Complete characterization of a spatiotemporal pulse shaper with two-dimensional Fourier transform spectral interferometry

We propose a new technique, using femtosecond Fourier-transform spectral interferometry, to measure the second-order nonlinear response of a material in two dimensions of frequency. We show numerically the specific and unique information obtained from such a two-dimensional measurement. The technique is demonstrated by measuring the second-order phase-matching map of two non-resonant nonlinear crystals.

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Two-color two-dimensional Fourier transform electronic spectroscopy with a pulse-shaper

Optics Express ◽

10.1364/oe.16.017420 ◽

2008 ◽

Vol 16 (22) ◽

pp. 17420 ◽

Cited By ~ 135

Author(s):

Jeffrey A. Myers ◽

Kristin L. Lewis ◽

Patrick F. Tekavec ◽

Jennifer P. Ogilvie

Keyword(s):

Fourier Transform ◽

Electronic Spectroscopy ◽

Two Dimensional ◽

Pulse Shaper

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Realizable response matrices of multi-terminal electrical, acoustic and elastodynamic networks at a given frequency

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2007.0345 ◽

2008 ◽

Vol 464 (2092) ◽

pp. 967-986 ◽

Cited By ~ 9

Author(s):

Graeme W Milton ◽

Pierre Seppecher

Keyword(s):

Three Dimensional ◽

Complete Characterization ◽

Two Dimensional ◽

Response Matrix ◽

Electrical Networks ◽

Fixed Frequency ◽

Symmetry Properties ◽

Acoustic Networks ◽

Mathematical Equivalence

We give a complete characterization of the possible response matrices at a fixed frequency of n -terminal electrical networks of inductors, capacitors, resistors and grounds, and of n -terminal discrete linear elastodynamic networks of springs and point masses, both in three-dimensional and two-dimensional cases. Specifically, we construct networks that realize any response matrix that is compatible with the known symmetry properties and thermodynamic constraints of response matrices. Owing to a mathematical equivalence, we also obtain a characterization of the response matrices of discrete acoustic networks.

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A single hole in a quantum antiferromagnet: selfconsistent Green’s function approach

International Journal of Modern Physics B ◽

10.1142/s0217979291000146 ◽

1991 ◽

Vol 05 (01n02) ◽

pp. 207-217 ◽

Cited By ~ 12

Author(s):

Gerardo Martínez ◽

Peter Horsch

Keyword(s):

Born Approximation ◽

Complete Characterization ◽

Exact Diagonalization ◽

Low Energy ◽

Spin Polaron ◽

Two Dimensional ◽

Effective Masses ◽

Single Hole ◽

Quantum Antiferromagnet

We solved numerically the integral equation for the selfenergy which describes the motion of a single hole in a two-dimensional quantum antiferromagnet (AF) within the selfconsistent Born approximation. This formulation stresses the similarity of the AF-spin polaron with the standard polaron problem. We confine our calculation to finite cluster geometries and compare with results from previous exact diagonalization studies. The spectral function is characterized by a narrow quasiparticle (qp) peak at the low energy side of the spectra, which appears to be well separated from the incoherent band part for large enough J values. For small J we find a reduced width of ~7t for the incoherent band. The bottom of the coherent qp band always occurs at (±π/2, ±π/2). Its bandwidth initially increases with J until J≃t and then decreases as 2t2/J. A complete characterization of our solution is given, including the dispersion relation and effective masses of this quasiparticle. The comparison with exact diagonalization studies for a 4×4 cluster is remarkably good. From our results we see that a lattice of 16×16 sites describes adequately the thermodynamic limit. We conclude that the simple Born approximation is a valuable scheme to characterize the dynamics of one hole in the t-J model. both in the perturbative and the strong coupling regimes.

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