Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Russian Physics Journal

A Research on the Relation Between the Integrated Three-Pulse Photon Echo Signal and the Correlation Function

Zhonghua Zhang, Jia Chen, Yang Zhao, Yuangin Xia

Published Mar 1, 2014• 0 citations
Publisher
DOI
10.1007/s11182-014-0177-y

Related papers

Two Dimensional Analysis of Integrated Three Pulse Photon Echo

Yutaka Nagasawa, Kazushige Seike, Takayuki Muromoto +1 more

Springer series in chemical physics•Jan 1, 2003•0 citations

Properties of the two-pulse photon echo signal

Cheng Li, Xiangyang Yu

Optoelectronics Letters•Mar 1, 2010•1 citation

The Integrated Photon Echo and Solvation Dynamics

Minhaeng Cho, Jae-Young Yu, Taiha Joo +3 more

The time-integrated three-pulse photon echo is discussed in terms of the line-shape functions which are shown to be directly related to the solvation dynamics. By using the short-time approximation to the line-shape function, an algebraic form of the three-pulse photon echo signal S PE (τ, T ) is obtained as a function of two delay times, τ and T, between pulses. On the basis of the approximate form of the photon echo signal, the echo peak shift with respect to the second delay time (population evolution period) is derived and found to be linearly proportional to the time-dependent fluorescence Stokes shift function for times greater than the bath correlation time, τ c . In the case of intermediate inhomogeneous broadening, the asymptotic echo peak shift magnitude is found to be useful in estimating the static inhomogeneous width. To illustrate the theoretical results, an analysis of the echo peak shift measurement of IR144 in a room temperature glass, PMMA, is presented.

The Journal of Physical Chemistry•Jan 1, 1996•276 citations

Chapter Two-Dimensional Photon Echo Spectroscopy

Minhaeng Cho

The phase-matched photon echo signal field should then satisfy the following wave vector equality: ks = -k1 + k2 + k3. The corresponding diagrams have been called the rephasing ones. The “mirror image” echo appears at ks = k1 - k2 + k3, and the corresponding nonlinear optical transition pathways were called the nonrephasing diagrams. At short time (<τsol or τdecoherence), the rephasing echo and the mirror image (nonrephasing) echo signals, with respect to the first coherence period, τ, do not completely overlap,9 and the time difference between the two peaks was defined as the three-pulse PEPS denoted as τ*( ).T 7, 10, 11 It turned out that the PEPS as a function of the second delay time T between the second and third pulses in the three-pulse photon echo was shown to be directly related to the transition frequency-frequency correlation function, and its asymptotic value is related to the static inhomogeneity directly reflecting unequal environments around different chromophores.7, 11 The delay time T was called the waiting or population evolution time in the literatures. Usually, the conventional integrated photon echo signal depends on two time variables τ and T, and the echo field intensity (not amplitude) was detected. Therefore, the integrated photon echo measurement method cannot provide the 2D photon echo spectrum unless notable quantum beats exist.

CRC Press eBooks•Jun 16, 2009•0 citations

Determining the solvation correlation function from three-pulse photon echoes in liquids

K. F. Everitt, Eitan Geva, James L. Skinner

The decay of three-pulse photon echo signals from a solute in a liquid solvent is sensitive to the solute’s transition frequency fluctuations, as characterized by its two-point time correlation function, otherwise known as the solvation correlation function. The most widely used method for determining this solvation correlation function from photon echo data involves the three-pulse photon echo peak shift (3PEPS) method. Using this method the long-time decay of the solvation correlation function can be obtained directly, but the determination of the short-time decay requires a difficult numerical fitting procedure. In this study we propose several alternative approaches to determining the solvation correlation function from echo data, the most promising and straightforward of which we call the S3PE (short-time slope of the three-pulse photon echo) method. The accuracy and efficacy of this approach is illustrated by extracting the solvation correlation function from “experimental” data obtained from classical molecular dynamics computer simulations.

The Journal of Chemical Physics•Jan 15, 2001•72 citations

Two-Dimensional Representation of Three-Pulse Photon Echo

Yutaka Nagasawa, Tadashi Okada, Tadayuki Muromoto +1 more

•Jan 1, 2003•0 citations
The time-integrated three-pulse photon echo is discussed in terms of the line-shape functions which are shown to be directly related to the solvation dynamics. By using the short-time approximation to the line-shape function, an algebraic form of the three-pulse photon echo signal S PE (τ, T ) is obtained as a function of two delay times, τ and T, between pulses. On the basis of the approximate form of the photon echo signal, the echo peak shift with respect to the second delay time (population evolution period) is derived and found to be linearly proportional to the time-dependent fluorescence Stokes shift function for times greater than the bath correlation time, τ c . In the case of intermediate inhomogeneous broadening, the asymptotic echo peak shift magnitude is found to be useful in estimating the static inhomogeneous width. To illustrate the theoretical results, an analysis of the echo peak shift measurement of IR144 in a room temperature glass, PMMA, is presented.
The phase-matched photon echo signal field should then satisfy the following wave vector equality: ks = -k1 + k2 + k3. The corresponding diagrams have been called the rephasing ones. The “mirror image” echo appears at ks = k1 - k2 + k3, and the corresponding nonlinear optical transition pathways were called the nonrephasing diagrams. At short time (<τsol or τdecoherence), the rephasing echo and the mirror image (nonrephasing) echo signals, with respect to the first coherence period, τ, do not completely overlap,9 and the time difference between the two peaks was defined as the three-pulse PEPS denoted as τ*( ).T 7, 10, 11 It turned out that the PEPS as a function of the second delay time T between the second and third pulses in the three-pulse photon echo was shown to be directly related to the transition frequency-frequency correlation function, and its asymptotic value is related to the static inhomogeneity directly reflecting unequal environments around different chromophores.7, 11 The delay time T was called the waiting or population evolution time in the literatures. Usually, the conventional integrated photon echo signal depends on two time variables τ and T, and the echo field intensity (not amplitude) was detected. Therefore, the integrated photon echo measurement method cannot provide the 2D photon echo spectrum unless notable quantum beats exist.
The decay of three-pulse photon echo signals from a solute in a liquid solvent is sensitive to the solute’s transition frequency fluctuations, as characterized by its two-point time correlation function, otherwise known as the solvation correlation function. The most widely used method for determining this solvation correlation function from photon echo data involves the three-pulse photon echo peak shift (3PEPS) method. Using this method the long-time decay of the solvation correlation function can be obtained directly, but the determination of the short-time decay requires a difficult numerical fitting procedure. In this study we propose several alternative approaches to determining the solvation correlation function from echo data, the most promising and straightforward of which we call the S3PE (short-time slope of the three-pulse photon echo) method. The accuracy and efficacy of this approach is illustrated by extracting the solvation correlation function from “experimental” data obtained from classical molecular dynamics computer simulations.