Magnus expansion applied to a dissipative driven two-level system

Begzjav, Tuguldur; Eleuch, Hichem

doi:10.1016/j.rinp.2020.103098

Cited by 9 publications

(10 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Quantitative methods constructed in the existing studies are necessary and helpful, which have become an irresistible trend for researching on the energy transition issue (Coester et al, 2018;Wainstein et al, 2019;Zhao, 2019). Begzjav and Eleuch (2020) focused on a dissipative system which can develop from the disorder state to the order state spontaneously with the interaction between a series of interrelated sub-systems. Kirill et al (2020) introduced some new cost indicators to improve the orderliness of the energy structure.…”

Section: Literature Reviewmentioning

confidence: 99%

Research on the Orderliness Synergy Between Conventional and Nonconventional for Energy Transition in China

Liu

Lu²,

Zhao³

2022

Front. Energy Res.

View full text Add to dashboard Cite

Many industrialized countries are pursuing energy transition, but their focuses are different. The orderliness synergy as a unique aspiration of the current energy transition is emphasized in this article by constructing an orderliness-synergy evaluation model and selecting a dataset covering the period of 2011–2018 from Industrial Scale, Economic Benefit, Social Contribution, and Growth Potential of China to calculate the comprehensive development level and the orderliness-synergy degree of both the conventional energy industry and the nonconventional one. A novel evaluation model with stock-increment attributes is built to measure the resource storage and the growth rate systematically and to further analyze their driving forces. The results reveal that 1) the overall orderliness-synergy degree of these two sub-industries shows an upward trend year by year; however, there are some significant differences among them. 2) China’s energy transition has shown a dramatic promotion in the structural upgrading, while the momentums of these two sub-industries show a shift from the stock–resource–contribution advantage to the increment–resource–contribution advantage. 3) The actual stock-increment contribution coefficient values of these two sub-industries have not reached the development expectations of industrial performances, and there is still reasonable space for the structural optimization. Finally, policy implications are discussed.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Research on the Orderliness Synergy Between Conventional and Nonconventional for Energy Transition in China

Liu

Lu²,

Zhao³

2022

Front. Energy Res.

View full text Add to dashboard Cite

show abstract

“…Quantum coherent control (QCC) is of great importance in fundamental physics as well as a breadth of emerging applications [1]. With the emergence of femtosecond and attosecond light sources, control of atomic coherence using ultrafast laser pulses with very few optical cycles has attracted growing interest in recent years [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Apart from its significance in quantum theories, ultrafast QCC has profound implications in practical applications.…”

Section: Introductionmentioning

confidence: 99%

Few-cycle excitation of atomic coherence: an analytical solution beyond the rotating-wave approximation

2022

View full text Add to dashboard Cite

Developing an analytical theory for atomic coherence driven by ultrashort laser pulses has proved to be challenging due to the breakdown of the rotating wave approximation (RWA). In this paper, we present an approximate analytical solution that describes a two-level atom under the excitation of a far-off-resonance, few-cycle pulse of arbitrary shape without invoking the RWA. As an example of its applicability, a closed-form solution for Gaussian pulses is explicitly given, and the result is used to analyse the impact of carrier envelope phase on atomic population ratios. Comparisons with numerical solutions validate the accuracy our solution within the scope of the approximation. Finally, we outline an alternative approach that can lead to a more accurate solution by capturing the nonlinear behaviors of the system. The work lays out feasible theoretical paths toward analytically describing two-level atoms driven by ultrashort pulses.

show abstract

“…Quantum coherent control (QCC) is of great importance in fundamental physics as well as a breadth of emerging applications [1]. With the advent of femtosecond and attosecond light sources, control of atomic coherence using ultrafast laser pulses with few optical cycles has attracted growing interest in recent years [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Apart from its significance in quantum theories, ultrafast QCC has profound implications in practical applications.…”

Section: Introductionmentioning

confidence: 99%

“…Studying ultrafast QCC in the few-cycle regime faces unique challenges. The ultrashort pulse width invalidates the slowly-varying envelope approximation (SVEA) [19] while the high peak field causes breakdown of the rotation-wave approximation (RWA) [13]. As a result, the well-established theoretical framework based on the optical Bloch equations and the area theorem ceases to apply [20,21].…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, there has been a continued effort to develop analytical theories for atomic coherence driven by few-cycle pulses [2,[7][8][9][10][11][12][13][14][15]. A notably successful theory, proposed first by Rostovtsev et al, considers the coherence of a two-level atom under the excitation of a far-offresonance strong ultrashort pulse [9].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Few-cycle excitation of atomic coherence: A closed-form analytical solution beyond the rotating-wave approximation

Pyvovar

Zeng²,

Duan³

2021

Preprint

View full text Add to dashboard Cite

Developing an analytical theory for atomic coherence driven by ultrashort laster pulses has proved to be challenging due to the breakdown of the rotating wave approximation (RWA). In this paper, we present an approximate, closed-form solution to the Schrödinger equation that describes a twolevel atom under the excitation of a far-off-resonance, few-cycle pulse of arbitrary shape without invoking the RWA. As an example of its applicability, an analytical solution for Gaussian pulses is explicitly given. Comparisons with numerical solutions validate the accuracy our solution within the scope of the approximation. Finally, we outline an alternative approach that can lead to a more accurate solution by capturing the nonlinear behaviors of the system.

show abstract

Magnus expansion applied to a dissipative driven two-level system

Cited by 9 publications

References 41 publications

Research on the Orderliness Synergy Between Conventional and Nonconventional for Energy Transition in China

Research on the Orderliness Synergy Between Conventional and Nonconventional for Energy Transition in China

Few-cycle excitation of atomic coherence: an analytical solution beyond the rotating-wave approximation

Few-cycle excitation of atomic coherence: A closed-form analytical solution beyond the rotating-wave approximation

Contact Info

Product

Resources

About