Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time

Shirley, J.H.

doi:10.1103/physrev.138.b979

Cited by 2,808 publications

(2,180 citation statements)

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“…The fundamental interaction between light and matter can be understood within the framework of a two-level system with an energy splitting E 0 [52,103]. Driving the system by off-resonance light of frequency ha < E 0 produces a series of photon-dressed states (Floquet states) that are evenly spaced by hw, where h is the reduced Planck's constant.…”

Section: Bloch-siegert Shiftmentioning

confidence: 99%

“…This interaction can be understood using what is known as Floquet theory [52], which states that a Hamiltonian periodic in time has quasistatic eigenstates that are evenly spaced in units of the photon driving energy. The simplest example of this is given by a two-level atomic system in the presence of monochromatic light, which can be fully described by the semi-classical…”

Section: Optical Stark Effectmentioning

confidence: 99%

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Coherent Light-Matter Interactions in Monolayer Transition-Metal Dichalcogenides

Sie

2018

Springer Theses

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Semiconductors that are thinned down to a few atomic layers can exhibit novel properties beyond those encountered in bulk forms. Transition-metal dichalcogenides (TMDs) such as MoS 2 , WS 2 and WSe 2 are prime examples of such semiconductors. They appear in layered structure that can be reduced to a stable single layer where remarkable electronic properties can emerge. Monolayer TMDs have a pair of electronic valleys which have been proposed as a new way to carry information in next generation devices, called valleytronics. However, these valleys are normally locked in the same energy level, which limits their potential use for applications.This dissertation presents the optical methods to split their energy levels by means of coherent light-matter interactions. Experiments were performed in a pump-probe technique using a transient absorption spectroscopy on MoS 2 and WS 2 , and a newly developed XUV light source for time and angle-resolved photoemission spectroscopy (TR-ARPES) on WSe 2 and WTe 2 . Hybridizing the electronic valleys with light allows us to optically tune their energy levels in a controllable valley-selective manner. In particular, by using off-resonance circularly polarized light at small detuning, we can tune the energy level of one valley through the optical Stark effect. At larger detuning, we observe a separate contribution from the so-called Bloch-Siegert effect, a delicate phenomenon that has eluded direct observation in solids. The two effects obey opposite selection rules, which enables us to separate the two effects at two different valleys.Monolayer TMDs also possess strong Coulomb interaction that enhances many-body interactions between excitons, both bonding and non-bonding interactions. In the former, bound excitonic quasiparticles such as biexcitons play a unique role in coherent light-matter interactions where they couple the two valleys to induce opposite energy shifts. In the latter, non-bonding interactions between excitons are found to exhibit energy shifts that effectively mimics the Lennard-Jones interactions between atoms. Through these works, we demonstrate new methods to optically tune the energy levels of electronic valleys in monolayer TMDs. AcknowledgmentsFirst and foremost, I would like to thank my advisor Prof. Nuh Gedik for his mentorship and support. He has been a constant source of inspiration since I first started my graduate studies. Actually it was even before that. I remember my first meeting at a conference in Boston where he presented a real-time image of crystalline lattice motion. The idea of watching Michael Jackson performing Billie Jean flashed through my head, because he was that cool and inspiring, and he continues to be so. He has been a tremendous support since day one, where I was given the opportunity to design and build the XUV beamline for ARPES in the lab as well as the freedom to build the white-light setup next to it. His vigor to make new innovations in timeresolved experiments is always inspiring. Throughout my graduate studies, he...

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Section: Bloch-siegert Shiftmentioning

confidence: 99%

Section: Optical Stark Effectmentioning

confidence: 99%

Coherent Light-Matter Interactions in Monolayer Transition-Metal Dichalcogenides

Sie

2018

Springer Theses

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“…This was recently used to implement rfdressed potentials with multiple frequency components for a single species [31]. We calculate the eigenstates of atoms dressed by the multicomponent rf field using an exact Floquet formalism [32][33][34].…”

Section: Species Selectivity With Multiple Rfsmentioning

confidence: 99%

Species-selective confinement of atoms dressed with multiple radiofrequencies

Bentine

Harte

Luksch

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.Methods to manipulate the individual constituents of an ultracold quantum gas mixture are essential tools for a number of applications, for example the direct quantum simulation of impurity physics. We investigate a scheme in which species-selective control is achieved using magnetic potentials dressed with multiple radiofrequencies, exploiting the different Landé g F -factors of the constituent atomic species. We describe a mixture dressed with two frequencies, where atoms are confined in harmonic potentials with a controllable degree of overlap between the two atomic species. This is then extended to a four radiofrequency scheme in which a double well potential for one species is overlaid with a single well for the other. The discussion is framed with parameters that are suitable for a 85 Rb and 87 Rb mixture, but is readily generalised to other combinations.arXiv:1701.05819v1 [cond-mat.quant-gas]

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“…the suppression of the tunnelling dynamics in an isolated bistable potential by the purely coherent influence of an oscillating bias [12,13]. The crucial point there is that the long-time dynamics in a periodically driven quantum system is no longer dominated by the energies, but rather by the so-called quasienergies [13][14][15]. The latter may be degenerate for properly chosen driving parameters yielding a divergent timescale.…”

Section: Introductionmentioning

confidence: 99%

Controlling currents through molecular wires

Kohler

Lehmann

Hänggi

2003

Superlattices and Microstructures

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We investigate the possibility of controlling by means of external laser fields both the current through molecular wires and the corresponding noise properties. It is found that an appropriate off-resonant driving field reduces the coherent transport across the molecule resulting in a strong current suppression. The relative level of transport noise, characterized by a Fano factor, exhibits characteristic maxima and minima near regimes of current suppression. In a three-terminal configuration, the field allows one to steer the current selectively towards one terminal.

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Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time

Cited by 2,808 publications

References 12 publications

Coherent Light-Matter Interactions in Monolayer Transition-Metal Dichalcogenides

Coherent Light-Matter Interactions in Monolayer Transition-Metal Dichalcogenides

Species-selective confinement of atoms dressed with multiple radiofrequencies

Controlling currents through molecular wires

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