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In this paper, the asymptotic behaviors of the transition probability for two-level avoided crossings are studied under the limit where two parameters (adiabatic parameter and energy gap parameter) tend to zero. This is a continuation of…

数学物理 · 物理学 2025-10-03 Kenta Higuchi , Takuya Watanabe

In a mesoscopic system, under zero bias voltage, a finite charge is transferred by quantum adiabatic pumping by adiabatically and periodically changing two or more control parameters. We obtained expressions for the pumped charge for a ring…

介观与纳米尺度物理 · 物理学 2016-09-22 Masahiko Taguchi , Satoshi Nakajima , Toshihiro Kubo , Yasuhiro Tokura

In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times $t\to \pm \infty$, the transition probabilities between adiabatic states are exponentially small. They are characterized by an…

量子物理 · 物理学 2009-10-31 Michael Wilkinson , Michael A. Morgan

Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations however, the efficiency of such transport is reduced by unwanted dissipation, back-scattering, and non-adiabatic effects. In this…

Stimulated Raman adiabatic passage is a quantum protocol that can be used for robust state preparation in a three-level system. It has been commonly employed in quantum optics, but recently this technique has drawn attention also in circuit…

量子物理 · 物理学 2018-10-31 A. Vepsäläinen , G. S. Paraoanu

We investigate a simple and robust scheme for choosing the phases of adiabatic electronic states smoothly (as a function of geometry) so as to maximize the performance of ab initio non-adiabatic dynamics methods. Our approach is based upon…

化学物理 · 物理学 2019-09-26 Zeyu Zhou , Zuxin Jin , Tian Qiu , Andrew M. Rappe , Joseph Eli Subotnik

Certain band insulators allow for the adiabatic pumping of quantized charge or spin for special time-dependences of the Hamiltonian. These "topological pumps" are closely related to two dimensional topological insulating phases of matter…

介观与纳米尺度物理 · 物理学 2013-07-31 Dganit Meidan , Tobias Micklitz , Piet W. Brouwer

We study the avoided crossings in the dynamics of quantum controlled excitations for an interacting two-boson system in an optical lattice. Specifically, we perform numerical simulations of quantum control in this system where driving…

原子物理 · 物理学 2010-08-23 Analabha Roy , Linda E. Reichl

We study the fate of two-dimensional quadratic band crossing topological phases under a one-dimensional quasiperiodic modulation. By employing numerically exact methods, we fully characterize the phase diagram of the model in terms of…

无序系统与神经网络 · 物理学 2024-09-19 Raul Liquito , Miguel Gonçalves , Eduardo V. Castro

A Thouless pump can be regarded as a dynamical version of the integer quantum Hall effect. In a finite-size configuration, such topological pump displays edge modes that emerge dynamically from one bulk-band and dive into the opposite…

介观与纳米尺度物理 · 物理学 2020-11-24 Wenting Cheng , Emil Prodan , Camelia Prodan

We study the process of nonlinear stimulated Raman adiabatic passage within a classical mean-fieldframework. Depending on the sign of interaction, the breakdown of adiabaticity in the interactingnonintegrable system is not related to…

量子气体 · 物理学 2019-01-02 Amit Dey , Doron Cohen , Amichay Vardi

We study Thouless pumping out of the adiabatic limit. Our findings show that despite its topological nature, this phenomenon is not {generically} robust to non-adiabatic effects. Indeed we find that the Floquet diagonal ensemble value of…

量子气体 · 物理学 2018-03-14 Lorenzo Privitera , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro

The ability to pump quantised amounts of charge is one of the hallmarks of topological materials. An archetypical example is Laughlin's gauge argument for transporting an integer number of electrons between the edges of a quantum Hall…

强关联电子 · 物理学 2020-05-13 Mariya A. Lizunova , Florian Schreck , Cristiane Morais Smith , Jasper van Wezel

We present a diagrammatic real-time approach to adiabatic pumping of electrons through interacting quantum dots. Performing a systematic perturbation expansion in the tunnel-coupling strength, we compute the charge pumped through a…

介观与纳米尺度物理 · 物理学 2016-08-16 Janine Splettstoesser , Michele Governale , Jürgen König , Rosario Fazio

We propose a scheme which can produce desired nonadiabatic passages for the stimulated Raman transition in three-level systems. The state transfer in the protocol is realized by following the evolution of the dynamical basis itself and no…

量子物理 · 物理学 2019-11-27 Hong Cao , Shao-Wu Yao , Li-Xiang Cen

Topological transport is determined by global properties of physical media where it occurs and is characterized by quantized amounts of adiabatically transported quantities. Discovered for periodic potentials it was also explored in…

We investigate adiabatic pumping through a quantum dot with a single level in the mixed-valence and Kondo regimes using the slave-boson mean field approximation. The pumped current is driven by a gauge potential due to time-dependent…

介观与纳米尺度物理 · 物理学 2007-05-23 Tomosuke Aono

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…

量子物理 · 物理学 2017-06-14 Katsuhiro Nakamura , Anvar Khujakulov , Sanat Avazbaev , Shumpei Masuda

Crossing a quantum critical point in finite time challenges the adiabatic condition due to the closing of the energy gap, which ultimately results in the formation of excitations. Such non-adiabatic excitations are typically deemed…

量子物理 · 物理学 2022-04-27 Obinna Abah , Gabriele De Chiara , Mauro Paternostro , Ricardo Puebla

We explore adiabatic pumping in the presence of periodic drive, finding a new phase in which the topologically quantized pumped quantity is energy rather than charge. The topological invariant is given by the winding number of the…