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We discuss adiabatic quantum phenomena at a level crossing. Given a path in the parameter space which passes through a degeneracy point, we find a criterion which determines whether the adiabaticity condition can be satisfied. For paths…

Quantum Physics · Physics 2007-05-23 Mateusz Cholascinski

Adiabatic passage techniques, used to drive a system from one quantum state into another, find widespread application in physics and chemistry. We focus on techniques to spatially transport a quantum amplitude over a strongly coupled…

Quantum Physics · Physics 2020-07-15 Koen Groenland , Carla Groenland , Reinier Kramer

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

Nontrivial spectral properties of non-Hermitian systems can give rise to intriguing effects that lack counterparts in Hermitian systems. For instance, when dynamically varying system parameters along a path enclosing an exceptional point…

Geometric phases of scattering states in a ring geometry are studied based on a variant of the adiabatic theorem. Three time scales, i.e., the adiabatic period, the system time and the dwell time, associated with adiabatic scattering in a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Huan-Qiang Zhou , Urban Lundin , Sam Young Cho

The active manipulation of topologically protected states represents a pivotal frontier for quantum technologies, offering a unique confluence of topological robustness and precise quantum control. We propose an adiabatic pumping scheme for…

Quantum Physics · Physics 2025-12-01 Yang Peng , Rui-Shan Li , Yan-Jue Lv , Yi Zheng

Treating a many-body Fermi system in terms of a single particle in a deforming mean field. We relate adiabatic geometric phase to susceptibility for the noncyclic case, and to its derivative for the cyclic case. Employing the semiclassical…

chao-dyn · Physics 2009-10-31 Sudhir R. Jain , Arun K. Pati

A novel method of coherent manipulation of the electron tunneling in quantum-dots is proposed, which utilizes the quantum interference in nonadiabatic double-crossing of the discrete energy levels. In this method, we need only a smoothly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Keiji Saito , Yosuke Kayanuma

By developing the preceding work on the fast forward of transient phenomena of quantum tunneling by Khujakulov and Nakamura (Phys. Rev. {\bf A 93}, 022101 (2016) ), we propose a scheme of the exact fast forward of adiabatic control of…

Quantum Physics · Physics 2017-06-14 Katsuhiro Nakamura , Anvar Khujakulov , Sanat Avazbaev , Shumpei Masuda

Nonadiabatic holonomic quantum computation is a promising approach for implementing quantum gates that offers both efficiency and robustness against certain types of errors. A key element of this approach is a geometric constraint known as…

Quantum Physics · Physics 2025-05-20 Ole Sönnerborn

Geometric phases have stimulated researchers for its potential applications in many areas of science. One of them is fault-tolerant quantum computation. A preliminary requisite of quantum computation is the implementation of controlled…

Quantum Physics · Physics 2015-06-26 Ranabir Das , S. K. Karthick Kumar , Anil Kumar

Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. However, the conventional NGQC is that all of the gates are performed with exactly the sameamount of time, whether the geometric…

Quantum Physics · Physics 2020-11-18 Bao-Jie Liu , Shi-Lei Su , Man-Hong Yung

By adiabatically manipulating tunneling amplitudes of cold atoms in a periodic potential with a multiple sublattice structure, we are able to coherently transfer atoms from a sublattice to another without populating the intermediate…

Quantum Gases · Physics 2020-01-20 Shintaro Taie , Tomohiro Ichinose , Hideki Ozawa , Yoshiro Takahashi

An adiabatic approximation in terms of instantaneous resonances is developed to study the steady-state and time-dependent transport of interacting electrons in biased resonant tunneling heterostructures. The resulting model consists of…

Condensed Matter · Physics 2009-10-28 Carlo Presilla , Johannes Sjöstrand

We investigate the {\em nonlinearity-assisted quantum tunneling} and formation of nonlinear collective excitations in a matter-wave interferometer, which is realised by the adiabatic transformation of a double-well potential into a…

Other Condensed Matter · Physics 2007-10-25 Chaohong Lee , Elena A. Ostrovskaya , Yuri S. Kivshar

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

We explore to what extent path-integral quantum Monte Carlo methods can efficiently simulate the tunneling behavior of quantum adiabatic optimization algorithms. Specifically we look at symmetric cost functions defined over n bits with a…

Quantum Physics · Physics 2016-03-09 Lucas T. Brady , Wim van Dam

A scheme based on Coherent Tunneling by Adiabatic Passage (CTAP) of exchange-only spin qubit quantum states in a linearly arranged double quantum dot chain is demonstrated. Logical states for the qubit are defined by adopting the spin state…

Quantum Physics · Physics 2018-09-05 E. Ferraro , M. De Michielis , M. Fanciulli , E. Prati

Fast and robust quantum gates is the cornerstone of fault-tolerance quantum computation. In this paper, we propose to achieve quantum gates based on non-cyclic geometric evolution. Dynamical phase during the evolution is cancelled by…

Quantum Physics · Physics 2020-03-04 Qing-Xian Lv , Zhen-Tao Liang , Hong-Zhi Liu , Jia-Hao Liang , Kai-Yu Liao , Yan-Xiong Du

Adiabatic techniques are well known tools in multi-level electron systems to transfer population between different states with high fidelity. Recently it has been realised that these ideas can also be used in ultra-cold atom systems to…

Quantum Physics · Physics 2015-05-14 B. O'Sullivan , P. Morrissey , T. Morgan , Th. Busch
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