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Driving a quantum system periodically in time can profoundly alter its long-time dynamics and trigger topological order. Such schemes are particularly promising for generating non-trivial energy bands and gauge structures in quantum-matter…

Quantum Gases · Physics 2015-06-11 N. Goldman , J. Dalibard

We introduce the idea of using adiabatic rotation to generate superpositions of a large class of quantum states. For quantum computing this is an interesting alternative to the well-studied "straight line" adiabatic evolution. In ways that…

Quantum Physics · Physics 2009-11-13 M. Stewart Siu

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

We introduce a scheme based on adiabatic passage that allows for long-range quantum communication through tight-binding chain with always-on interaction. By adiabatically varying the external gate voltage applied on the system, the electron…

Quantum Physics · Physics 2012-07-10 Bing Chen , Wei Fan , Yan Xu , Zhao-yang Chen , Xun-li Feng , C. H. Oh

It has been recently realized that dissipative processes can be harnessed and exploited to the end of coherent quantum control and information processing. In this spirit we consider strongly dissipative quantum systems admitting a…

Quantum Physics · Physics 2014-12-18 Paolo Zanardi , Lorenzo Campos Venuti

The two-level quantum system (qubit) in a precessing magnetic field and in contact with a heat bath is investigated. The exact reduced dynamics for the qubit in question is obtained. We apply the approach based on the block operator…

Quantum Physics · Physics 2010-10-29 Bartlomiej Gardas

We study the adiabatic quantum dynamics of an anisotropic spin-1 XY chain across a second order quantum phase transition. The system is driven out of equilibrium by performing a quench on the uniaxial single-spin anisotropy, that is…

Statistical Mechanics · Physics 2009-03-31 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro

Transitionless quantum driving, also known as counterdiabatic driving, is a unique shortcut technique to adiabaticity, enabling a fast-forward evolution to the same target quantum states as those in the adiabatic case. However, as nothing…

Quantum Physics · Physics 2018-03-20 Zhen-Yu Xu , Wen-Long You , Yu-Li Dong , Chengjie Zhang , W. L. Yang

Adiabatic theorem and non-adiabatic corrections have been widely applied in modern quantum technology. Recently, non-adiabatic linear response theory has been developed to probe the many-body correlations in closed systems. In this work, we…

Quantum Gases · Physics 2025-09-10 Xiaotian Nie , Wei Zheng

The adiabatic motion of a charged, spinning, quantum particle in a two - dimensional magnetic field is studied. A suitable set of operators generalizing the cinematical momenta and the guiding center operators of a particle moving in a…

High Energy Physics - Theory · Physics 2008-11-26 P. Maraner

We introduce the prodiabatic elimination, a powerful approximation technique that systematically extends the adiabatic elimination of fast degrees of freedom in light-matter coupled systems. Through a controlled expansion of operators, the…

Quantum Physics · Physics 2026-03-03 Jan Neuser , Marcelo Janovitch , Matteo Brunelli , Patrick P. Potts

Adiabatic transport provides a powerful way to manipulate quantum states. By preparing a system in a readily initialised state and then slowly changing its Hamiltonian, one may achieve quantum states that would otherwise be inaccessible.…

Quantum Physics · Physics 2015-02-13 P. J. D. Crowley , T. Duric , W. Vinci , P. A. Warburton , A. G. Green

The dynamics of a quantum phase transition is inextricably woven with the formation of excitations, as a result of the critical slowing down in the neighborhood of the critical point. We design a transitionless quantum driving through a…

Quantum Physics · Physics 2012-09-17 Adolfo del Campo , Marek M. Rams , Wojciech H. Zurek

We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice $\mathbb Z^d$. This system is assumed to be initially in thermal equilibrium, and we consider realizations of…

Mathematical Physics · Physics 2024-09-25 Vojkan Jakšić , Claude-Alain Pillet , Clément Tauber

We present an approach based on a density matrix expansion to study thermodynamic properties of a quantum system strongly coupled to two or more baths. For slow external driving of the system, we identify the adiabatic and nonadiabatic…

Statistical Mechanics · Physics 2020-06-24 Wenjie Dou , Jakob Bätge , Amikam Levy , Michael Thoss

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

It is known that secondary non-stoquastic drivers may offer speed-ups or catalysis in some models of adiabatic quantum computation accompanying the more typical transverse field driver. Their combined intent is to raze potential barriers to…

Quantum Physics · Physics 2019-04-02 Gabriel A. Durkin

We extend the concept of superadiabatic dynamics, or transitionless quantum driving, to quantum open systems whose evolution is governed by a master equation in the Lindblad form. We provide the general framework needed to determine the…

Quantum Physics · Physics 2015-06-16 G. Vacanti , R. Fazio , S. Montangero , G. M. Palma , M. Paternostro , V. Vedral

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

At present, several models for quantum computation have been proposed. Adiabatic quantum computation scheme particularly offers this possibility and is based on a slow enough time evolution of the system, where no transitions take place. In…

Quantum Physics · Physics 2012-10-12 P. J. Salas Peralta