{"id":25071,"date":"2025-07-25T15:33:49","date_gmt":"2025-07-25T15:33:49","guid":{"rendered":"https:\/\/liquidinstruments.com\/?p=25071"},"modified":"2025-08-29T04:40:43","modified_gmt":"2025-08-29T04:40:43","slug":"quantum-sensing-with-atomic-systems-and-reconfigurable-instrumentation-qa","status":"publish","type":"post","link":"https:\/\/liquidinstruments.com\/blog\/quantum-sensing-with-atomic-systems-and-reconfigurable-instrumentation-qa\/","title":{"rendered":"Quantum sensing with atomic systems and reconfigurable instrumentation: Q&#038;A recap","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text css=&#8221;&#8221;]<span style=\"font-weight: 400;\">This recap and Q+A complement our webinar, <\/span><b>Quantum sensing with atomic systems and reconfigurable instrumentation,<\/b><span style=\"font-weight: 400;\"> which we co-hosted with <a href=\"https:\/\/www.photonics.com\/\" target=\"_blank\" rel=\"noopener\">Photonics Media<\/a> on July 23rd, 2025. If you weren\u2019t able to attend live, you can register now for <a href=\"https:\/\/liquidinstruments.com\/webinars\/quantum-sensing-with-atomic-systems-and-reconfigurable-instrumentation\/\" target=\"_blank\" rel=\"noopener\">on-demand access<\/a>.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In addition to a webinar summary, we\u2019re providing in-depth answers to select audience questions below.<\/span><\/p>\n<h1><span style=\"font-weight: 400;\">Webinar recap<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">During this presentation, we opened with some of the physics behind quantum sensing, including requirements for creating a quantum sensor and an in-depth explanation of magnetometry using neutral atoms and Ramsey interferometry. We then discussed many of the difficulties in performing quantum sensing experiments, including laser instability, jitter, and low SNR. Lastly, we introduced Moku and highlighted some of the instruments that could help address these challenges.&nbsp;<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In a live demonstration, we showed different techniques for evaluating phase stability and measuring precise time intervals, using the <a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/phasemeter\/\" target=\"_blank\" rel=\"noopener\">Phasemeter<\/a> and <a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/time-frequency-analyzer\/\" target=\"_blank\" rel=\"noopener\">Time &amp; Frequency Analyzer<\/a>. We also mimicked a Ramsey sequence using the Moku <a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/arbitrary-waveform-generator\/\" target=\"_blank\" rel=\"noopener\">Arbitrary Waveform Generator<\/a> and showed how to demodulate input pulses using the <a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/lock-in-amplifier\/\" target=\"_blank\" rel=\"noopener\">Lock-in Amplifier<\/a>. &nbsp;<\/span><\/p>\n<h1><span style=\"font-weight: 400;\">Questions from the audience<\/span><\/h1>\n<h2>&nbsp;<\/h2>\n<h2><span style=\"font-weight: 400;\">With no built-in preamplifier, is the input sensitivity of Moku devices determined by the ADC resolution and input voltage range? How can you determine the actual sensitivity in real-world conditions, including the effects of noise, temperature, and other non-idealities?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\"><a href=\"https:\/\/liquidinstruments.com\/products\/hardware-platforms\/mokudelta\/\" target=\"_blank\" rel=\"noopener\">Moku:Delta<\/a> and <a href=\"https:\/\/liquidinstruments.com\/products\/hardware-platforms\/mokupro\/\" target=\"_blank\" rel=\"noopener\">Moku:Pro<\/a> devices use a blended ADC architecture to optimize performance across a wide frequency range. At lower frequencies, the signal path uses a high-resolution ADC (up to 20 bits in Moku:Delta), while at higher frequencies, it blends in a faster, lower-resolution ADC (14-bit for Moku:Delta). This approach maintains low noise across a broad bandwidth, but it also means that input sensitivity isn\u2019t a fixed value.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">You can estimate the theoretical resolution based on bit depth and full-scale input range. For instance, 20-bit resolution over a \u00b15\u202fV range (10\u202fVpp) yields a quantization step of approximately 9.5\u202f\u00b5V. However, this figure only reflects the ADC\u2019s ideal quantization limit. In practice, sensitivity is defined by the system\u2019s noise floor, which includes contributions from thermal noise, analog front-end components, reference stability, and even clock jitter. These factors vary with both frequency and environment.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">To determine real-world sensitivity, we recommend using the Spectrum Analyzer instrument with the inputs shorted or terminated to 50\u202f\u03a9. This allows you to directly measure the RMS noise within your frequency band of interest. For even better performance, the <a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/spectrum-analyzer\/\" target=\"_blank\" rel=\"noopener\">Spectrum Analyzer<\/a>\u2019s <a href=\"https:\/\/liquidinstruments.com\/blog\/cross-correlation-and-spectrum-analysis\/\" target=\"_blank\" rel=\"noopener\">cross-correlation function<\/a> can help reduce uncorrelated noise sources, which can recover signals below the individual channel noise floors.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For applications involving extremely low-level signals (\u00b5V or nV), many users opt to integrate external low-noise preamplifiers, giving you the flexibility to match the front-end sensitivity to your specific measurement requirements. Moku\u2019s flexible architecture enables you to characterize your system\u2019s effective sensitivity with precision, and in many cases, extract signals far below the ADC\u2019s nominal LSB through smart signal processing techniques like averaging, filtering, and lock-in detection.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Are PLL and PID feedback possible?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Yes, Moku provides dedicated tools for implementing both Phase-Locked Loops (PLLs) and Proportional-Integral-Derivative (PID) control.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">PLLs are used to monitor a periodic input signal and generate an error signal when the frequency or phase drifts from a reference. This error signal can then drive a voltage-controlled oscillator (VCO) or another actuator to keep the output &#8220;locked&#8221; to the input. Users can create custom PLLs using instruments like the Lock-in Amplifier and Waveform Generator, while the Phasemeter instrument includes built-in PLLs on each input channel for microradian-level phase tracking resolution.<\/span><i><span style=\"font-weight: 400;\">&nbsp;<\/span><\/i><\/p>\n<p><span style=\"font-weight: 400;\">To learn more about PLLs, see our <a href=\"https:\/\/liquidinstruments.com\/webinars\/achieving-precise-phase-control-in-optical-applications-with-digital-phase-locked-loops\/\" target=\"_blank\" rel=\"noopener\">webinar on the topic<\/a>.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For general feedback applications, all Moku devices also support a standalone PID Controller instrument. Additionally, several instruments, including the Laser Lock Box and Lock-in Amplifier, offer integrated PID control blocks for implementing real-time feedback within those instruments.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">To read about control theory and PID design, see our <a href=\"https:\/\/liquidinstruments.com\/frequency-domain-control-the-ultimate-guide-to-control-loops\/\" target=\"_blank\" rel=\"noopener\">application note<\/a>.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">These features allow users to implement closed-loop control across a wide range of classical and quantum sensing experiments, from cavity stabilization to active frequency locking and drift compensation.<\/span><\/p>\n<h2 style=\"text-align: left;\"><span style=\"font-weight: 400;\">What\u2019s the maximum output bandwidth? Do any Moku devices support IQ mixing or upconversion?&nbsp;<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Moku:Pro supports signal generation up to 500 MHz and acquisition up to 600\u202fMHz, while Moku:Delta extends both input and output bandwidth to 2\u202fGHz. If you need to generate or measure signals in the GHz range, for example, to drive solid-state qubits or other microwave-frequency transitions, you\u2019ll typically use an external IQ mixer for upconversion or downconversion.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">All Moku devices support IQ waveform generation through the <a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/arbitrary-waveform-generator\/\" target=\"_blank\" rel=\"noopener\">Arbitrary Waveform Generator<\/a>, allowing you to generate phase-synchronized baseband I and Q signals that feed directly into an external IQ mixer. This allows you to shift your signal up into the microwave domain using an external local oscillator (LO). It\u2019s a common and effective technique for not only quantum experiments, but radar prototyping, wireless communications, and other high-frequency applications.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">So while the IQ mixer hardware is external, the baseband signal generation can be fully handled by Moku, no matter what device you\u2019re using, as long as you&#8217;re within the analog output bandwidth of the device.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">What is the achievable time resolution when using Moku? What factors affect its practical limit?&nbsp;<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">The Moku:Pro <a href=\"https:\/\/liquidinstruments.com\/products\/integrated-instruments\/time-frequency-analyzer\/\" target=\"_blank\" rel=\"noopener\">Time &amp; Frequency Analyzer<\/a> features a digital bin width of 0.78\u202fps, which defines the minimum resolvable time difference between two events in the absence of noise. However, it&#8217;s important to interpret this number in context. Jitter, not bin width, is typically the limiting factor in real-world time resolution.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For Moku:Pro, the instrument jitter is specified to be &lt;20\u202fps RMS. This is primarily governed by the stability and phase noise of the internal system clock, along with the timing precision of the ADC and analog frontend, which are part of the signal path even for digital-like events such as TTL pulses. This jitter defines the practical limit on how precisely you can measure the time between two independent events.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In short, jitter reflects the <\/span><i><span style=\"font-weight: 400;\">timing uncertainty<\/span><\/i><span style=\"font-weight: 400;\"> introduced by the hardware, and is typically the dominant limiting factor in precision timing applications, as opposed to the <\/span><i><span style=\"font-weight: 400;\">granularity<\/span><\/i><span style=\"font-weight: 400;\"> of the timestamping system. If you\u2019d like to read more about the differences between these two quantities, read our <a href=\"https:\/\/liquidinstruments.com\/application-notes\/understanding-jitter-and-interpolation-in-the-moku-time-frequency-analyzer\/\" target=\"_blank\" rel=\"noopener\">application note<\/a> on the topic.&nbsp;<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Moku\u2019s level of timing performance is well suited for applications like coincidence detection, time-correlated single-photon counting (TCSPC), and quantum optics experiments, where picosecond-level resolution is required.<\/span><\/p>\n<p><strong>Thank you for viewing the webinar. If you have further questions, please see the links below.<\/strong>[\/vc_column_text][\/vc_column][\/vc_row][vc_row background=&#8221;gradient&#8221; layout=&#8221;vertical&#8221; options=&#8221;button&#8221; media_position=&#8221;right&#8221; media_type=&#8221;&#8221; ja_toggle_src=&#8221;&#8221; zh_toggle_src=&#8221;&#8221; kr_toggle_src=&#8221;&#8221; image=&#8221;&#8221; image_size=&#8221;full&#8221; aspect_ratio=&#8221;auto&#8221; max_width=&#8221;&#8221; center=&#8221;&#8221; href=&#8221;url:https%3A%2F%2Fknowledge.liquidinstruments.com%2F|title:Knowledge%20Base|target:_blank&#8221; style=&#8221;filled&#8221; size=&#8221;medium&#8221; href_secondary_btn=&#8221;&#8221; style-secondary=&#8221;filled&#8221; size-secondary=&#8221;medium&#8221; en_src=&#8221;&#8221; ja_src=&#8221;&#8221; zh_src=&#8221;&#8221; kr_src=&#8221;&#8221;][vc_column][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text css=&#8221;&#8221;]This recap and Q+A complement our webinar, Quantum sensing with atomic systems and reconfigurable instrumentation, which we co-hosted with Photonics Media on July 23rd, 2025. If you weren\u2019t able to attend live, you can register now for on-demand access. In addition to a webinar summary, we\u2019re providing in-depth answers to select audience questions below. [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":49,"featured_media":24570,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"content-type":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-25071","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog","site-category-mokudelta","site-category-mokupro"],"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>Digital feedback control loops in the frequency domain<\/title>\n<meta name=\"description\" content=\"Learn more about how to measure input sensitivity, implement active feedback, and understand event timing resolution.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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