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The nonlinear oscillator model allows a basic understanding of all nonlinear processes and can be adopted to analyse optical vibrational modes and electronic transition in molecules and crystals, in order to derive general properties of…

光学 · 物理学 2015-06-26 F. Bassani , V. Lucarini

Along the lines of the nonlinear response theory developed by Ruelle, in a previous paper we have proved under rather general conditions that Kramers-Kronig dispersion relations and sum rules apply for a class of susceptibilities describing…

统计力学 · 物理学 2011-10-11 Valerio Lucarini

Using sum rules, the dipolar terms can be eliminated from the commonly-used sum-over-states (SOS) expression for nonlinear susceptibilities. This new dipole-free expression is more compact, converges to the same results as the common SOS…

光学 · 物理学 2009-11-11 Mark G. Kuzyk

The nonlinear response of stochastic models obeying a master equation is calculated up to fifth-order in the external field thus extending the third-order results obtained earlier (G. Diezemann, Phys. Rev. E{\bf 85}, 051502 (2012)). For…

软凝聚态物质 · 物理学 2017-08-30 Gregor Diezemann

A generic physical situation is considered where Im $\Pi$, the imaginary part of polarization operator (generalized susceptibility), can be measured on a finite interval and the high frequency asymptotics (up to a few orders) of $\Pi$ can…

高能物理 - 唯象学 · 物理学 2007-05-23 Alexander Moroz , Jan Fischer

Generally, natural scientific problems are so complicated that one has to establish some effective perturbation or nonperturbation theories with respect to some associated ideal models. In this Letter, a new theory that combines…

计算物理 · 物理学 2015-05-13 Yuan Gao , S. Y. Lou

To add the detailed information to the existed knowledge of nonlinear optics field, the nonlinear optical processes of the second and third order have been discussed in their respective susceptibility tensors in the presence of degenerate…

光学 · 物理学 2018-01-29 A Srinivasa Rao

Partial sum rules are widely used in physics to separate low- and high-energy degrees of freedom of complex dynamical systems. Their application, though, is challenged in practice by the always finite spectrometer bandwidth and is often…

其他凝聚态物理 · 物理学 2009-11-13 A. B. Kuzmenko , D. van der Marel , F. Carbone , F. Marsiglio

Pump-probe microscopy is an emerging nonlinear imaging technique based on high repetition rate lasers and fast intensity modulation. Here we present new methods for pump-probe microscopy that keep the beam intensity constant and instead…

光学 · 物理学 2021-04-07 Jun Jiang , David Grass , Yue Zhou , Warren S. Warren , Martin C. Fischer

The linear and nonlinear dynamical susceptibilities of a two level system are calculated as it undergoes a transition to a decoherent state. Analogously to the Glover-Tinkham-Ferrell sum rule of superconductivity, spectral weight in the…

凝聚态物理 · 物理学 2009-10-31 Gregory Levine

Accurate knowledge of absorption coefficient of a sample is a prerequisite for measuring the third order optical nonlinearity of materials, which could become a serious limitation for unknown samples. We introduce a new method, which…

光学 · 物理学 2007-05-23 S. Abbas Hosseini , A. Sharan , D. Goswami

A general non-linear response theory is derived for an arbitrary time-dependent Hamiltonian, not necessarily obeying time-reversal symmetry. This allows us to obtain a greatly generalized Kubo type formula. Applied to a mesoscopic system…

介观与纳米尺度物理 · 物理学 2009-10-30 Ines Safi

While nonlinear optical spectroscopy is becoming more commonly used to study the excited states of nonlinear-optical systems, a general theory of inhomogeneous broadening is rarely applied in lieu of either a simple Lorentzian or Gaussian…

光学 · 物理学 2008-02-26 Robert J. Kruhlak , Mark G. Kuzyk

The optical conductivity is the basic defining property of materials characterizing the current response toward time-dependent electric fields. In this work, following the approach of Kubo's response theory, we study the general properties…

统计力学 · 物理学 2020-10-20 Haruki Watanabe , Yankang Liu , Masaki Oshikawa

Using matrix product state techniques we study the nonequilibrium dynamical response of the half-filled Hubbard ladder when subject to an optical pump. Optical pumping offers a way of producing and manipulating new strongly correlated…

强关联电子 · 物理学 2026-04-14 E. Merhej , J. P. Hague , R. M. Konik , A. J. A. James

The Kramers-Kronig relations and various oscillator strength sum rules represent strong constraints on the physical response of materials. In this work, taking inspiration from the well-established equivalence between $f-$sum rules and…

Stable limit cycle as a stabilized mechanical oscillation is the primary result of the dynamical evolution of an optomechanical system under sufficiently powerful pump. Because this dynamical process is highly nonlinear, it was not clear…

光学 · 物理学 2024-10-15 Han Xiao Zhang , Vitalie Eremeev , Jinhui Wu , Miguel Orszag , Bing He

Upon excitation by a laser pulse, broken-symmetry phases of a wide variety of solids demonstrate similar order parameter dynamics characterized by a dramatic slowing down of relaxation for stronger pump fluences. Motivated by this recurrent…

其他凝聚态物理 · 物理学 2020-05-13 Pavel E. Dolgirev , Marios H. Michael , Alfred Zong , Nuh Gedik , Eugene Demler

It is explicitly shown, for optical processes arbitrarily comprising two-, three- or four-photon interactions, that the sum over all matter states of any optical susceptibility is exactly zero. The result remains true even in frequency…

光学 · 物理学 2009-11-10 Luciana C. Davila Romero , David L. Andrews

Nonlinear effects are crucial in order to compute the cosmological matter power spectrum to the accuracy required by future generation surveys. Here, a new approach is presented, in which the power spectrum, the bispectrum and higher order…

天体物理学 · 物理学 2009-11-13 Massimo Pietroni
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