2014
DOI: 10.1016/j.optcom.2014.06.013
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Ultra-short strong excitation of two-level systems

Abstract: We present a model describing the use of ultra-short strong pulses to control the population of the excited level of a two-level quantum system. In particular, we study an off-resonance excitation with a few cycles pulse which presents a smooth phase jump i.e. a change of the pulse's phase which is not step-like, but happens over a finite time interval. A numerical solution is given for the time-dependent probability amplitude of the excited level. The control of the excited level's population is obtained acti… Show more

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Cited by 12 publications
(10 citation statements)
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“…Appendix. Explicit expression for the 5th order Magnus term Fifth order Magnus expansion term (26 ) is explicitly S 5 = 2i (i ) 5 We note that each term in the integral involves four commutators.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Appendix. Explicit expression for the 5th order Magnus term Fifth order Magnus expansion term (26 ) is explicitly S 5 = 2i (i ) 5 We note that each term in the integral involves four commutators.…”
Section: Discussionmentioning
confidence: 99%
“…In his seminal paper of 1954 (17 ), Magnus claims that the general solution of the linear ordinary differential matrix equation (5) can be written as…”
Section: Model and Calculationmentioning
confidence: 99%
“…The original solution, however, is not in closed form, and the analysis of its features useful for practical applications still has to rely largely on numerical computations. Several attempts have been made to derive more explicit solutions under specific conditions [11,15,25]. In particular, it has recently been shown that a simple, closed-form analytical solution of the Schrödinger equation can be obtained for few-cycle square pulses [15].…”
Section: Introductionmentioning
confidence: 99%
“…The original solution, however, is not in closed form, and the analysis of its features useful for practical applications still has to rely largely on numerical computations. Several attempts have been made to derive more explicit solutions under specific conditions [11,15,25]. In particular, we have recently shown that a simple, closed-form analytical solution of the Schrödinger equation can be obtained for few-cycle square pulses [15].…”
Section: Introductionmentioning
confidence: 99%