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A theory is formulated for time dependent fluctuations of the spectrum of a single molecule in a dynamic environment. In particular, we investigate the photon counting statistics of a single molecule undergoing a spectral diffusion process.…

Statistical Mechanics · Physics 2007-05-23 YounJoon Jung , Eli Barkai , Robert J. Silbey

We investigate the photon statistics of an ensemble of coherently driven non-interacting two-level atoms in the weak driving regime. As it turns out, the system displays unique emission characteristics that are strongly in contrast to the…

Quantum Physics · Physics 2024-11-27 M. Bojer , A. Cidrim , P. P. Abrantes , R. Bachelard , J. von Zanthier

We theoretically study the decoherence of a two-level quantum system coupled to noisy environments exhibiting linear and quadratic fluctuations within the framework of a stochastic Liouville equation. It is shown that the intrinsic energy…

Quantum Physics · Physics 2024-07-26 Xiangji Cai , Yanyan Feng , Jing Ren , Yonggang Peng , Yujun Zheng

A two level model of a single molecule undergoing spectral diffusion dynamics and interacting with a sequence of two short laser pulses is investigated. Analytical solution for the probability of n=0,1,2 photon emission events for the…

Chemical Physics · Physics 2009-11-13 F. Shikerman , E. Barkai

We extend the generating function technique for calculation of single molecule photon emission statistics [Y. Zheng and F. L. H. Brown, Phys. Rev. Lett., 90,238305 (2003)] to systems governed by multi-level quantum dynamics. This opens up…

Materials Science · Physics 2009-09-18 Golan Bel , Yujun Zheng , Frank L. H. Brown

A unified description of multitime correlation functions, nonlinear response functions, and quantum measurements is developed using a common generating function which allows a direct comparison of their information content. A general formal…

Statistical Mechanics · Physics 2009-11-10 Shaul Mukamel

In the solid state, a large variety of single-photon emitters present high quality photophysical properties together with a potential for integration. However, in many cases, the host matrix induces fluctuations of the emission wavelength…

Optics · Physics 2026-02-05 Aymeric Delteil , Stéphanie Buil , Jean-Pierre Hermier

We derive the moment generating function for photon emissions from a single molecule driven by laser excitation. The frequencies of the fluoresced photons are explicitly considered. Calculations are performed for the case of a two level dye…

Statistical Mechanics · Physics 2009-08-14 Golan Bel , Frank L. Brown

The electronic energy levels and optical transitions of a semiconductor quantum dot are subject to dynamics within the solid-state environment. In particular, fluctuating electric fields due to nearby charge traps or other quantum dots…

Mesoscale and Nanoscale Physics · Physics 2014-05-07 Clemens Matthiesen , Megan J. Stanley , Maxime Hugues , Edmund Clarke , Mete Atature

Stochastic resonance is a phenomenon in which fluctuations enhance an otherwise weak signal. It has been found in many different systems in paleoclimatology, biology, medicine, and physics. The classical stochastic resonance due to thermal…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 H. Mannel , J. Zöllner , E. Kleinherbers , M. Zöllner , N. Schwarz , F. Rimek , A. D. Wieck , A. Ludwig , A. Lorke , J. König , M. Geller

We consider the theory of the non-linear spectroscopy for a single molecule undergoing stochastic dynamics and interacting with a sequence of two laser pulses. General expressions for photon counting statistics are obtained, and an exact…

Optics · Physics 2008-01-13 F. Shikerman , E. Barkai

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

Soft Condensed Matter · Physics 2014-02-19 Soya Shinkai , Yuichi Togashi

Fluctuations of the atomic positions are at the core of a large class of unusual material properties ranging from quantum para-electricity to high temperature superconductivity. Their measurement in solids is the subject of an intense…

Cellular processes do not follow deterministic rules; even in identical environments genetically identical cells can make random choices leading to different phenotypes. This randomness originates from fluctuations present in the…

Molecular Networks · Quantitative Biology 2016-02-02 Elijah Roberts , Shay Be'er , Chris Bohrer , Rati Sharma , Michael Assaf

We investigate the total stochastic entropy production of a two-level bosonic open quantum system under protocols of time dependent coupling to a harmonic environment. These processes are intended to represent the measurement of a system…

Quantum Physics · Physics 2023-01-24 D. Matos , L. Kantorovich , I. J. Ford

n a recent experiment, we reported the time-domain intensity noise measurement of a single photon source relying on single molecule fluorescence control. In this article we present data processing, starting from photocount timestamps. The…

Quantum Physics · Physics 2009-11-10 Romain Alleaume , Francois Treussart , Jean-Michel Courty , Jean-Francois Roch

Nonlinear multimode optical systems have attracted substantial attention due to their rich physical properties. Complex interplay between the nonlinear effects and mode couplings makes it difficult to understand the collective dynamics of…

Nonlinear stochastic differential equations generating signals with 1/f spectrum have been used so far to describe socio-economical systems. In this paper we consider the motion of a Brownian particle in an inhomogeneous environment such…

Statistical Mechanics · Physics 2015-06-23 Rytis Kazakevicius , Julius Ruseckas

We consider the dependence of the electron transfer in photosynthetic complexes on correlation properties of random fluctuations of the protein environment. The electron subsystem is modeled by a finite network of connected electron…

Biological Physics · Physics 2015-06-23 Alexander I. Nesterov , Gennady P. Berman

Stochastic reaction-diffusion equations are a popular modelling approach for studying interacting populations in a heterogeneous environment under the influence of environmental fluctuations. Although the theoretical basis of alternative…

Populations and Evolution · Quantitative Biology 2017-02-16 Ivo Siekmann , Michael Bengfort , Horst Malchow
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