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Related papers: A criterion for population inversion by arbitrary …

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In the previous paper on this topic it was shown how, for a pulse of arbitrary shape and duration, the drive frequency can be analytically optimized to maximize the amplitude of the population oscillations between the selected two levels in…

Quantum Physics · Physics 2007-05-23 Duje Bonacci

We consider the dynamics of a two-level system (qubit) driven by strong and short resonant pulses in the framework of Floquet theory. First we derive analytical expressions for the quasienergies and Floquet states of the driven system. If…

Quantum Physics · Physics 2016-12-13 Chunqing Deng , Feiruo Shen , Sahel Ashhab , Adrian Lupascu

In this work, we exploit the idea of composite pulses to achieve robust population inversion in a three-level quantum system. The scheme is based on the modulation of the coupling strength, while the other physical parameters remain…

Quantum Physics · Physics 2022-04-11 Cheng Zhang , Yang Liu , Zhi-Cheng Shi , Jie Song , Yan Xia , Shi-Biao Zheng

We apply reverse-engineering to find electromagnetic pulses that allow for the control of populations in quantum systems under dephasing and thermal noises. In particular, we discuss two-level systems given their importance in the…

Quantum Physics · Physics 2019-07-10 I. Medina , F. L. Semião

We present a detailed quantum theory and simulations of a few-photon Fock state pulse interacting with a two-level system (TLS) in a waveguide. For a rectangular pulse shape, we present an exact temporal scattering theory for the…

Quantum Physics · Physics 2024-10-08 Sofia Arranz Regidor , Andreas Knorr , Stephen Hughes

The effect of a time-periodic perturbation, such as radiation, on a system otherwise at equilibrium has been studied in the context of Floquet theory with stationary states replaced by Floquet states and the energy replaced by quasienergy.…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ranjani Seshadri , T. Pereg-Barnea

At the moment, the most efficient method to compute the state of a periodically driven quantum system is using Floquet theory and the Floquet eigenbasis. The wide application of this basis set method is limited by: a lack of unique ordering…

Quantum Physics · Physics 2020-10-21 Cristian M. Le , Ryosuke Akashi , Shinji Tsuneyuki

We design, by invariant-based inverse engineering, driving fields that invert the population of a two-level atom in a given time, robustly with respect to dephasing noise and/or systematic frequency shifts. Without imposing constraints,…

Quantum Physics · Physics 2013-09-10 Xiao-Jing Lu , Xi Chen , A. Ruschhaupt , D. Alonso , S. Guérin , J. G. Muga

We propose a method to obtain Floquet states---also known as light-induced states---and their quasi-energies from real-time wavefunctions without solving the Floquet equation. This is useful for the analysis of various phenomena in…

Atomic Physics · Physics 2017-11-21 V. Kapoor , D. Bauer

We introduce an intuitive and semi-analytical polaron master equation approach to model pulse-driven population inversion and emitted single photons from a quantum dot exciton. The master equation theory allows one to identify important…

Quantum Physics · Physics 2016-05-04 Ross Manson , Kaushik Roy-Choudhury , Stephen Hughes

We study the dynamics of a two-level quantum system under the influence of sinusoidal driving in the intermediate frequency regime. Analyzing the Floquet quasienergy spectrum, we find combinations of the field parameters for which…

Quantum Physics · Physics 2014-12-04 P. M. Poggi , F. J. Arranz , R. M. Benito , F. Borondo , D. A. Wisniacki

We consider population models in which the individuals reproduce, die and also migrate in space. The population size scales according to some parameter $N$, which can have different interpretations depending on the context. Each individual…

Probability · Mathematics 2012-12-21 Ankit Gupta

We introduce a method to rotate arbitrarily the excitation profile of universal broadband composite pulse sequences for robust high-fidelity population inversion. These pulses compensate deviations in any experimental parameter (e.g. pulse…

Quantum Physics · Physics 2020-02-20 Genko T. Genov , Marcel Hain , Nikolay V. Vitanov , Thomas Halfmann

We present a simple approach allowing to obtain analytical expressions for laser pulses that can drive a two-level system in an arbitrarily chosen way. The proposed scheme relates every desired population-evolution path to a single resonant…

Quantum Physics · Physics 2015-02-18 Nikolay V. Golubev , Alexander I. Kuleff

The Poincar\'e recurrence theorem shows that conservative systems in a bounded region of phase space eventually return arbitrarily close to their initial state after a finite amount of time. An analogous behavior occurs in certain quantum…

Quantum Physics · Physics 2026-04-22 Amit Anand , Dinesh Valluri , Jack Davis , Shohini Ghose

A coherent control scheme for the population distribution in the vibrational states of nonpolar molecules is proposed. Our theoretical analysis and results of numerical simulations for the interaction of the hydrogen molecular ion in its…

Quantum Physics · Physics 2011-02-17 A. Picón , J. Biegert , A. Jaron-Becker , A. Becker

A technique for complete population transfer between the two end states $\ket{1}$ and $\ket{3}$ of a three-state quantum system with a train of $N$ pairs of resonant and coincident pump and Stokes pulses is introduced. A simple analytic…

Quantum Physics · Physics 2015-06-03 Andon A. Rangelov , Nikolay V. Vitanov

We investigate the population dynamics of the three-level system in the two-photon absorption (TPA) process, mainly focusing the influence of pulse width and Rabi frequency on the population dynamics of the system. We observe the dependency…

Optics · Physics 2013-07-23 Nam-Chol Kim , Myong-Chol Ko , Song-Jin Im , Zhong-Hua Hao

We introduce universal broadband composite pulse sequences for robust high-fidelity population inversion in two-state quantum systems, which compensate deviations in any experimental parameter (e.g. pulse amplitude, pulse duration, detuning…

Quantum Physics · Physics 2015-06-19 Genko T. Genov , Daniel Schraft , Thomas Halfmann , Nikolay V. Vitanov

An enviromental-random effect over a deterministic population mo\-del, a resource ({\it e.g.}, a fish stock) is introduced. It is assumed that the harvest activity is concentrated at a non predetermined sequence of instants, at which the…

Probability · Mathematics 2014-07-01 Ricardo Castro-Santis , Fernado Cordova , Walter Chambio
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