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

International Journal of Quantum Chemistry

Franck-Condon factors and squeezed states

Alberto José Palma, L. Sandoval, Mara J. Martn

Published Feb 12, 1994• 3 citations
Publisher

Abstract

Similarities between the Franck–Condon effect and the concept of Squeezed States have been advanced as a conjecture in the past, or noticed as a marginal fact, without giving a full explanation of how these two important concepts are connected. In this work we outline a unifying formulation that contains as special cases both phenomena. The power of the new approach is shown in a general formula from which all particular cases can be derived. © 1994 John Wiley & Sons, Inc.

DOI
10.1002/qua.560520827

Related papers

Recurrence relations and closed formulas connecting Franck?Condon factors and squeezed states

Alejandro A. Palma

Recurrence relations and closed formulas which are common to Franck-Condon factors and squeezed states are presented in a unified formulation. Both concepts present a certain parallelism that is explained by formally showing their becoming particular cases of more general concepts. This treatment sets forth the mathematical structure that unifies the two concepts. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 229–232, 1997

International Journal of Quantum Chemistry•Jan 1, 1997•6 citations

Squeezed states and the Franck-Condon overlap

L. Sandoval, Manuel Martín, Juan Francisco Rivas-Silva +1 more

A simple and direct approach to studying squeezed states is proposed. It is based on treating the corresponding differential equations and their solutions directly on the Fock-Bargmann space. The method is exemplified by giving quite general solutions to the case of amplitude-squared squeezed states. We show the importance of this approach by deriving the overlap between these solutions and connecting them with the overlap integral associated with the Franck-Condon principle.

Physical Review A•Nov 1, 1992•7 citations

Franck-Condon effect and squeezed-state physics as double-source interference phenomena

JOHN ARCHIBALD WHEELER

Letters in Mathematical Physics•Jan 1, 1985•53 citations

Franck-Condon factors via compressive sensing

Kevin Valson Jacob, Eneet Kaur, Wojciech Roga +1 more

The probabilities of vibronic transitions in molecules are referred to as Franck-Condon factors (FCFs). Although several approaches for calculating FCFs have been developed, such calculations are still challenging. Recently it was shown that there exists a correspondence between the problem of calculating FCFs and boson sampling. However, if the output photon number distribution of boson sampling is sparse, then it can be classically simulated. Exploiting these results, we develop a method to approximately reconstruct the distribution of FCFs of certain molecules. We demonstrate its proof of concept by applying it to formic acid and thymine at 0 K. In our method, we first obtain the marginal photon number distributions for pairs of modes of a Gaussian state associated with the molecular transition. We then apply a compressive sensing method called polynomial-time matching pursuit to recover FCFs.

arXiv:1909.02935•Physical Review A•Sep 8, 2020•5 citations

Quantum mechanical squeezed state

R. Muñoz-Tapia

The squeezed states appear in different fields under different forms. Compact operator expressions are given and some of their properties reviewed with the connections between different contexts clarified.

American Journal of Physics•Nov 1, 1993•16 citations

Franck-Condon Factors for Harmonic Oscillators- An Operator Approach

Chen‐Shiung Hsue

We give an explicit derivation of the Franck-Condon factors for harmonic oscillators in the general case where both the origin and the frequencies are changed for one and two dimensions, using operator manipulations in our two-step method. We also discuss the case with rotated coordinates in the excited states of two dimensional transitions. The method is straightforward and can be easily generalized to higher dimensions.

Chinese Journal of Physics•Dec 1, 1994•0 citations
Similarities between the Franck–Condon effect and the concept of Squeezed States have been advanced as a conjecture in the past, or noticed as a marginal fact, without giving a full explanation of how these two important concepts are connected. In this work we outline a unifying formulation that contains as special cases both phenomena. The power of the new approach is shown in a general formula from which all particular cases can be derived. © 1994 John Wiley & Sons, Inc.
The probabilities of vibronic transitions in molecules are referred to as Franck-Condon factors (FCFs). Although several approaches for calculating FCFs have been developed, such calculations are still challenging. Recently it was shown that there exists a correspondence between the problem of calculating FCFs and boson sampling. However, if the output photon number distribution of boson sampling is sparse, then it can be classically simulated. Exploiting these results, we develop a method to approximately reconstruct the distribution of FCFs of certain molecules. We demonstrate its proof of concept by applying it to formic acid and thymine at 0 K. In our method, we first obtain the marginal photon number distributions for pairs of modes of a Gaussian state associated with the molecular transition. We then apply a compressive sensing method called polynomial-time matching pursuit to recover FCFs.