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The manipulation of photon blockade via Newtonian gravity.
Sci Rep
June 2024
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, China.
We theoretically investigate the model of a quadratically coupled optomechanical system with a Newtonian gravitational potential in the weak-driving regime, where the optical cavity is driven by an external laser. The steady state of the whole system is treated in the framework of a few-photon subspace. We find that the conventional single-photon blockade, nonstandard types of single-photon blockade, two-photon blockade, and photon-induced tunneling can be induced by gravity when the quadratic optomechanical coupling strength remains constant.
View Article and Find Full Text PDFAnalysis of a detailed multi-stage model of stochastic gene expression using queueing theory and model reduction.
Math Biosci
July 2024
School of Biological Sciences, University of Edinburgh, Edinburgh EH9 3BF, UK. Electronic address:
We introduce a biologically detailed, stochastic model of gene expression describing the multiple rate-limiting steps of transcription, nuclear pre-mRNA processing, nuclear mRNA export, cytoplasmic mRNA degradation and translation of mRNA into protein. The processes in sub-cellular compartments are described by an arbitrary number of processing stages, thus accounting for a significantly finer molecular description of gene expression than conventional models such as the telegraph, two-stage and three-stage models of gene expression. We use two distinct tools, queueing theory and model reduction using the slow-scale linear-noise approximation, to derive exact or approximate analytic expressions for the moments or distributions of nuclear mRNA, cytoplasmic mRNA and protein fluctuations, as well as lower bounds for their Fano factors in steady-state conditions.
View Article and Find Full Text PDFUncovering the effect of RNA polymerase steric interactions on gene expression noise: Analytical distributions of nascent and mature RNA numbers.
Phys Rev E
September 2023
School of Biological Sciences, University of Edinburgh, Edinburgh EH9 3JH, United Kingdom.
The telegraph model is the standard model of stochastic gene expression, which can be solved exactly to obtain the distribution of mature RNA numbers per cell. A modification of this model also leads to an analytical distribution of nascent RNA numbers. These solutions are routinely used for the analysis of single-cell data, including the inference of transcriptional parameters.
View Article and Find Full Text PDFThe minimal intrinsic stochasticity of constitutively expressed eukaryotic genes is sub-Poissonian.
Sci Adv
August 2023
Department of Biological Sciences, Virginia Tech, Blacksburg, VA 24061, USA.
Gene expression inherently gives rise to stochastic variation ("noise") in the production of gene products. Minimizing noise is crucial for ensuring reliable cellular functions. However, noise cannot be suppressed below a certain intrinsic limit.
View Article and Find Full Text PDFSingle-Mode Photon Blockade Enhanced by Bi-Tone Drive.
Phys Rev Lett
July 2022
CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China.
Article Synopsis
- A new method to observe photon blockade in a single bosonic mode with low nonlinearity is introduced and tested through numerical simulations.
- The approach successfully generates both sub-Poissonian and super-Poissonian light with high reliability using a simple bi-tone drive.
- This technique can create a sub-Poissonian photon source with kHz count rates in a lithium niobate microcavity and is adaptable to various bosonic systems with different energy structures.
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