Coalescence of two branch points in complex time marks the end of rapid adiabatic passage and the start of Rabi oscillations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389021%3A_____%2F22%3A00559105" target="_blank" >RIV/61389021:_____/22:00559105 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68378271:_____/22:00559105

Výsledek na webu

<a href="https://doi.org/10.1088/1751-8121/ac76f7" target="_blank" >https://doi.org/10.1088/1751-8121/ac76f7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/ac76f7" target="_blank" >10.1088/1751-8121/ac76f7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Coalescence of two branch points in complex time marks the end of rapid adiabatic passage and the start of Rabi oscillations

Popis výsledku v původním jazyce

We study theoretically the population transfer in two-level atoms driven by chirped lasers. It is known that in the Hermitian case, the rapid adiabatic passage (RAP) is stable for an above-critical chirp below which the final populations of states Rabi oscillate with varying laser power. We show that if the excited state is represented by a resonance, the separatrix marking this critical phenomenon in the space of the laser pulse parameters emanates from an exceptional point (EP). This critical phenomenon is neatly understood via extending the 'slow' time variable into the complex plane, uncovering a set of branch points which encode non-adiabatic dynamics, where the switch between RAP and Rabi oscillations is triggered by a coalescence of two such branch points. We assert that the intriguing interrelation between the two different singularities - the EP and the branch point coalescence in complex time plane - can motivate feasible experiments involving laser driven atoms.n

Název v anglickém jazyce

Coalescence of two branch points in complex time marks the end of rapid adiabatic passage and the start of Rabi oscillations

Popis výsledku anglicky

We study theoretically the population transfer in two-level atoms driven by chirped lasers. It is known that in the Hermitian case, the rapid adiabatic passage (RAP) is stable for an above-critical chirp below which the final populations of states Rabi oscillate with varying laser power. We show that if the excited state is represented by a resonance, the separatrix marking this critical phenomenon in the space of the laser pulse parameters emanates from an exceptional point (EP). This critical phenomenon is neatly understood via extending the 'slow' time variable into the complex plane, uncovering a set of branch points which encode non-adiabatic dynamics, where the switch between RAP and Rabi oscillations is triggered by a coalescence of two such branch points. We assert that the intriguing interrelation between the two different singularities - the EP and the branch point coalescence in complex time plane - can motivate feasible experiments involving laser driven atoms.n

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Physics A-Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Svazek periodika

55

Číslo periodika v rámci svazku

28

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

28

Strana od-do

284001

Kód UT WoS článku

000820869100001

EID výsledku v databázi Scopus

2-s2.0-85134382290