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Shortcut to adiabaticity (STA) is a speed way to produce the same final state that would result in an adiabatic, infinitely slow process. Two typical techniques to engineer STA are developed by either introducing auxiliary counterdiabatic…

Quantum Physics · Physics 2021-07-07 Jian-jian Cheng , Yao Du , Lin Zhang

A shortcut to adiabaticity (STA) is concerned with the fast and robust manipulation of the dynamics of a quantum system that reproduces the effect of an adiabatic process. A recently proposed method enables the generation of shortcuts from…

Shortcuts to adiabaticity (STA) are fast methods to realize the same final state evolution of quantum adiabatic process. We develop a general theory to construct a new kind of STA by solely sampling the points of the adiabatic path of the…

Quantum Physics · Physics 2023-02-14 Yiyao Liu , Zhen-Yu Wang

Quantum metrology makes use of quantum mechanics to improve precision measurements and measurement sensitivities. It is usually formulated for time-independent Hamiltonians but time-dependent Hamiltonians may offer advantages, such as a…

Quantum Physics · Physics 2020-12-02 Marina Cabedo-Olaya , Juan Gonzalo Muga , Sofía Martínez-Garaot

Shortcuts to adiabaticity (STA) provide control protocols to guide the dynamics of a quantum system through an adiabatic reference trajectory in an arbitrary prescheduled time. Designing STA proves challenging in complex quantum systems…

Quantum Physics · Physics 2018-08-09 C. W. Duncan , A. del Campo

We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations than…

Quantum Physics · Physics 2015-06-18 E. Torrontegui , S. Martínez-Garaot , J. G. Muga

It is still a challenge to experimentally realize shortcuts to adiabaticity (STA) for a non-Hermitian quantum system since a non-Hermitian quantum system's counterdiabatic driving Hamiltonian contains some unrealizable auxiliary control…

Quantum Physics · Physics 2017-10-19 Ye-Hong Chen , Qi-Cheng Wu , Bi-Hua Huang , Jie Song , Yan Xia , Shi-Biao Zheng

Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes of the controlling parameters of a system. The shortcuts are designed by a set of analytical and numerical methods suitable for different…

Quantum Physics · Physics 2019-11-11 D. Guéry-Odelin , A. Ruschhaupt , A. Kiely , E. Torrontegui , S. Martínez-Garaot , J. G. Muga

We study shortcuts to adiabaticity (STAs) through counterdiabatic driving in quantum critical systems in the presence of dissipation. We evaluate unitary as well as nonunitary controls, such that the system density matrix follows a…

Statistical Mechanics · Physics 2025-02-06 Shishira Mahunta , Victor Mukherjee

Fast and robust quantum control protocols are often based on an idealised approximate description of the relevant quantum system. While this may provide a performance which is close to optimal, improvements can be made by incorporating…

Quantum Physics · Physics 2020-07-01 Chris Whitty , Anthony Kiely , Andreas Ruschhaupt

We propose a fast mixed-state control scheme to transfer the quantum state along designable trajectories in Hilbert space, which is robust to multiple decoherence noises. Starting with the dynamical invariants of open quantum systems, we…

Quantum Physics · Physics 2022-01-05 S. L. Wu , W. Ma , X. L. Huang , Xuexi Yi

Shortcuts to Adiabaticity (STA) constitute driving schemes that provide an alternative to adiabatic protocols to control and guide the dynamics of classical and quantum systems without the requirement of slow driving. Research on STA…

Quantum Physics · Physics 2019-06-03 Adolfo del Campo , Kihwan Kim

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…

Quantum Physics · Physics 2016-03-17 Alan C. Santos

Shortcuts to adiabaticity~(STA) enables fast and robust coherent control of quantum system, which has been well placed in quantum technologies. In particular, inverse engineering STA provides much more freedom for the optimization of…

Quantum Physics · Physics 2024-12-17 Si-Qi Chen , He Lu

Shortcuts to adiabaticity (STA) are powerful quantum control methods, allowing quick evolution into target states of otherwise slow adiabatic dynamics. Such methods have widespread applications in quantum technologies, and various STA…

Quantum Physics · Physics 2022-02-02 Zelong Yin , Chunzhen Li , Jonathan Allcock , Yicong Zheng , Xiu Gu , Maochun Dai , Shengyu Zhang , Shuoming An

Given the increasing use of shotcuts to adiabaticity (STA) to optimize power and efficiency of quantum heat engines, it becomes a relevant question if there are any theoretical limits to their application. We argue that quantum fluctuations…

Quantum Physics · Physics 2018-09-19 Esteban Calzetta

Shortcuts to adiabaticity (STA) were first developed in quantum dynamics to realize rapid transformations with suppressed residual excitations. Here we show how the same idea can be implemented in classical nonlinear dissipative Lagrangian…

Quantum Physics · Physics 2026-05-14 Jincheng Shi , Yicheng Pan , Yue Ban , Xi Chen

Shortcuts to adiabaticity (STA) are relevant in the context of quantum systems, particularly regarding their control when they are subjected to time-dependent external conditions. In this paper, we investigate the completion of a…

In a `shortcut-to-adiabaticity' (STA) protocol, the counter-diabatic Hamiltonian, which suppresses the non-adiabatic transition of a reference `adiabatic' trajectory, induces a quantum uncertainty of the work cost in the framework of…

The development of quantum technologies present important challenges such as the need for fast and precise protocols for implementing quantum operations. Shortcuts to adiabaticity (STA) are a powerful tool for achieving these goals, as they…

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