{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T16:00:40Z","timestamp":1765382440816,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,22]],"date-time":"2023-01-22T00:00:00Z","timestamp":1674345600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the EUR-EIPHI Graduate School","award":["17-EURE-0002","765075"],"award-info":[{"award-number":["17-EURE-0002","765075"]}]},{"name":"the European Union\u2019s Horizon 2020 research and innovation program","award":["17-EURE-0002","765075"],"award-info":[{"award-number":["17-EURE-0002","765075"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We investigate the problem of population transfer in a two-states system driven by an external electromagnetic field featuring a few cycles, until the extreme limit of two or one cycle. Taking the physical constraint of zero-area total field into account, we determine strategies leading to ultrahigh-fidelity population transfer despite the failure of the rotating wave approximation. We specifically implement adiabatic passage based on adiabatic Floquet theory for a number of cycles as low as 2.5 cycles, finding and making the dynamics follow an adiabatic trajectory connecting the initial and targeted states. Nonadiabatic strategies with shaped or chirped pulses, extending the \u03c0-pulse regime to two- or single-cycle pulses, are also derived.<\/jats:p>","DOI":"10.3390\/e25020212","type":"journal-article","created":{"date-parts":[[2023,1,23]],"date-time":"2023-01-23T02:27:45Z","timestamp":1674440865000},"page":"212","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Quantum Control by Few-Cycles Pulses: The Two-Level Problem"],"prefix":"10.3390","volume":"25","author":[{"given":"Fran\u00e7ois","family":"Peyraut","sequence":"first","affiliation":[{"name":"ICB, UMR 6303, CNRS, University Bourgogne Franche-Comt\u00e9, UTBM, 90010 Belfort, France"}]},{"given":"Fr\u00e9d\u00e9ric","family":"Holweck","sequence":"additional","affiliation":[{"name":"ICB, UMR 6303, CNRS, University Bourgogne Franche-Comt\u00e9, UTBM, 90010 Belfort, France"},{"name":"Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9826-9598","authenticated-orcid":false,"given":"St\u00e9phane","family":"Gu\u00e9rin","sequence":"additional","affiliation":[{"name":"ICB, UMR 6303, CNRS, University of Bourgogne, 21000 Dijon, France"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Shapiro, M., and Brumer, P. (2012). Quantum Control of Molecular Processes, Wiley-VCH.","DOI":"10.1002\/9783527639700"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Shore, B.W. (2011). Manipulating Quantum Structure Using Laser Pulses, Cambridge University Press.","DOI":"10.1017\/CBO9780511675713"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1003","DOI":"10.1103\/RevModPhys.70.1003","article-title":"Coherent population transfer among quantum states of atoms and molecules","volume":"70","author":"Bergmann","year":"1998","journal-title":"Rev. Mod. Phys."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"103036","DOI":"10.1088\/1367-2630\/13\/10\/103036","article-title":"Highly efficient source for indistinguishable single photons of controlled shape","volume":"13","author":"Dilley","year":"2011","journal-title":"New J. Phys."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"045422","DOI":"10.1103\/PhysRevB.93.045422","article-title":"Adiabatic passage mediated by plasmons: A route towards a decoherence-free quantum plasmonic platform","volume":"93","author":"Rousseaux","year":"2016","journal-title":"Phys. Rev. B"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"243902","DOI":"10.1103\/PhysRevLett.119.243902","article-title":"Non-linear stimulated Raman exact passage by resonance-locked inverse engineering","volume":"119","author":"Dorier","year":"2017","journal-title":"Phys. Rev. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"040303","DOI":"10.1103\/PRXQuantum.2.040303","article-title":"Quantum State Control of a Bose-Einstein Condensate in Optical Lattice","volume":"2","author":"Dupont","year":"2021","journal-title":"PRX Quantum"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"110501","DOI":"10.1103\/PhysRevLett.103.110501","article-title":"Simple pulses for elimination of leakage in weakly nonlinear qubits","volume":"103","author":"Motzoi","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"eaau5999","DOI":"10.1126\/sciadv.aau5999","article-title":"Superadiabatic population transfer in a three-level superconducting circuit","volume":"5","author":"Danilin","year":"2019","journal-title":"Sci. Adv."},{"key":"ref_10","unstructured":"Nielson, M.A., and Chuang, I.L. (2000). Quantum Computation and Quantum Information, Cambridge University Press."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"062309","DOI":"10.1103\/PhysRevA.72.062309","article-title":"Fast SWAP gate by adiabatic passage","volume":"72","author":"Sangouard","year":"2005","journal-title":"Phys. Rev. A"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"052317","DOI":"10.1103\/PhysRevA.87.052317","article-title":"Designing short robust NOT gates for quantum computation","volume":"87","author":"Jones","year":"2013","journal-title":"Phys. Rev. A"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"032328","DOI":"10.1103\/PhysRevA.87.032328","article-title":"Arbitrary qudit gates by adiabatic passage","volume":"87","author":"Rousseaux","year":"2013","journal-title":"Phys. Rev. A"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"035005","DOI":"10.1103\/RevModPhys.91.035005","article-title":"Quantum control of molecular rotation","volume":"91","author":"Koch","year":"2019","journal-title":"Rev. Mod. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"013403","DOI":"10.1103\/PhysRevA.83.013403","article-title":"Field-free quantum cogwheel by shaping of rotational wave packets","volume":"83","author":"Lapert","year":"2011","journal-title":"Phys. Rev. A"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"015006","DOI":"10.1103\/RevModPhys.89.015006","article-title":"Stimulated Raman adiabatic passage in physics, chemistry, and beyond","volume":"89","author":"Vitanov","year":"2017","journal-title":"Rev. Mod. Phys."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"043407","DOI":"10.1103\/PhysRevA.65.043407","article-title":"Topology of adiabatic passage","volume":"65","author":"Yatsenko","year":"2002","journal-title":"Phys. Rev. A"},{"key":"ref_18","first-page":"147","article-title":"Control of Quantum Dynamics by Laser Pulses: Adiabatic Floquet Theory","volume":"125","author":"Jauslin","year":"2003","journal-title":"Adv. Chem. Phys."},{"key":"ref_19","unstructured":"Levitt, M.H. (2008). Spin Dynamics: Basics of Nuclear Magnetic Resonance, John Wiley and Sons."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"233001","DOI":"10.1103\/PhysRevLett.106.233001","article-title":"High-fidelity adiabatic passage by composite sequences of chirped pulses","volume":"106","author":"Torosov","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"043001","DOI":"10.1103\/PhysRevLett.113.043001","article-title":"Correction of Arbitrary Field Errors in Population Inversion of Quantum Systems by Universal Composite Pulses","volume":"113","author":"Genov","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1140\/epjqt\/s40507-022-00138-x","article-title":"Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe","volume":"9","author":"Koch","year":"2022","journal-title":"EPJ Quantum Technol."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"030203","DOI":"10.1103\/PRXQuantum.2.030203","article-title":"Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control","volume":"2","author":"Boscain","year":"2021","journal-title":"PRX Quantum"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2107","DOI":"10.1063\/1.1465516","article-title":"Optimal control in laser-induced population transfer for two- and three-level quantum systems","volume":"43","author":"Boscain","year":"2002","journal-title":"J. Math. Phys."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"050404","DOI":"10.1103\/PhysRevLett.111.050404","article-title":"Robust Quantum Control by a Single-Shot Shaped Pulse","volume":"111","author":"Daems","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"250403","DOI":"10.1103\/PhysRevLett.125.250403","article-title":"Optimal robust quantum control by inverse geometric optimization","volume":"125","author":"Dridi","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"123003","DOI":"10.1103\/PhysRevLett.105.123003","article-title":"Shortcut to Adiabatic Passage in Two- and Three-Level Atoms","volume":"105","author":"Chen","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"045001","DOI":"10.1103\/RevModPhys.91.045001","article-title":"Shortcuts to adiabaticity: Concepts, methods, and applications","volume":"91","author":"Ruschhaupt","year":"2019","journal-title":"Rev. Mod. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"L040401","DOI":"10.1103\/PhysRevA.103.L040401","article-title":"Breaking adiabatic quantum control with deep learning","volume":"103","author":"Ding","year":"2021","journal-title":"Phys. Rev. A"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"128054","DOI":"10.1016\/j.physleta.2022.128054","article-title":"A tutorial on optimal control and reinforcement learning methods for quantum technologies","volume":"434","author":"Giannelli","year":"2022","journal-title":"Phys. Lett. A"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"K\u00e4rtner, F.X. (2004). Few-Cycle Laser Pulse Generation and Its Applications, Springer.","DOI":"10.1007\/b88427"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1103\/RevModPhys.72.545","article-title":"Intense few-cycle laser fields: Frontiers of nonlinear optics","volume":"72","author":"Brabec","year":"2000","journal-title":"Rev. Mod. Phys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"103002","DOI":"10.1103\/PhysRevLett.112.103002","article-title":"Terahertz-Induced Field-Free Orientation of Rotationally Excited Molecules","volume":"112","author":"Egodapitiya","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"013201","DOI":"10.1103\/PhysRevLett.125.013201","article-title":"Long-Lasting Molecular Orientation Induced by a Single Terahertz Pulse","volume":"125","author":"Xu","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"063124","DOI":"10.1103\/PhysRevA.102.063124","article-title":"Orientational quantum revivals induced by a single-cycle terahertz pulse","volume":"102","author":"Shu","year":"2020","journal-title":"Phys. Rev. A"},{"key":"ref_36","unstructured":"Shore, B.W. (1990). The Theory of Coherent Atomic Excitation, Wiley."},{"key":"ref_37","unstructured":"Wolf, E. (2008). Progress in Optics, Elsevier."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1098\/rspa.1987.0131","article-title":"Quantum phase corrections from adiabatic iteration","volume":"414","author":"Berry","year":"1987","journal-title":"Proc. R. Soc. Lond. A"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"023409","DOI":"10.1103\/PhysRevA.65.023409","article-title":"Optimization of population transfer by adiabatic passage","volume":"65","author":"Thomas","year":"2002","journal-title":"Phys. Rev. A"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"043408","DOI":"10.1103\/PhysRevA.80.043408","article-title":"Ultrafast stimulated Raman parallel adiabatic passage by shaped pulses","volume":"80","author":"Dridi","year":"2009","journal-title":"Phys. Rev. A"},{"key":"ref_41","first-page":"01343","article-title":"Optimal adiabatic passage by shaped pulses: Efficiency and robustness","volume":"84","author":"Hakobyan","year":"2011","journal-title":"Phys. Rev. A"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"023416","DOI":"10.1103\/PhysRevA.73.023416","article-title":"Complete population transfer by a zero-area pulse","volume":"73","author":"Vasilev","year":"2006","journal-title":"Phys. Rev. A"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"013402","DOI":"10.1103\/PhysRevA.71.013402","article-title":"State-selective chirped adiabatic passage on dynamically laser-aligned molecules","volume":"71","author":"Thomas","year":"2005","journal-title":"Phys. Rev. A"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1016\/j.apnum.2005.06.006","article-title":"Globally conservative properties and error estimation of a multi-symplectic scheme for Schr\u00f6dinger equations with variable coefficients","volume":"56","author":"Hong","year":"2006","journal-title":"Appl. Numer. Math."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/25\/2\/212\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:13:11Z","timestamp":1760119991000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/25\/2\/212"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,22]]},"references-count":44,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["e25020212"],"URL":"https:\/\/doi.org\/10.3390\/e25020212","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2023,1,22]]}}}