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The adiabatic manipulation of quantum states is a powerful technique that has opened up new directions in quantum engineering, enabling tests of fundamental concepts such as the Berry phase and its nonabelian generalization, the observation…

Quantum Physics · Physics 2016-11-29 K. S. Kumar , A. Vepsalainen , S. Danilin , G. S. Paraoanu

We have investigated pumping in quantum dots from the perspective of non-Abelian (matrix) Berry phases by solving the time dependent Schr{\"o}dinger equation exactly for adiabatic changes. Our results demonstrate that a pumped charge is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. Y. Hwang , S. C. Kim , P. S. Park , S. -R. Eric Yang

Validity conditions for the adiabatic approximation are useful tools to understand and predict the quantum dynamics. Remarkably, the resonance phenomenon in oscillating quantum systems has challenged the adiabatic theorem. In this scenario,…

Non-adiabatic molecular phenomena, arising from the breakdown of the Born-Oppenheimer approximation, govern the fate of virtually all photo-physical and photochemical processes and limit the quantum efficiency of molecules and other…

Quantum Physics · Physics 2024-05-15 N. S. Bassler , M. Reitz , R. Holzinger , A. Vibók , G. J. Halász , B. Gurlek , C. Genes

In this paper the evolution of a quantum system drived by a non-Hermitian Hamiltonian depending on slowly-changing parameters is studied by building an universal high-order adiabatic approximation(HOAA) method with Berry's phase ,which is…

High Energy Physics - Theory · Physics 2009-10-22 Chang-Pu Sun

The nonadiabatic geometric quantum computation may be achieved using coupled low-capacitance Josephson juctions. We show that the nonadiabtic effects as well as the adiabatic condition are very important for these systems. Moreover, we find…

Quantum Physics · Physics 2009-11-07 Shi-Liang Zhu , Z. D. Wang

The design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of…

Quantum Physics · Physics 2020-02-12 Bertúlio de Lima Bernardo

For multi-level time-dependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the adiabatic limit. Based on results from [BeTe1] for special…

Mathematical Physics · Physics 2009-11-10 Volker Betz , Stefan Teufel

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, e-print quant-ph/0404147). We also critically examine a recent argument claiming that…

Quantum Physics · Physics 2007-05-23 M. S. Sarandy , L. -A. Wu , D. A. Lidar

We provide a rigorous generalization of the quantum adiabatic theorem for open systems described by a Markovian master equation with time-dependent Liouvillian $\mathcal{L}(t)$. We focus on the finite system case relevant for adiabatic…

Quantum Physics · Physics 2016-03-21 Lorenzo Campos Venuti , Tameem Albash , Daniel A. Lidar , Paolo Zanardi

We generalize the adiabatic approximation to the case of open quantum systems, in the joint limit of slow change and weak open system disturbances. We show that the approximation is ``physically reasonable'' as under wide conditions it…

Quantum Physics · Physics 2016-08-16 Patrik Thunström , Johan Åberg , Erik Sjöqvist

The smallness of the variation rate of the hamiltonian matrix elements compared to the (square of the) energy spectrum gap is usually believed to be the key parameter for a quantum adiabatic evolution. However it is only perturbatively…

Quantum Physics · Physics 2007-05-23 Daniel Comparat

We study the adiabatic limit in the density matrix approach for a quantum system coupled to a weakly dissipative medium. The energy spectrum of the quantum model is supposed to be non-degenerate. In the absence of dissipation, the geometric…

Quantum Physics · Physics 2015-06-26 A. C. Aguiar Pinto , K. M. Fonseca Romero , M. T. Thomaz

A generalized formalism of the so-called non-adiabatic quantum molecular dynamics is presented, which applies for atomic many-body systems in external laser fields. The theory treats the nuclear dynamics and electronic transitions…

Atomic Physics · Physics 2007-05-23 Thomas Kunert , Ruediger Schmidt

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity…

Quantum Physics · Physics 2020-09-30 S. Alipour , A Chenu , A. T. Rezakhani , A. del Campo

Suppressing undesired nonunitary effects is a major challenge in quantum computation and quantum control. In this work, by considering the adiabatic dynamics in presence of a surrounding environment, we theoretically and experimentally…

We introduce a method where successive coordinate transformations are applied to decrease the error in the adiabatic master equation resulting from truncation in the local adiabatic parameter. Our method reduces the nonphysical behaviour…

Superconductivity · Physics 2011-12-22 Juha Salmilehto , Mikko Möttönen

In the conventional quantum mechanics (i.e., hermitian QM) the adia- batic theorem for systems subjected to time periodic fields holds only for bound systems and not for open ones (where ionization and dissociation take place) [D. W. Hone,…

Atomic Physics · Physics 2009-11-11 Avner Fleischer , Nimrod Moiseyev

We study quantum dynamics of Grover's adiabatic search algorithm with the equivalent two-level system. Its adiabatic and non-adiabatic evolutions are visualized as trajectories of Bloch vectors on a Bloch sphere. We find the change in the…

Quantum Physics · Physics 2020-05-28 Sangchul Oh , Sabre Kais

We study the evolution of the energy and magnetic moment of a quantum charged particle placed in a homogeneous magnetic field, when this field changes adiabatically its sign. We show that after a single magnetic field passage through zero…

Quantum Physics · Physics 2023-04-11 Viktor V. Dodonov , Alexandre V. Dodonov