Wannier–Stark resonances in optical and semiconductor superlattices

Glück, Markus

doi:10.1016/s0370-1573(02)00142-4

Cited by 304 publications

(284 citation statements)

References 239 publications

(332 reference statements)

Supporting

Mentioning

275

Contrasting

Unclassified

Order By: Relevance

“…The singleparticle energy spectrum is given by an equally spaced WannierStark ladder 27,28 , which is the spectral counterpart of BO and results in a periodic dynamics at the frequency o B ¼ Fd. For single-site excitation, that is, A n ð0Þ ¼ d n;0 , BO appear as a breathing (rather than an oscillatory) motion at the frequency o B .…”

Section: Resultsmentioning

confidence: 99%

Fractional Bloch oscillations in photonic lattices

et al. 2013

View full text Add to dashboard Cite

Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations manifest the wave nature of matter and are found in a wide variety of different physical systems. Here we report on the first experimental observation of fractional Bloch oscillations, using a photonic lattice as a model system of a two-particle extended Bose–Hubbard Hamiltonian. In our photonic simulator, the dynamics of two correlated particles hopping on a one-dimensional lattice is mapped into the motion of a single particle in a two-dimensional lattice with engineered defects and mimicked by light transport in a square waveguide lattice with a bent axis

show abstract

Section: Resultsmentioning

confidence: 99%

Fractional Bloch oscillations in photonic lattices

et al. 2013

View full text Add to dashboard Cite

show abstract

“…The core of these disputes was the question whether the Wannier-Stark states retain their physical significance when interband transitions are accounted for [21][22][23]. According to modern treatments [24][25][26][27], Wannier-Stark states should be viewed as resonances (metastable states) with lifetimes τ WS i = 1/Γ i , and (1.14) should be generalized as…”

Section: Wannier-stark Resonancesmentioning

confidence: 99%

“…To use Houston functions as a basis for solving the TDSE, it is convenient to make the ansatz 24) which leads to the following system of differential equations [31,34]:…”

Section: Accelerated Bloch Statesmentioning

confidence: 99%

Ultrafast Control of Strong-Field Electron Dynamics in Solids

Yakovlev

Kruchinin

Paasch-Colberg

et al. 2015

Ultrafast Dynamics Driven by Intense Light Pulses

View full text Add to dashboard Cite

We review theoretical foundations and some recent progress related to the quest of controlling the motion of charge carriers with intense laser pulses and optical waveforms. The tools and techniques of attosecond science enable detailed investigations of a relatively unexplored regime of nondestructive strong-field effects. Such extremely nonlinear effects may be utilized to steer electron motion with precisely controlled optical fields and switch electric currents at a rate that is far beyond the capabilities of conventional electronics. IntroductionIt has long been realized that intense few-cycle laser pulses provide unique conditions for exploring extremely nonlinear phenomena in solids [1,2], the key idea being that a sample can withstand a stronger electric field if the duration of the interaction is shortened. Ultimately, a single-cycle laser pulse provides the best conditions for studying nonperturbative strong-field effects, especially those where the properties of a sample change within a fraction of a laser cycle. The recent rapid development of the tools and techniques of attosecond science [3] not only creates new opportunities for detailed investigations of ultrafast electron dynamics in solids, but it also opens exciting opportunities for controlling electron motion in solids with unprecedented speed and accuracy. Conventional nonlinear phenomena that accompany the interaction of intense laser pulses with solids have already found a vast number of applications in spectroscopy, imaging, laser technology, transmitting and processing information [4]. It can be expected that the less conventional nonpertur-

show abstract

“…[9,10], which analyze the problem from a Floquet or Bloch theory point of view. The dynamics can also be understood using a Wannier-Stark ladder spectrum, consisting of equally spaced discrete complex eigenvalues [11].…”

Section: Introductionmentioning

confidence: 99%

Level crossings in a cavity QED model

Larson

2006

Phys. Rev. A

View full text Add to dashboard Cite

In this paper I study the dynamics of a two-level atom interacting with a standing wave field. When the atom is subjected to a weak linear force, the problem can be turned into a time dependent one, and the evolution is understood from the band structure of the spectrum. The presence of level crossings in the spectrum gives rise to Bloch oscillations of the atomic motion. Here I investigate the effects of the atom-field detuning parameter. A variety of different level crossings are obtained by changing the magnitude of the detuning, and the behaviour of the atomic motion is strongly affected due to this. I also consider the situation in which the detuning is oscillating in time and its impact on the atomic motion. Wave packet simulations of the full problem are treated numerically and the results are compared with analytical solutions given by the standard Landau-Zener and the three-level Landau-Zener models.

show abstract

Wannier–Stark resonances in optical and semiconductor superlattices

Cited by 304 publications

References 239 publications

Fractional Bloch oscillations in photonic lattices

Fractional Bloch oscillations in photonic lattices

Ultrafast Control of Strong-Field Electron Dynamics in Solids

Level crossings in a cavity QED model

Contact Info

Product

Resources

About