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While the quantum regression theorem (QRT) is the standard tool for computing multi-time correlation functions in open quantum systems, it relies on system-bath separability and an environment that remains in equilibrium, assumptions that…

Quantum Physics · Physics 2026-04-16 Matias Bundgaard-Nielsen , Jake Iles-Smith

Multi-photon correlations from quantum emitters coupled to vibrational environments lie beyond the reach of standard tools such as the quantum regression theorem (QRT). Here, we introduce a Markovian framework for computing…

Quantum Physics · Physics 2026-03-17 Mateusz Salamon , Oliver Dudgeon , Ahsan Nazir , Jake Iles-Smith

Quantum regression theorem is a very useful result in open quantum system and extensively used for computing multi-point correlation functions. Traditionally it is derived for two-time correlators in the Markovian limit employing the…

Quantum Physics · Physics 2022-09-14 Sakil Khan , Bijay Kumar Agarwalla , Sachin Jain

Experiments performed on quantum systems often measure multitime correlation functions. When quantum systems are weakly coupled to their environment, the time evolution of such correlation functions can be reduced to that of the reduced…

Quantum Physics · Physics 2026-05-22 Thomas K. Bracht , Moritz Cygorek

Linear response functions are a cornerstone concept in physics as they enable efficient estimation of many dynamical properties. In addition to predicting dynamics of observables under perturbations without resimulating the system, these…

Quantum Physics · Physics 2025-10-08 Xiantao Li , Chunhao Wang

Photon emission correlation spectroscopy is an indispensable tool for the study of atoms, molecules, and, more recently, solid-state quantum defects. In solid-state systems, its most common use is as an indicator of single-photon emission,…

Quantum Physics · Physics 2023-11-28 Rebecca E. K. Fishman , Raj N. Patel , David A. Hopper , Tzu-Yung Huang , Lee C. Bassett

We derive an extension of the quantum regression theorem to calculate out-of-time-order correlation functions in Markovian open quantum systems. While so far mostly being applied in the analysis of many-body physics, we demonstrate that…

Quantum Physics · Physics 2019-03-13 Philip Daniel Blocher , Klaus Molmer

Among the fundamental quantum effects, quantum reflection (QR) is one of the most notable phenomena. Approximating arbitrary potentials in the Schr\"odinger equation as multistep potentials allows us to determine the reflection coefficient…

A fundamental task in photonics is to characterise an unknown optical process, defined by properties such as birefringence, spectral response, thickness and flatness. Amongst many ways to achieve this, single-photon probes can be used in a…

Developing and deploying advanced Quantum Repeater (QR) technologies will be necessary to scale quantum networks to longer distances. Depending on the error mitigation mechanisms adopted to suppress loss and errors, QRs are typically…

Quantum Physics · Physics 2025-12-30 Chuen Hei Chan , Charu Jain , Ezra Kissel , Wenji Wu , Edwin Barnes , Sophia E. Economou , Inder Monga

Quantile regression (QR) is a statistical tool for distribution-free estimation of conditional quantiles of a target variable given explanatory features. QR is limited by the assumption that the target distribution is univariate and defined…

Wiener-Khinchin theorem, the fact that the autocorrelation function of a time process has a spectral decomposition given by its power spectrum intensity, can be used in many disciplines. However, the applications based on a quantum…

Quantum Physics · Physics 2022-05-24 Yuanyuan Chen , Lixiang Chen

We investigate the intensity correlation properties of single photons emitted from an optically excited single semiconductor quantum dot. The second order temporal coherence function of the photons emitted at various wavelengths is measured…

Strongly Correlated Electrons · Physics 2009-11-07 D. V. Regelman , U. Mizrahi , D. Gershoni , E. Ehrenfreund , W. V. Schoenfeld , P. M. Petroff

Quantum resource theories (QRTs) offer a highly versatile and powerful framework for studying different phenomena in quantum physics. From quantum entanglement to quantum computation, resource theories can be used to quantify a desirable…

Quantum Physics · Physics 2019-04-23 Eric Chitambar , Gilad Gour

Fluctuation theorems have elevated the second law of thermodynamics to a statistical realm by establishing a connection between time-forward and time-reversal probabilities, providing invaluable insight into nonequilibrium dynamics. While…

Quantum Physics · Physics 2025-06-05 Hui Li , Jie Xie , Hyukjoon Kwon , Yixin Zhao , M. S. Kim , Lijian Zhang

The recently established resource theory of quantum coherence allows for a quantitative understanding of the superposition principle, with applications reaching from quantum computing to quantum biology. While different quantifiers of…

Quantum experiments yield random data. We show that the most efficient way to store this empirical information by a finite number of bits is by means of the vector of square roots of observed relative frequencies. This vector has the unique…

Quantum Physics · Physics 2007-05-23 Johann Summhammer

An emissivity formula is derived using the generalised Fermi-Weizacker-Williams method of virtual photons which accounts for the recoil the charged particle experiences as it emits radiation. It is found that through this derivation the…

Plasma Physics · Physics 2015-12-09 J. L. Martins , M. Vranic , T. Grismayer , J. Vieira , R. A. Fonseca , L. O. Silva

Strong correlation of photons, particularly in the single-photon regime, has recently been exploited for various applications in quantum information processing. Existing correlation measurements, however, do not fully characterize…

Quantum Physics · Physics 2015-05-18 Hyun-Gue Hong , Hyunchul Nha , Jai-Hyung Lee , Kyungwon An

A precise time-dependent control of a quantum system relies on an accurate account of the quantum interference among the system, the control and the environment. A diagrammatic technique has been recently developed to precisely calculate…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Ching-Kit Chan , L. J. Sham
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