{"id":15905,"date":"2024-01-18T22:15:05","date_gmt":"2024-01-18T22:15:05","guid":{"rendered":"https:\/\/liquidinstruments.com\/?p=15905"},"modified":"2024-10-19T00:25:35","modified_gmt":"2024-10-19T00:25:35","slug":"introduction-to-quantum-optics","status":"publish","type":"post","link":"https:\/\/liquidinstruments.com\/blog\/introduction-to-quantum-optics\/","title":{"rendered":"An ultrafast introduction to quantum optics","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Quantum optics as a concept dates back to either 1900 or 1905, years when groundbreaking work in the realm of quantum mechanics was published by <a href=\"https:\/\/en.wikipedia.org\/wiki\/Max_Planck\" target=\"_blank\" rel=\"noopener\">Max Planck<\/a> and <a href=\"https:\/\/en.wikipedia.org\/wiki\/Albert_Einstein\" target=\"_blank\" rel=\"noopener\">Albert Einstein<\/a>, respectively. In Planck\u2019s case, he was working on a discrepancy that later became artfully known as the \u201c<\/span><a href=\"http:\/\/spiff.rit.edu\/classes\/phys314\/lectures\/bb\/bb.html\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">ultraviolet catastrophe<\/span><\/a><span style=\"font-weight: 400;\">.\u201d Planck\u2019s <\/span><span style=\"font-weight: 400;\">solution<\/span><span style=\"font-weight: 400;\"> to this problem, in brief, was to assume that the energy of light was not a continuous spectrum \u2014 that it was instead organized into <\/span><i><span style=\"font-weight: 400;\">quanta<\/span><\/i><span style=\"font-weight: 400;\">. Einstein used this radical idea to explain another issue confounding physicists at the time, known as the <\/span><a href=\"https:\/\/www.aps.org\/publications\/apsnews\/200501\/history.cfm\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">photoelectric effect<\/span><\/a><span style=\"font-weight: 400;\">. His 1905 paper explaining this phenomenon was the first of his four <\/span><i><span style=\"font-weight: 400;\">annus mirabilis <\/span><\/i><span style=\"font-weight: 400;\">publications that year and earned him the <\/span><span style=\"font-weight: 400;\">1921 Nobel Prize in Physics<\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">These quanta that Maxwell proposed and Einstein described are known as photons, and they are a key component of the wave-particle duality of light, an observation that revolutionized existing physics and essentially invented the entire field of quantum mechanics. The branch of quantum optics (QO) later grew out of this early work, seeking to further understand the quantum nature of light, particularly light as it interacts with matter. Over 100 years later, QO has grown into an enormous field of research with many of its own sub-fields, and earning many Nobel Prizes for its researchers.\u00a0<\/span><\/p>\n<h2><b>Sub-fields of quantum optics: from sensing to computation<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Quantum optics has many sub-fields; some of the most prominent are described below. This is not an exhaustive list, as new discoveries are being made every day. Additionally, research within a sub-field does not always fit into neat boxes \u2014 overlap of subject matter and\u00a0 experimental techniques are common.\u00a0<\/span><\/p>\n<h3>Quantum information science (QIS)<\/h3>\n<p><span style=\"font-weight: 400;\">QIS involves the study of quantum computing, communication, and cryptography. These fields typically utilize quantum states for information processing and secure data transmission. This has arguably been the most prominent application of quantum optics of the past decade, as the <\/span><span style=\"font-weight: 400;\">2022 Nobel Prize in Physics<\/span><span style=\"font-weight: 400;\"> was awarded for work in the field of QIS. The last few years have also seen quantum computing transform from a niche academic topic into a large-scale industry. Even strictly staying within the bounds of optical quantum computing, many types of qubit systems are vying for supremacy, including <\/span><span style=\"font-weight: 400;\">trapped ions<\/span><span style=\"font-weight: 400;\">, <\/span><span style=\"font-weight: 400;\">neutral atoms<\/span><span style=\"font-weight: 400;\">, and <\/span><span style=\"font-weight: 400;\">photonic processors<\/span><span style=\"font-weight: 400;\">. Outside of computation, fields such as cryptography may see changes due to the promise of secure communications via <\/span><a href=\"https:\/\/www.global.toshiba\/ww\/products-solutions\/security-ict\/qkd.html\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">quantum key distribution<\/span><\/a><span style=\"font-weight: 400;\"> (QKD).<\/span><\/p>\n<h3>Quantum metrology<\/h3>\n<p><span style=\"font-weight: 400;\">This field <\/span><span style=\"font-weight: 400;\">centers around the measurement of physical quantities using quantum properties such as superposition and entanglement, ultimately aiming for accuracy beyond classical limits. Applications include timekeeping with <\/span><a href=\"https:\/\/liquidinstruments.com\/case-studies\/advancing-optical-clock-performance-with-moku-pro\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">optical atomic clocks<\/span><\/a><span style=\"font-weight: 400;\">, <\/span><a href=\"https:\/\/nanoquant.seas.upenn.edu\/research\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">quantum sensing<\/span><\/a><span style=\"font-weight: 400;\">, and <\/span><a href=\"https:\/\/physicsworld.com\/a\/quantum-holography-images-objects-with-undetected-light\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">quantum holographic imaging<\/span><\/a><span style=\"font-weight: 400;\">.<\/span><\/p>\n<h3>Cavity quantum electrodynamics<span style=\"font-weight: 400;\"> (CQED) <\/span><\/h3>\n<p><span style=\"font-weight: 400;\">CQED studies the interaction between quantized light and matter within a cavity. Optical cavities make excellent spaces to isolate and preserve single atoms (either artificial or natural) and photons, allowing us to investigate phenomena like quantum entanglement and coherence. Groundbreaking work in CQED earned the <\/span><a href=\"https:\/\/www.nobelprize.org\/prizes\/physics\/2012\/summary\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">2012 Nobel Prize in Physics<\/span><\/a><span style=\"font-weight: 400;\">. Although still an active field of research on its own, CQED techniques developed in the 1990s and 2000s played an integral part in the development of <\/span><span style=\"font-weight: 400;\">modern quantum computer architecture<\/span><span style=\"font-weight: 400;\">.\u00a0<\/span><\/p>\n<h3>Quantum nonlinear optics<span style=\"font-weight: 400;\"> (QNLO) <\/span><\/h3>\n<p><span style=\"font-weight: 400;\">QNLO examines the interaction of light with matter in so-called <\/span><i><span style=\"font-weight: 400;\">nonlinear media<\/span><\/i><span style=\"font-weight: 400;\">, meaning a medium where the polarization responds non-linearly to an applied electric field. This usually can only be achieved at extremely high powers, a condition that modern lasers are able to meet. QNLO focuses on the effective interaction of individual <\/span><a href=\"https:\/\/www.weizmann.ac.il\/complex\/Firstenberg\/quantum-nonlinear-optics-strongly-interacting-photons\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">photons with other photons<\/span><\/a><span style=\"font-weight: 400;\"> in systems such as Rydberg atoms.\u00a0<\/span><\/p>\n<h3>Ultrafast optics<\/h3>\n<p><span style=\"font-weight: 400;\">This field deals with extremely short time-scale phenomena in quantum systems, typically on the order of 10<\/span><span style=\"font-weight: 400;\">-15<\/span><span style=\"font-weight: 400;\"> (femtosecond) to 10<\/span><span style=\"font-weight: 400;\">-18<\/span><span style=\"font-weight: 400;\"> (attosecond) scale. Pioneering work on the generation of ultrafast laser pulses recently won the <\/span><a href=\"https:\/\/www.nobelprize.org\/prizes\/physics\/2023\/summary\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">2023 Nobel Prize in Physics<\/span><\/a><span style=\"font-weight: 400;\">. The pulses can be used to probe and control the dynamics of atoms and electrons, which occur on incredibly short timescales. Ultrafast laser pulses mean that they are also <\/span><span style=\"font-weight: 400;\">intense in power<\/span><span style=\"font-weight: 400;\">, which means that they are particularly useful for generating nonlinear behavior in materials (see the section on QNLO above).\u00a0<\/span><\/p>\n<h2><b>The building blocks of quantum optics experiments\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">While the range of experiments performed in this field is vast, there are some pieces of equipment that are common throughout many quantum optics labs.\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Lasers. It is safe to say that quantum optics as a field would not exist without the laser. First proposed by Schawlow and Townes <\/span><a href=\"https:\/\/www.aps.org\/publications\/apsnews\/200312\/history.cfm\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">in 1958 <\/span><\/a><span style=\"font-weight: 400;\">and demonstrated by Maiman <\/span><a href=\"https:\/\/www.aps.org\/publications\/apsnews\/201005\/physicshistory.cfm\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">in 1960<\/span><\/a><span style=\"font-weight: 400;\">, lasers have become ubiquitous throughout physics, engineering, and chemistry research. The two main features of lasers are that they are <\/span><i><span style=\"font-weight: 400;\">monochromatic<\/span><\/i><span style=\"font-weight: 400;\"> and <\/span><i><span style=\"font-weight: 400;\">coherent, <\/span><\/i><span style=\"font-weight: 400;\">meaning that they operate at a single frequency and that all of the emitted photons are in phase with each other. These properties allow researchers to target and drive specific atomic transitions, preserve quantum state information over long distances, and perform highly accurate interferometry.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.optoscience.com\/maker\/gooch\/pdf\/IntroductionAO.pdf\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Acousto-optic <\/span><\/a><span style=\"font-weight: 400;\">and electro-optic modulators (AOM\/EOM). While operating on different physical principles, these two devices are very similar in functionality, which is to modulate a laser beam. By applying an RF signal to the input of the modulator in conjunction with the beam, one can amplitude-modulate (AM) or polarization-modulate at a given frequency. Modulated signals are easily detected with a <\/span><a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/lock-in-amplifier\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Lock-in Amplifier<\/span><\/a><span style=\"font-weight: 400;\">. The RF signal itself can be controlled by an <\/span><a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/arbitrary-waveform-generator\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Arbitrary Waveform Generator<\/span><\/a><span style=\"font-weight: 400;\"> for advanced pulse shaping.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Optical cavity or resonator. Many experiments on the quantum scale involve single-photon or single-atom physics. Thus, it is important that the interaction between light and matter be enhanced by the <\/span><a href=\"https:\/\/www.sciencedirect.com\/topics\/earth-and-planetary-sciences\/optical-resonator\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">use of an optical cavity<\/span><\/a><span style=\"font-weight: 400;\">. Optical cavities typically consist of two opposing, highly polished mirrors and have a high <\/span><i><span style=\"font-weight: 400;\">quality factor<\/span><\/i><span style=\"font-weight: 400;\">, meaning that the light oscillates many times between the two mirrors before exiting the cavity. The frequency of laser beams are typically synchronized to the cavity resonance via a technique known as <\/span><a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/laser-lock-box\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">laser locking<\/span><\/a><span style=\"font-weight: 400;\">.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Interferometers. These devices consist of an <\/span><a href=\"https:\/\/faraday.physics.utoronto.ca\/PVB\/Harrison\/MachZehnder\/MachZehnder.html\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">arrangement of beam-splitters and mirrors<\/span><\/a><span style=\"font-weight: 400;\">, and operate by splitting an incoming laser beam into two paths. One of these paths is used as a reference signal, while the other contains the system under test. After this, another beam splitter recombines the beams to create interference patterns, which are analyzed to measure small changes in displacement, rotation, or refractive index. Photodiodes and a <\/span><a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/lock-in-amplifier\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Lock-in Amplifier<\/span><\/a><span style=\"font-weight: 400;\"> are typically used to measure the output of an optical interferometer.\u00a0<\/span><\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-15967 size-full\" src=\"https:\/\/liquidinstruments.com\/wp-content\/uploads\/2024\/01\/an-ultrafast-introduction-to-quantum-optics.png\" alt=\"an ultrafast introduction to quantum optics\" width=\"731\" height=\"300\" srcset=\"https:\/\/liquidinstruments.com\/wp-content\/uploads\/2024\/01\/an-ultrafast-introduction-to-quantum-optics.png 731w, https:\/\/liquidinstruments.com\/wp-content\/uploads\/2024\/01\/an-ultrafast-introduction-to-quantum-optics-300x123.png 300w, https:\/\/liquidinstruments.com\/wp-content\/uploads\/2024\/01\/an-ultrafast-introduction-to-quantum-optics-600x246.png 600w\" sizes=\"(max-width: 731px) 100vw, 731px\" \/><\/p>\n<h2><b>Future perspectives for quantum optics\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Technology in quantum optics continues to improve, leading to increased sensitivity in timekeeping and measurement, as well as safer encryption of data. Optical quantum computing also promises to solve certain problems that are difficult on today\u2019s computers. Ultrafast, high-power lasers can extract previously-unknown behavior from materials. To keep this field moving forward, precise and versatile test and measurement equipment must evolve with it.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">To learn more about how Moku software-defined instrumentation is propelling the development of quantum optics experiments, check out these case studies:\u00a0<\/span><\/p>\n<p><a href=\"https:\/\/liquidinstruments.com\/blog\/2023\/09\/18\/advancing-optical-clock-performance-with-moku-pro\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Advancing optical clock performance<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><\/a><span style=\"font-weight: 400;\">Learn how researchers at Humboldt University of Berlin and the Ferdinand-Braun-Institut are using a digital-first approach to eliminate tedious manual processes, automate essential tests, and optimize clock stability.<\/span><\/p>\n<p><a href=\"https:\/\/liquidinstruments.com\/blog\/2024\/01\/02\/auto-aligning-optical-cavity-systems-with-mokugo\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Auto-aligning optical cavities with machine learning<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><\/a><span style=\"font-weight: 400;\">Learn how Floquet researchers are using software-defined instrumentation to automate laser beam alignment and advance machine learning capabilities to physical systems.<\/span><\/p>\n<p><a href=\"https:\/\/liquidinstruments.com\/blog\/2024\/01\/24\/accelerating-multiparameter-estimation-in-quantum-optics-experiments-with-mokulab\/\" target=\"_blank\" rel=\"noopener\">Increasing precision in quantum metrology<\/a><\/p>\n<p>Learn how a team at Shanghai Jiao Tong University are pushing quantum metrological techniques to their limit using digital lock-in detection and spectrum analysis.<\/p>\n<p>To discover how to get started implementing a phase-locked loop (PLL) with the Moku Lock-in Amplifier, check out our <a href=\"https:\/\/liquidinstruments.com\/phase-locked-loop-checklist\/\" target=\"_blank\" rel=\"noopener\">quick-start guide<\/a>.<\/p>\n<h2><b>Questions?<\/b><\/h2>\n<h3><span style=\"font-weight: 400;\">Get answers to FAQs in our Knowledge Base<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">If you have a question about a device feature or instrument function, check out our extensive <\/span><a href=\"https:\/\/knowledge.liquidinstruments.com\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">Knowledge Base<\/span><\/a><span style=\"font-weight: 400;\"> to find the answers you\u2019re looking for. You can also quickly see popular articles and refine your search by product or topic.<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Join our User Forum to stay connected<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Want to request a new feature? Have a support tip to share? From use case examples to new feature announcements and more, the <\/span><a href=\"https:\/\/forum.liquidinstruments.com\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-weight: 400;\">User Forum<\/span><\/a><span style=\"font-weight: 400;\"> is your one-stop shop for product updates, as well as connection to Liquid Instruments and our global user community.<\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Quantum optics as a concept dates back to either 1900 or 1905, years when groundbreaking work in the realm of quantum mechanics was published by Max Planck and Albert Einstein, respectively. In Planck\u2019s case, he was working on a discrepancy that later became artfully known as the \u201cultraviolet catastrophe.\u201d Planck\u2019s solution to this problem, in [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":49,"featured_media":15906,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"content-type":"","footnotes":""},"categories":[3],"tags":[245,149],"class_list":["post-15905","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog","tag-digital-lock-in-amplifier","tag-lock-in-amplifier","site-category-arbitrary-waveform-generator","site-category-laser-lock-box","site-category-lock-in-amplifier","site-category-waveform-generator"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.0) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>An Ultrafast Introduction to Quantum Optics - Liquid Instruments<\/title>\n<meta name=\"description\" content=\"An ultrafast introduction to quantum optics. 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