabatic protocols, combined with their dependence on the particular quantum system and…

Many schemes to realize quantum state transfer in spin chains are not robust to random fluctuations in the spin-spin coupling strength. In efforts to achieve robust quantum state transfer, an adiabatic quantum population transfer scheme is…

量子物理 · 物理学 2009-11-13 Vinitha Balachandran , Jiangbin Gong

Pulse controlled non-adiabatic quantum state transmission (QST) was proposed many years ago. However, in practice environmental noise inevitably damages communication quality in the proposal. In this paper, we study the optimally controlled…

量子物理 · 物理学 2023-09-26 Xiang-Han Liang , Lian-Ao Wu , Zhao-Ming Wang

Using a perturbative treatment, we quantify the influence of non-adiabatic leakage and system dissipation on the transfer fidelity of a stimulated Raman adiabatic passage (STIRAP) process. We find that, optimizing transfer time rather than…

介观与纳米尺度物理 · 物理学 2017-10-25 Ying-Dan Wang , Xiao-Bo Yan , Stefano Chesi

We review a scheme for the systematic design of quantum control protocols based on shortcuts to adiabaticity in few-level quantum systems. The adiabatic dynamics is accelerated by introducing high-frequency modulations in the control…

量子物理 · 物理学 2024-02-08 Francesco Petiziol , Florian Mintert , Sandro Wimberger

The ``fast iterative shrinkage-thresholding algorithm'', a.k.a. FISTA, is one of the most widely used algorithms in the literature. However, despite its optimal theoretical $O(1/k^2)$ convergence rate guarantee, oftentimes in practice its…

最优化与控制 · 数学 2018-07-12 Jingwei Liang , Carola-Bibiane Schönlieb

Quantum adiabatic dynamics is the crucial element of adiabatic quantum computing and quantum annealing. Shortcuts to adiabaticity enable acceleration of the computational time by suppressing unwanted non-adiabatic processes with designed…

量子物理 · 物理学 2026-02-24 Emma C. King , Giovanna Morigi , Raphaël Menu

An experimentally feasible scheme is proposed for rapidly generating two-atom three-dimensional (3D) entanglement with one step. As one technique of shortcuts to adiabaticity, transitionless quantum driving is applied to speed up the…

量子物理 · 物理学 2016-12-30 Rui Peng , Yue Zheng , Si-Wen Liu , Xiao-Pan Li , Jin-Lei Wu , Xin Ji

Adiabatic evolution is a powerful technique in quantum information and computation. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided by the…

量子物理 · 物理学 2016-03-17 Alan C. Santos

We develop new protocols for high-fidelity single qubit gates that exploit and extend theoretical ideas for accelerated adiabatic evolution. Our protocols are compatible with qubit architectures with highly isolated logical states, where…

量子物理 · 物理学 2019-09-25 Hugo Ribeiro , Aashish A. Clerk

We propose a scheme to squeeze mechanical motion and to entangle optical field with mechanical motion in an optomechanical system containing a parametric amplification. The scheme is based on optical bistability which emerges in the system…

量子物理 · 物理学 2024-09-12 Souvik Agasti , P. Djorwé

In atomic physics, adiabatic evolution is often used to achieve a robust and efficient population transfer. Many adiabatic schemes have also been implemented in optical waveguide structures. Recently there has been increasing interests in…

量子物理 · 物理学 2015-06-05 Eva-Maria Graefe , Alexei A. Mailybaev , Nimrod Moiseyev

We demonstrate that Optimal Control Theory (OCT) with a state-dependent constraint which depends on the state of the system at each instant can reproduce the famous counterintuitive mechanism of Stimulated Raman adiabatic passage (STIRAP).…

量子物理 · 物理学 2017-01-09 Amine Jaouadi , Mamadou Ndong

In this article we propose a novel method to accelerate adiabatic passage in a two-level system with only longitudinal field (detuning) control, while the transverse field is kept constant. The suggested method is a modification of the…

量子物理 · 物理学 2020-04-22 Dionisis Stefanatos , Emmanuel Paspalakis

The temporal modulation of a relevant parameter can be employed to induce modal transformations in Hermitian elastic lattices. When this is combined with a proper excitation mechanism, it allows to drive the energy transfer across the…

应用物理 · 物理学 2021-09-22 Emanuele Riva , Gianmaria Castaldini , Francesco Braghin

We show that the performances of a Stern-Gerlach apparatus can be improved by using a magnetic field profile for the atomic spin evolution designed through shortcut to adiabaticity technique. Interestingly, it can be made more compact - for…

量子物理 · 物理学 2017-10-18 François Impens , David Guéry-Odelin
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