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We study Landau-Zener transitions in a dissipative environment by means of the numerically exact quasiadiabatic propagator path-integral. It allows to cover the full range of the involved parameters. We discover a nonmonotonic dependence of…

介观与纳米尺度物理 · 物理学 2011-07-19 Peter Nalbach , Michael Thorwart

Many years have passed since the conception of the quintessential method of shortcut to adiabaticity known as counterdiabatic driving (or transitionless quantum driving). Yet, this method appears to be energetically cost-free and thus…

量子物理 · 物理学 2025-12-04 Lucas P. Kamizaki , Marcus V. S. Bonança

By considering a quantum critical Lipkin-Meshkov-Glick model we analyze a new type of Landau-Zener transitions where the population transfer is mediated by interaction rather than from a direct diabatic coupling. For this scenario, at a…

量子物理 · 物理学 2014-09-15 Jonas Larson

We calculate the propagator and the transition probabilities for a coherently driven three-state quantum system. The energies of the three states change linearly in time, whereas the interactions between them are pulse-shaped. We derive a…

量子物理 · 物理学 2009-11-13 S. S. Ivanov , N. V. Vitanov

We propose an efficientmethod to construct shortcuts to adiabaticity through designing a substitute Hamiltonian to try to avoid the defect in which the speed-up protocol' Hamiltonian may involve terms which are difficult to realize in…

量子物理 · 物理学 2016-05-17 Ye-Hong Chen , Yan Xia , Qi-Cheng Wu , Bi-Hua Huang , Jie Song

This paper considers population transfer between eigenstates of a finite quantum ladder controlled by a classical electric field. Using an appropriate change of variables, we show that this setting can be set in the framework of adiabatic…

量子物理 · 物理学 2013-04-16 Zaki Leghtas , Alain Sarlette , Pierre Rouchon

We use optimal control theory to obtain shortcuts to adiabaticity which maximize population transfer in a three-level STIRAP system, for a given finite duration of the process and specified dissipation rate at the intermediate state. We fix…

量子物理 · 物理学 2022-12-27 Dionisis Stefanatos , Emmanuel Paspalakis

We consider nonadiabatic systems in which the classical Born-Oppenheimer approximation breaks down. We present a general theory that accurately captures the full transmitted wavepacket after multiple transitions through either a single or…

化学物理 · 物理学 2018-04-16 Benjamin D. Goddard , Tim Hurst

We study the Landau-Zener Problem for a decaying two-level-system described by a non-hermitean Hamiltonian, depending analytically on time. Use of a super-adiabatic basis allows to calculate the non-adiabatic transition probability P in the…

量子物理 · 物理学 2009-11-13 R. Schilling , Mark Vogelsberger , D. A. Garanin

We present a robust pulse optimization method for adiabatic population transfer and adiabatic quantum computation. The approach relies on identifying control pulses that keep the evolving quantum system close to its instantaneous ground…

量子物理 · 物理学 2026-02-06 Daniel Turyansky , Yehonatan Zolti , Yuval Cohen , Adi Pick

We study a qubit undergoing Landau-Zener transitions enabled by the coupling to a circuit-QED mode. Summing an infinite-order perturbation series, we determine the exact nonadiabatic transition probability for the qubit, being independent…

介观与纳米尺度物理 · 物理学 2009-11-11 Keiji Saito , Martijn Wubs , Sigmund Kohler , Peter Hanggi , Yosuke Kayanuma

A population transfer based on adiabatic evolutions in a three-state system undergoing an avoided crossing is considered. The efficiency of the process is analyzed in connection with the relevant parameters, bringing to light an important…

量子物理 · 物理学 2019-03-27 Benedetto Militello

We propose a methodology to design optimal pulses for achieving quantum optimal control on molecular systems. Our approach constrains pulse shapes to linear combinations of a fixed number of experimentally relevant pulse functions. Quantum…

量子物理 · 物理学 2015-10-28 Ruben D. Guerrero , Carlos A. Arango , Andres Reyes

Accurate and efficient quantum control in the presence of constraints and decoherence is a requirement and a challenge in quantum information processing. Shortcuts to adiabaticity, originally proposed to speed up slow adiabatic process,…

Non-adiabatic transitions are studied in a spin-boson model with multiple scattering points. In order to generalize the Landau-Zener formula, which describes the case of a single scattering point, we define an ``effective gap'' for a set of…

统计力学 · 物理学 2015-06-25 Hiroto Kobayashi , Naomichi Hatano , Seiji Miyashita

This paper presents analytic formulas for various transition times in the Landau-Zener model. Considerable differences are found between the transition times in the diabatic and adiabatic bases, and between the jump time (the time for which…

量子物理 · 物理学 2009-10-31 N. V. Vitanov

We introduce a geometric framework for efficient few-parameter pulse optimization in multi-level quantum systems, enabling high-fidelity state transfer beyond the adiabatic limit. Our method interpolates smoothly between adiabatic and…

We consider the optimal control problem of transferring population between states of a quantum system where the coupling proceeds only via intermediate states that are subject to decay. We pose the question whether it is generally possible…

量子物理 · 物理学 2013-05-30 Haidong Yuan , Christiane Koch , Peter Salamon , David Tannor

Non-Hermitian quantum systems with explicit time dependence are of ever-increasing importance. There are only a handful of models that have been analytically studied in this context. Here, a PT-symmetric non-Hermitian $N$-level Landau-Zener…

量子物理 · 物理学 2022-07-27 Rishindra Melanathuru , Simon Malzard , Eva-Maria Graefe

A shortcut to adiabaticity is a finite-time process that produces the same final state as would result from infinitely slow driving. We show that such shortcuts can be found for weak perturbations from linear response theory. With the help…

统计力学 · 物理学 2015-10-28 Thiago V. Acconcia , Marcus V. S. Bonança , Sebastian Deffner