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We introduce an adiabatic perturbation theory for quantum systems with degenerate energy spectra. This perturbative series enables one to rigorously establish conditions for the validity of the adiabatic theorem of quantum mechanics for…

Quantum Physics · Physics 2015-05-18 Gustavo Rigolin , Gerardo Ortiz

We construct a measure for the adiabatic contribution to quantum transitions in an arbitrary basis, tackling the generic complex case where dynamics is only partially adiabatic, simultaneously populates several eigenstates and transitions…

Quantum Physics · Physics 2025-04-08 R. Pant , P. K. Verma , C. Rangi , E. Mondal , M. Bhati , V. Srinivasan , S. Wüster

We study the quantum dynamics of a two-level system driven by a pulse that starts near-resonant for small amplitudes, yielding nonadiabatic evolution, and induces an adiabatic evolution for larger amplitudes. This problem is analyzed in…

Quantum Physics · Physics 2009-11-10 L. P. Yatsenko , S. Guerin , H. R. Jauslin

We study defects in adiabatic control of a quantum system caused by the entanglement of the system with its environment. Such defects can be assimilated to decoherence processes due to perturbative couplings between the system and the…

Quantum Physics · Physics 2014-07-11 David Viennot

We demonstrate experimentally how the process of Stimulated Raman Adiabatic Passage (STIRAP) can be utilized for efficient coherent internal state transfer in single trapped and laser-cooled $^{40}$Ca$^+$ ions. The transfer from the…

It is shown that efficient and robust universal quantum computation is possible using the stimulated Raman adiabatic passage with a qubit chain as a pointer register.

Quantum Physics · Physics 2008-06-30 Toshio Ohshima

In atomic physics, adiabatic evolution is often used to achieve a robust and efficient population transfer. Many adiabatic schemes have also been implemented in optical waveguide structures. Recently there has been increasing interests in…

Quantum Physics · Physics 2015-06-05 Eva-Maria Graefe , Alexei A. Mailybaev , Nimrod Moiseyev

The Landau-Zener transition is a fundamental concept for dynamical quantum systems and has been studied in numerous fields of physics. Here we present a classical mechanical model system exhibiting analogous behaviour using two inversely…

Mesoscale and Nanoscale Physics · Physics 2012-08-10 Thomas Faust , Johannes Rieger , Maximilian J. Seitner , Peter Krenn , Jörg P. Kotthaus , Eva M. Weig

A numerical method is proposed for simulation of composite open quantum systems. It is based on Lindblad master equations and adiabatic elimination. Each subsystem is assumed to converge exponentially towards a stationary subspace, slightly…

Quantum Physics · Physics 2023-11-10 François-Marie Le Régent , Pierre Rouchon

Adiabatic quantum computing has demonstrated how quantum Zeno can be used to construct quantum optimisers. However, much less work has been done to understand how more general Zeno effects could be used in a similar setting. We use a…

Quantum Physics · Physics 2025-04-30 Jesse Berwald , Nicholas Chancellor , Raouf Dridi

Adiabatic techniques using multi-level systems have recently been generalised from the optical case to settings in atom optics, solid state and even classical electrodynamics. The most well known example of these is the so called STIRAP…

Quantum Physics · Physics 2010-07-23 S. McEndoo , S. Croke , J. Brophy , Th. Busch

Adiabatic state engineering is a powerful technique in quantum information and quantum control. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided…

Quantum Physics · Physics 2015-11-03 Alan C. Santos , Marcelo S. Sarandy

Adiabatic quantum optimization offers a new method for solving hard optimization problems. In this paper we calculate median adiabatic times (in seconds) determined by the minimum gap during the adiabatic quantum optimization for an NP-hard…

The results of simulations of cooling based on Sawtooth-Wave Adiabatic Passage (SWAP) are presented including the possibility of population leaking to states outside of the cycling transition. The amount of population leaking can be…

Atomic Physics · Physics 2020-01-22 Johann Gan , M. E. Pantalon , F. Robicheaux

We consider a periodically driven system where the high-frequency driving protocol consists of a sequence of potentials switched on and off at different instants within a period. We explore the possibility of introducing an adiabatic…

Quantum Physics · Physics 2025-02-26 Ashwin Murali , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

We propose a strategy for modeling the behavior of an adiabatic quantum computer described by an Ising Hamiltonian with $N$ sites and the coordination number $Z$. The method is based on the $1/Z$ expansion for the density matrix of the…

Quantum Physics · Physics 2018-04-10 Elnaz Darsheshdar , Seyed Mostafa Moniri , Patrick Navez , Alexandre Zagoskin

STIRAP (Stimulated Raman Adiabatic Passage) is a powerful laser-based method, usually involving two photons, for efficient and selective transfer of population between quantum states. A particularly interesting feature is the fact that the…

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…

Speeding up adiabatic method has attracted much attention with the wide applications in quantum information processing. In this paper, two kinds of methods, Lewis-Riesenfeld invariant-based inverse engineering and transitionless quantum…

Quantum Physics · Physics 2017-03-24 Feng-Yang Zhang , Wen-Lin Li , Yan Xia

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