<?xml version="1.1" encoding="utf-8"?>
<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">JERA</journal-id><journal-title-group><journal-title>Journal of Electronic Research and Application</journal-title></journal-title-group><issn>2208-3502</issn><eissn>2208-3510</eissn><publisher><publisher-name>Bio-Byword Scientific Publishing Pty. Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26689/jera.v9i4.11468</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>Temporal SU(1,1) Interferometer Based on Four- Wave Mixing Time Lens and Its Applications in Ultrafast Time-Frequency Manipulation</title><url>https://artdesignp.com/journal/JERA/9/4/10.26689/jera.v9i4.11468</url><author>LiuTianyu,LiuZepeng</author><pub-date pub-type="publication-year"><year>2025</year></pub-date><volume>9</volume><issue>4</issue><history><date date-type="pub"><published-time>2025-08-08</published-time></date></history><abstract>Temporal optics, which enables lossless manipulation of ultrafast pulses, offers a new dimension for the regulation of quantum optical fields. In this paper, we established a temporal Fourier transform (TF) system based on a four-wave mixing (FWM) time lens and constructed a full quantum theoretical model for the resulting temporal SU(1,1) interferometer. This interferometer has high temporal resolution, can impose interference in both time and frequency domains, and is sensitive to the phase derivative. By introducing linear time-varying phase modulation, we achieved sub-picosecond precision in temporal autocorrelation measurements and generated ​an optical frequency comb with a fixed interval based on a feedback iteration mechanism. Theoretical analysis reveals ​the crucial regulatory role of time-frequency coupling in quantum interference, providing novel solutions for ultrafast quantum imaging, temporal mode encoding, and the generation of optical frequency quantization.</abstract><keywords/></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Tournois P, 1964, Optical Analogy of Pulse Compression. Proceedings of the Academy of Sciences, 258(15): 3839–3842.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B2" content-type="article"><label>2</label><element-citation publication-type="journal"><p>Tournois P, Vernet JL, Bienvenu G, 1968, On the Optical Analogy of Certain Electronic Assemblies: Formation of Temporal Images of Electrical Signals. Proceedings of the Academy of Sciences, 267: 375–378.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B3" content-type="article"><label>3</label><element-citation publication-type="journal"><p>Akhmanov SA, Sukhorukov AP, Chirkin AS, 1969, Nonstationary Phenomena and Space-Time Analogy in Nonlinear Optics. Soviet Physics - Journal of Experimental and Theoretical Physics, 28(4): 748–757.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B4" content-type="article"><label>4</label><element-citation publication-type="journal"><p>Kolner BH, Nazarathy M, 1989, Temporal Imaging with a Time Lens. Optics Letters, 14(12): 630–632.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B5" content-type="article"><label>5</label><element-citation publication-type="journal"><p>Kolner BH, 1994, Space-Time Duality and the Theory of Temporal Imaging. IEEE Journal of Quantum Electronics, 30(8): 1951–1963.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B6" content-type="article"><label>6</label><element-citation publication-type="journal"><p>Setala T, Shirai T, Friberg AT, 2010, Fractional Fourier Transform in Temporal Ghost Imaging with Classical Light. Physical Review A, 82(4): 043813.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B7" content-type="article"><label>7</label><element-citation publication-type="journal"><p>Ryczkowski P, Barbier M, Friberg AT, et al., 2016, Ghost Imaging in the Time Domain. Nature Photonics, 10(3): 167–170.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B8" content-type="article"><label>8</label><element-citation publication-type="journal"><p>Patera G, Horoshko DB, Kolobov MI, 2018, Space-Time Duality and Quantum Temporal Imaging. Physical Review A, 98(5): 053815.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B9" content-type="article"><label>9</label><element-citation publication-type="journal"><p>Dong S, Zhang W, Huang Y, et al., 2016, Long-Distance Temporal Quantum Ghost Imaging Over Optical Fibers. Scientific Reports, 6(1): 26022.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B10" content-type="article"><label>10</label><element-citation publication-type="journal"><p>Yurke B, McCall SL, Klauder JR, 1986, SU(2) and SU (1,1) Interferometers. Physical Review A, 33(6): 4033.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B11" content-type="article"><label>11</label><element-citation publication-type="journal"><p>Meir S, Tamir Y, Duadi H, et al., 2023, Ultrafast Temporal SU(1,1) Interferometer. Physical Review Letters, 130(25): 253601.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B12" content-type="article"><label>12</label><element-citation publication-type="journal"><p>Bennett CV, Kolner BH, 2002, Aberrations in Temporal Imaging. IEEE Journal of Quantum Electronics, 37(1): 20–32.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B13" content-type="article"><label>13</label><element-citation publication-type="journal"><p>Salem R, Foster MA, Gaeta AL, 2013, Application of Space–Time Duality to Ultrahigh-Speed Optical Signal Processing. Advances in Optics and Photonics, 5(3): 274–317.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B14" content-type="article"><label>14</label><element-citation publication-type="journal"><p>Shi J, Patera G, Kolobov MI, et al., 2017, Quantum Temporal Imaging by Four-Wave Mixing. Optics Letters, 42(16): 3121–3124.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B15" content-type="article"><label>15</label><element-citation publication-type="journal"><p>Kuzucu O, Okawachi Y, Salem R, et al., 2009, Spectral Phase Conjugation Via Temporal Imaging. Optics Express, 17(22): 20605–20614.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B16" content-type="article"><label>16</label><element-citation publication-type="journal"><p>Foster MA, Salem R, Okawachi Y, et al., 2009, Ultrafast Waveform Compression Using a Time-Domain Telescope. Nature Photonics, 3(10): 581–585.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B17" content-type="article"><label>17</label><element-citation publication-type="journal"><p>Mouradian LK, Louradour F, Messager V, et al., 2000, Spectro-Temporal Imaging of Femtosecond Events. IEEE Journal of Quantum Electronics, 36(7): 795–801.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B18" content-type="article"><label>18</label><element-citation publication-type="journal"><p>Foster MA, Salem R, Geraghty DF, et al., 2008, Silicon-Chip-Based Ultrafast Optical Oscilloscope. Nature, 456(7218): 81–84.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B19" content-type="article"><label>19</label><element-citation publication-type="journal"><p>Schroder J, Wang F, Clarke A, et al., 2010, Aberration-Free Ultra-Fast Optical Oscilloscope Using a Four-Wave Mixing Based Time-Lens. Optics Communications, 283(12): 2611–2614.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B20" content-type="article"><label>20</label><element-citation publication-type="journal"><p>Fortier T, Baumann E, 2020, Author Correction: 20 Years of Developments in Optical Frequency Comb Technology and Applications. Communications Physics, 3(1): 85.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
