Floquet theory for short laser pulses

Drese, Klaus; Holthaus, Martin

doi:10.1007/s100530050236

Cited by 114 publications

(129 citation statements)

References 2 publications

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“…4. Then the packet undergoes a Landau-Zener transition to the anticrossing quasienergy state [27]. Due to the rapid switch-on of the pulse, and to the narrow quasienergy separation δε at the avoided crossing, that transition is almost complete.…”

Section: Avoided-quasienergy-crossing Spectroscopy With Asymmetrmentioning

confidence: 99%

“…This implies that a major fraction of the condensate atoms is excited at the end of the pulse, escaping out of the lattice. When such an experiment is performed repeatedly with fixed rise time T (1) p /2 while varying the switch-off duration T (2) p /2, one should observe survival probabilities which drop exponentially with increasing T (2) p , allowing one to extract the quasienergy separation δε at the avoided crossing from the drop rate by means of the known Landau-Zener formula for quasienergy states [27].…”

Section: Avoided-quasienergy-crossing Spectroscopy With Asymmetrmentioning

confidence: 99%

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ac Stark shift and multiphotonlike resonances in low-frequency-driven optical lattices

Arlinghaus

Holthaus

2012

Phys. Rev. A

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We suggest that Bose-Einstein condensates in optical lattices subjected to ac forcing with a smooth envelope may provide detailed experimental access to multiphoton-like transitions between ac-Stark-shifted Bloch bands. Such transitions correspond to resonances described theoretically by avoided quasienergy crossings. We show that the width of such anticrossings can be inferred from measurements involving asymmetric pulses. We also introduce a pulse tracking strategy for locating the particular driving amplitudes for which resonances occur. Our numerical calculations refer to a currently existing experimental set-up [Haller et al., PRL 104, 200403 (2010)].

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Section: Avoided-quasienergy-crossing Spectroscopy With Asymmetrmentioning

confidence: 99%

Section: Avoided-quasienergy-crossing Spectroscopy With Asymmetrmentioning

confidence: 99%

ac Stark shift and multiphotonlike resonances in low-frequency-driven optical lattices

Arlinghaus

Holthaus

2012

Phys. Rev. A

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“…This can be achieved by synthesizing the driving pulses directly using ultra-fast arbitrary waveform generators 16,29,38 , which nowadays can reach sampling speeds up to 100 GS/s. On the other hand, the fast oscillatory terms can be suppressed with shaped pulses with slow turn-on and turn-off times that are adiabatic in the Floquet picture 29,39 . In conclusion, we have presented experiments that show the time-evolution dynamics of a strongly-driven, dressed electron spin in silicon.…”

mentioning

confidence: 99%

Breaking the rotating wave approximation for a strongly driven dressed single-electron spin

et al. 2016

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We investigate the dynamics of a strongly-driven, microwave-dressed, donor-bound electron spin qubit in silicon. A resonant oscillating magnetic field B1 is used to dress the electron spin and create a new quantum system with a level splitting proportional to B1. The dressed two-level system can then be driven by modulating the detuning ∆ν between the microwave source frequency νMW and the electron spin transition frequency νe at the frequency of the level splitting. The resulting dressed qubit Rabi frequency ΩRρ is defined by the modulation amplitude, which can be made comparable to the level splitting using frequency modulation on the microwave source. This allows us to investigate the regime where the rotating wave approximation breaks down, without requiring microwave power levels that would be incompatible with a cryogenic environment. We observe clear deviations from normal Rabi oscillations and can numerically simulate the time evolution of the states in excellent agreement with the experimental data.

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“…Adiabatic behavior of Floquet eigenstates is commonly invoked to describe time-dependent processes that involve a single laser pulse whose envelope varies slowly in time [14]. In this case, the period of the field is given by the inverse of the optical frequency of the laser.…”

Section: B Adiabatic Switching For Floquet Hamiltoniansmentioning

confidence: 99%

Preparation and control of aligned cyclic rotational states

2013

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Molecules in selected rotational states can remain well aligned for extended periods of time in the presence of an appropriate periodic train of nonresonant laser pulses. Here, we show that these states can be prepared by slowly switching the electromagnetic field amplitude during a sequence of laser pulses. For low-temperature ensembles, a high degree of alignment can be achieved by designing pulse trains that take into account the distribution of avoided crossings between quasienergy curves. Additionally, we present calculations that illustrate several effects causing misalignment. A discussion of subtleties concerning systems with unbounded rotational spectra is also included.

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Floquet theory for short laser pulses

Cited by 114 publications

References 2 publications

ac Stark shift and multiphotonlike resonances in low-frequency-driven optical lattices

ac Stark shift and multiphotonlike resonances in low-frequency-driven optical lattices

Breaking the rotating wave approximation for a strongly driven dressed single-electron spin

Preparation and control of aligned cyclic rotational states

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