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Various phase concepts may be treated as special cases of the maximum likelihood estimation. For example the discrete Fourier estimation that actually coincides with the operational phase of Noh, Fouge`res and Mandel is obtained for…

Quantum Physics · Physics 2009-10-31 Jaroslav Rehacek , Zdenek Hradil , Michael Zawisky , Saverio Pascazio , Helmut Rauch , Jan Perina

Optical phase estimation is a vital measurement primitive that is used to perform accurate measurements of various physical quantities like length, velocity and displacements. The precision of such measurements can be largely enhanced by…

This paper is a contribution to the old problem of representing a signal in the coordinates of time and frequency. As the starting point, we abandon Gabor's complex extension and re-evaluate fundamental principles of time-frequency…

Complex Variables · Mathematics 2015-09-28 Steven Sandoval , Phillip L. De Leon

For optical phase estimation via homodyne measurement, we generalize the theory from detector's linear to nonlinear response regime, which accounts for the presence of saturation effect. For optical coherent light, we carry out analytic…

Quantum Physics · Physics 2025-05-13 Jialin Li , Yazhi Niu , Lupei Qin , Xin-Qi Li

Phase-sensitive detection is the essential projective measurement for measurement-based continuous-variable quantum information processing. The bandwidth of conventional electrical phase-sensitive detectors is up to several gigahertz, which…

Field-orthogonal temporal mode analysis of optical fields is recently developed for a new framework of quantum information science. But so far, the exact profiles of the temporal modes are not known, which makes it difficult to achieve mode…

Quantum Physics · Physics 2020-06-24 Nan Huo , Yuhong Liu , Jiamin Li , Liang Cui , Xin Chen , Rithwik Palivela , Tianqi Xie , Xiaoying Li , Z. Y. Ou

We propose a new framework of quantum field theory for an arbitrary observer in curved spacetime, defined in the spacetime region in which each point can both receive a signal from and send a signal to the observer. Multiple motivations for…

General Relativity and Quantum Cosmology · Physics 2009-07-16 Hui Yao

We present a comprehensive theory and an easy to follow method for the design and construction of a wideband homodyne detector for time-domain quantum measurements. We show how one can evaluate the performance of a detector in a specific…

Instrumentation and Detectors · Physics 2015-06-03 Ranjeet Kumar , Erick Barrios , Andrew MacRae , E. Cairns , E. H. Huntington , A. I. Lvovsky

Optical frequency combs combine ultrashort pulse duration and phase stability, making them powerful resources for high-precision ranging even when affected by atmospheric dispersion. It has been established that by classical modal…

Quantum Physics · Physics 2026-04-08 Mylenne Manrique , Ilaria Gianani , Marco Barbieri , Valentina Parigi , Nicolas Treps

An experimental comparison of several operational phase concepts is presented. In particular, it is shown that statistically motivated evaluation of experimental data may lead to a significant improvement in phase fitting upon the…

Quantum Physics · Physics 2015-06-26 J. Rehacek , Z. Hradil , M. Dusek , O. Haderka , M. Hendrych

General quasi-probabilities are introduced to visualize time-dependent quantum correlations of light in phase space. They are based on the generalization of the Glauber-Sudarshan P function to a time-dependent P functional [W. Vogel, Phys.…

Quantum Physics · Physics 2017-06-14 Fabian Krumm , Werner Vogel , Jan Sperling

Continuous variable quantum state tomography is one of the most powerful techniques to study the properties of light fields in quantum optics. However, the need for a fixed phase reference has so far prevented widespread usage in other…

Optics · Physics 2020-02-24 Johannes Thewes , Carolin Lüders , Marc Aßmann

We propose an optical parallel computation similar to quantum computation that can be realized by introducing pseudorandom phase sequences into classical optical fields with two orthogonal modes. Based on the pseudorandom phase sequences,…

General Physics · Physics 2017-02-24 Jian Fu

Tracking a randomly varying optical phase is a key task in metrology, with applications in optical communication. The best precision for optical phase tracking has till now been limited by the quantum vacuum fluctuations of coherent light.…

Recently, several theoretical proposals adressed the generation of an active optical frequency standard based on atomic ensembles trapped in an optical lattice potential inside an optical resonator. Using atoms with a narrow linewidth…

Optics · Physics 2013-01-22 Georgy A. Kazakov , Thorsten Schumm

The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of…

We study the role of the electromagnetic field's frequency in time precision measurements using single photons as a paradigmatic system. For such, we independently identify the contributions of intensity and spectral resources and show that…

Quantum Physics · Physics 2024-12-09 Eloi Descamps , Nicolas Fabre , Arne Keller , Perola Milman

Rydberg atom radio frequency sensors are a unique platform for precision electromagnetic field measurement, e.g. they have extraordinary carrier bandwidth spanning MHz-THz and can be self-calibrated. These photonic sensors use lasers to…

Timescale comparison between optical atomic clocks over ground-to-space and terrestrial free-space laser links will have enormous benefits for fundamental and applied science, from measurements of fundamental constants and searches for dark…

The interaction between a high-frequency dilational mode of a thin dielectric film and an optical cavity field is studied theoretically in the membrane-in-the-middle setup. A derivation from first principles leads to a multi-mode…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 K. Borkje , S. M. Girvin