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The excitation of atomic and molecular systems by propagating light in a two-photon state within the Wigner-Weisskopf approximation has been described using stochastic tools. The problem of a stochastic evolution of the quantum system,…

Quantum Physics · Physics 2025-02-19 Anita Dabrowska , Gniewomir Sarbicki

The physical parameters governing the dynamics of a light emitting quantum system can be estimated from the photon counting signal. The information available in the full detection record can be analysed by means of the distribution of…

Quantum Physics · Physics 2015-02-02 Alexander Holm Kiilerich , Klaus Mølmer

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of…

Analysis of PDEs · Mathematics 2026-02-03 Matti Lassas , Medet Nursultanov , Lauri Oksanen , John C. Schotland

The counting statistics give insight into the properties of quantum states of light and other quantum states of matter such as ultracold atoms or electrons. The theoretical description of photon counting was derived in the 1960s and was…

Quantum Physics · Physics 2012-08-23 Sibylle Braungardt , Mirta Rodríguez , Roy J. Glauber , Maciej Lewenstein

A stochastic model for a continuous photon counting and heterodyne measurement of a coherent source is proposed. A nonlinear filtering equation for the posterior state of a single-mode field in a cavity is derived by using the methods of…

Quantum Physics · Physics 2015-06-05 A. Dabrowska , P. Staszewski

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

We derived quantum trajectories for a system interacting with the environment prepared in a continuous mode single photon state as the limit of discrete filtering model with an environment defined as series of independent qubits prepared…

Quantum Physics · Physics 2020-02-11 Anita Dabrowska , Gniewomir Sarbicki , Dariusz Chruscinski

We determine filtering and master equations for a quantum system interacting with wave packet of light in a continuous-mode squeezed number state. We formulate the problem of conditional evolution of a quantum system making use of model of…

Quantum Physics · Physics 2024-07-18 Anita Dąbrowska , Marcin Marciniak

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

Dehmelt's Lambda-experiment for a three-level atom with simultaneously driven strong and weak transition is studied within quantum stochastic calculus approach. The statistics of the emitted photons is found by the method of generating…

Quantum Physics · Physics 2012-07-05 Anita Dabrowska

High fidelity microwave photon counting is an important tool for various areas from background radiation analysis in astronomy to the implementation of circuit QED architectures for the realization of a scalable quantum information…

Quantum Physics · Physics 2018-04-24 M. Schöndorf , L. C. G. Govia , M. Vavilov , R. McDermott , F. K. Wilhelm

Although some non-trivial photon number resolving detectors exist, it may still be convenient to discriminate photon number states with the method of multiplexed detection. Multiplexing can be performed with paths in real space, with paths…

Quantum Physics · Physics 2016-01-25 Filippo. M. Miatto , Akbar Safari , Robert W. Boyd

We derive a computationally efficient expression of the photon counting distribution for a uniformly illuminated array of single photon detectors. The expression takes the number of single detectors, their quantum efficiency, and their…

Quantum Physics · Physics 2020-01-22 Mattias Jönsson , Gunnar Björk

The emission of photon from an individual atom encodes the phase of its initialized quantum state. Using single-shot heterodyne detection, we measure the phase distribution of the emission from a superconducting transmon qubit in an open…

Quantum Physics · Physics 2026-03-31 A. Sultanov , E. Mutsenik , L. Kaczmarek , M. Schmelz , G. Oelsner , R. Stolz , E. Il'ichev

We study the problem of determining the photon number statistics of an unknown quantum state by simultaneously measuring conjugate quadratures with double homodyne detectors. Classically, the sum of the squared outputs of the two homodyne…

Quantum Physics · Physics 2020-01-29 Bing Qi , Pavel Lougovski , Brian P. Williams

The behavior of an atomic double lambda system in the presence of a strong off-resonant classical field and a few-photon resonant quantum field is examined. It is shown that the system possesses properties that allow a single-photon state…

Quantum Physics · Physics 2009-11-10 Mattias Johnsson , Michael Fleischhauer

We apply our recently developed theory of frequency-filtered and time-resolved N-photon correlations to study the two-photon spectra of a variety of systems of increasing complexity: single mode emitters with two limiting statistics (one…

Quantum Physics · Physics 2014-03-06 A. Gonzalez-Tudela , F. P. Laussy , C. Tejedor , M. J. Hartmann , E. del Valle

The development of microwave photon detectors is paving the way for a wide range of quantum technologies and fundamental discoveries involving single photons. Here, we investigate the photon emission from a microwave cavity and find that…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Fredrik Brange , Paul Menczel , Christian Flindt

We develop methods to find the limits to finite-time single photon extraction from emitter-cavity systems. We first establish analytic upper and lower bounds on the maximum extraction probability from a canonical $\Lambda$-system before…

Quantum Physics · Physics 2024-06-17 William J. Hughes , Joseph F. Goodwin , Peter Horak

Many applications of quantum optics demand delicate quantum properties of light carefully tailored to accomplish a specific task. To this end, numerical simulations of quantum light sources are vital for designing, characterizing, and…

Quantum Physics · Physics 2023-10-09 Stephen C. Wein
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