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We present a general approach to speed up the adiabatic process without adding the traditional counterdiabatic driving (CD) Hamiltonian. The strategy is to design an easy-to-get intermediate Hamiltonian to connect the original Hamiltonian…

量子物理 · 物理学 2017-06-21 Ye-Hong Chen , Zhi-Cheng Shi , Jie Song , Yan Xia , Shi-Biao Zheng

Shortcuts to adiabaticity provide a general approach to mimic adiabatic quantum processes via arbitrarily fast evolutions in Hilbert space. For these counter-diabatic evolutions, higher speed comes at higher energy cost. Here, the…

量子物理 · 物理学 2017-12-19 Alan C. Santos , Marcelo S. Sarandy

Shortcuts to adiabaticity are alternative fast processes which reproduce the same final state as the adiabatic process in a finite or even shorter time, which have been extended from Hermitian systems to non-Hermitian systems in recent…

量子物理 · 物理学 2024-04-15 T. Z. Luan , H. Z. Shen , X. X. Yi

A non-Hermitian shortcut to adiabaticity is introduced. By adding an imaginary term in the diagonal elements of the Hamiltonian of a two state quantum system, we show how one can cancel the nonadiabatic losses and perform an arbitrarily…

量子物理 · 物理学 2013-06-05 Boyan T. Torosov , Giuseppe Della Valle , Stefano Longhi

The strategy of shortcuts to adiabaticity enables us to realize adiabatic dynamics in finite time. In the counter-diabatic driving approach, an auxiliary Hamiltonian which is called the counter-diabatic Hamiltonian is appended to an…

量子物理 · 物理学 2017-08-24 Takuya Hatomura

Counter-diabatic driving protocols were proposed as a means to do fast changes in the Hamiltonian without exciting transitions. Such driving in principle allows one to realize arbitrarily fast annealing protocols or implement fast…

量子物理 · 物理学 2017-05-11 Dries Sels , Anatoli Polkovnikov

Sped-up protocols (shortcuts to adiabaticity) that drive a system quickly to the same populations than a slow adiabatic process may involve Hamiltonian terms difficult to realize in practice. We use the dynamical symmetry of the Hamiltonian…

量子物理 · 物理学 2015-06-19 S. Martínez-Garaot , E. Torrontegui , Xi Chen , J. G. Muga

Shortcuts to adiabaticity are strategies for conserving adiabatic invariants under non-adiabatic (i.e. fast-driving) conditions. Here, we show how to extend classical, Hamiltonian shortcuts to adiabaticity to allow the crossing of a…

统计力学 · 物理学 2024-08-14 Roi Holtzman , Oren Raz , Christopher Jarzynski

A $\textit{shortcut to adiabaticity}$ is a recipe for generating adiabatic evolution at an arbitrary pace. Shortcuts have been developed for quantum, classical and (most recently) stochastic dynamics. A shortcut might involve a…

量子物理 · 物理学 2017-10-30 Ayoti Patra , Christopher Jarzynski

Adiabatic processes driven by non-Hermitian, time-dependent Hamiltonians may be sped up by generalizing inverse engineering techniques based on Berry's transitionless driving algorithm or on dynamical invariants. We work out the basic…

量子物理 · 物理学 2015-09-18 S. Ibáñez , S. Martínez-Garaot , Xi Chen , E. Torrontegui , 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…

量子物理 · 物理学 2017-10-19 Ye-Hong Chen , Qi-Cheng Wu , Bi-Hua Huang , Jie Song , Yan Xia , Shi-Biao Zheng

The evolution of a system induced by counter-diabatic driving mimics the adiabatic dynamics without the requirement of slow driving. Engineering it involves diagonalizing the instantaneous Hamiltonian of the system and results in the need…

量子物理 · 物理学 2013-09-05 Adolfo del Campo

We propose a method to produce fast transitionless dynamics for finite-dimensional quantum systems without requiring additional Hamiltonian components not included in the initial control setup, remaining close to the true adiabatic path at…

量子物理 · 物理学 2018-11-09 Francesco Petiziol , Benjamin Dive , Florian Mintert , Sandro Wimberger

A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final state that would result from an adiabatic, infinitely slow process. A powerful technique to engineer such shortcuts relies on the use of…

量子物理 · 物理学 2014-04-24 Sebastian Deffner , Christopher Jarzynski , Adolfo del Campo

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 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…

量子物理 · 物理学 2015-06-18 E. Torrontegui , S. Martínez-Garaot , J. G. Muga

Adiabatic protocols are often employed in state preparation schemes but require the system to be driven by a slowly varying Hamiltonian so that transitions between instantaneous eigenstates are exponentially suppressed. Counterdiabatic…

量子物理 · 物理学 2024-03-20 Callum W. Duncan

We propose a scheme to realize fast generation of three-dimensional entanglement between two atoms via superadiabatic-based shortcuts in an atom-cavity-fiber system. The scheme is experimentally feasible because of the same form of the…

量子物理 · 物理学 2017-04-26 Xiao-Qin Yang , Dian-Yang Huang , Peng Xue , Yong-Yong Gong , Jin-Lei Wu , Xin ji

The system undergoes adiabatic evolution when its population in the instantaneous eigenbasis of its time-dependent Hamiltonian changes only negligibly. Realization of such dynamics requires slow-enough changes of the parameters of the…

量子物理 · 物理学 2015-06-23 Bogdan Damski

The need for fast and robust quantum state transfer is an essential element in scalable quantum information processing, leading to widespread interest in shortcuts to adiabaticity for speeding up adiabatic quantum protocols. However,…

量子物理 · 物理学 2024-09-25 Jian Xu , Feng Mei , Yan-Qing Zhu
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