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We discuss dynamics of periodically-driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is…

Quantum Physics · Physics 2022-11-08 Kazutaka Takahashi

Applying time-dependent driving is a basic way of quantum control. Driven systems show various dynamics as its time scale is changed due to the different amount of nonadiabatic transitions. The fast-forward scaling theory enables us to…

Quantum Physics · Physics 2023-07-19 Takuya Hatomura

Quantum adiabatic transfer is widely used in quantum computation and quantum simulation. However, the transfer speed is limited by the quantum adiabatic approximation condition, which hinders its application in quantum systems with a short…

Quantum Physics · Physics 2022-08-31 Wen Zheng , Jianwen Xu , Zhimin Wang , Yuqian Dong , Dong Lan , Xinsheng Tan , Yang Yu

Shortcuts to adiabaticity are well-known methods for controlling the quantum dynamics beyond the adiabatic criteria, where counter-diabatic (CD) driving provides a promising means to speed up quantum many-body systems. In this work, we show…

Topological quantum computation has been extensively studied due to its robustness against decoherence. A conventional way to realize it is by adiabatic operations---it requires relatively long time to accomplish so that the speed of…

Mesoscale and Nanoscale Physics · Physics 2016-09-19 Z. C. Shi , X. X. Yi

There are a number of tasks in quantum information science that exploit non-transitional adiabatic dynamics. Such a dynamics is bounded by the adiabatic theorem, which naturally imposes a speed limit in the evolution of quantum systems.…

Quantum Physics · Physics 2014-03-04 Marcela Herrera , Marcelo S. Sarandy , Eduardo I. Duzzioni , Roberto M. Serra

Adiabatic pumping is a fundamental concept in the time-dependent transport of mesoscopic devices. To maximize pumping performance, i.e., the amount of pumping per unit time, it is necessary to carefully manage the driving speed, which…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Masahiro Hasegawa , Takeo Kato

Counterdiabatic (CD) driving has the potential to speed up adiabatic quantum state preparation by suppressing unwanted excitations. However, existing approaches either require intractable classical computations or are based on…

Quantum Physics · Physics 2025-11-03 Jernej Rudi Finžgar , Simone Notarnicola , Madelyn Cain , Mikhail D. Lukin , Dries Sels

Adiabatic quantum computing (AQC) started as an approach to solving optimization problems, and has evolved into an important universal alternative to the standard circuit model of quantum computing, with deep connections to both classical…

Quantum Physics · Physics 2018-02-05 Tameem Albash , Daniel A. Lidar

One of the goals in quantum simulation is to adiabatically generate the ground state of a complicated Hamiltonian by starting with the ground state of a simple Hamiltonian and slowly evolving the system to the complicated one. If the…

Quantum Physics · Physics 2015-08-24 Bryce Yoshimura , J. K. Freericks

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…

Quantum Physics · Physics 2009-11-13 Vinitha Balachandran , Jiangbin Gong

We introduce an adiabatic state preparation protocol which implements quantum imaginary time evolution under the Hamiltonian of the system. Unlike the original quantum imaginary time evolution algorithm, adiabatic quantum imaginary time…

Quantum Physics · Physics 2024-04-23 Kasra Hejazi , Mario Motta , Garnet Kin-Lic Chan

The anomalous dynamical evolution and the crossing of nonadiabatic energy levels are investigated for exactly solvable time-dependent quantum systems through a reverse-engineering scheme. By exploiting a typical driven model, we elucidate…

Quantum Physics · Physics 2020-01-08 Hong Cao , Shao-Wu Yao , Li-Xiang Cen

Geometric phase has the intrinsic property of being resistant to some types of local noises as it only depends on global properties of the evolution path. Meanwhile, the non-Abelian geometric phase is in the matrix form, and thus can…

Quantum Physics · Physics 2023-07-28 Yan Liang , Pu Shen , Tao Chen , Zheng-Yuan Xue

We show that, during adiabatic evolution, any changes in entanglement can be attributed to a succession of avoided energy level crossings at which eigenvalues swap their eigenvectors. These swaps mediate the generation and redistribution of…

Quantum Physics · Physics 2025-08-14 Einar Gabbassov , Achim Kempf

A general time-dependent quantum system can be driven fast from its initial ground state to its final ground state without generating transitions by adding a steering term to the Hamiltonian. We show how this technique can be modified to…

Quantum Physics · Physics 2018-12-11 A. Barış Özgüler , Robert Joynt , Maxim G. Vavilov

The superadiabatic quantum driving, producing a perfect adiabatic transfer on a given Hamitonian by introducing an additional Hamiltonian, is theoretically analysed for transfers within a three-level system. Our starting point is the…

Quantum Physics · Physics 2016-11-18 Luigi Giannelli , Ennio Arimondo

Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

Quantum Physics · Physics 2024-10-24 Paul Manuel Schindler , Marin Bukov

Adiabatic time evolution of quantum systems is a widely used tool with applications ranging from state preparation through simplifications of computations and topological transformations to optimization and quantum computing. Adiabatic time…

Quantum Physics · Physics 2024-06-27 Hadi Yarloo , Hua-Chen Zhang , Anne E. B. Nielsen

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…

Quantum Physics · Physics 2024-04-15 T. Z. Luan , H. Z. Shen , X. X. Yi