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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2018-9-5-597-602</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-672</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Vibron transport in macromolecular chains with squeezed phonons</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Cevizovi ˇ c</surname><given-names>D.</given-names></name></name-alternatives><bio xml:lang="en"><p>11001 Belgrade</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Chizhov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Joliot-Curie, 6, Dubna, 141980</p></bio><email xlink:type="simple">chizhov@theor.jinr.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Galovic</surname><given-names>S.</given-names></name></name-alternatives><bio xml:lang="en"><p>11001 Belgrade</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Vinca Institute of Nuclear Sciences</institution><country>Serbia</country></aff><aff xml:lang="en" id="aff-2"><institution>Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research; Dubna State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>12</day><month>08</month><year>2025</year></pub-date><volume>9</volume><issue>5</issue><fpage>597</fpage><lpage>602</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Cevizovi ˇ c D., Chizhov A.V., Galovic S., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Cevizovi ˇ c D., Chizhov A.V., Galovic S.</copyright-holder><copyright-holder xml:lang="en">Cevizovi ˇ c D., Chizhov A.V., Galovic S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/672">https://nanojournal.ifmo.ru/jour/article/view/672</self-uri><abstract><p>We investigate physical properties of a single vibronic intramolecular excitation propagating through a macromolecule, whose vibrational state can be described as a squeezed vacuum state. For a theoretical description of such a process, the partial dressing method of the vibronic excitation due to its interaction with phonons is used. We study the influence of the model parameters and strength of squeezing on the vibron dressing. It is demonstrated that for certain critical values of the model parameters a polaron crossover can occur, at which there is a sharp change in the migration nature of a vibron from the practically free to the heavy quasiparticle dressed by a phonon cloud. Increasing the strength of phonon squeezing is shown to increase the critical values of the model parameters, so that for high phonon squeezing the polaron crossover takes place in the very strong-coupling and adiabatic regime. </p></abstract><kwd-group xml:lang="en"><kwd>energy transport</kwd><kwd>squeezed state</kwd><kwd>vibron</kwd><kwd>small polaron</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work is partly supported by the bilateral project between the Serbian Ministry of Education and Science and “Theory of Condensed Matter” at JINR, Dubna, and by Serbian Ministry of Education and Science, under Contract Nos. III–45010 and III–45005.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Dekker C., Ratner M. A. Electronic properties of DNA. Phys. World, 2001, 14 (8), P. 29–34.</mixed-citation><mixed-citation xml:lang="en">Dekker C., Ratner M. A. Electronic properties of DNA. Phys. World, 2001, 14 (8), P. 29–34.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Convell E. Polarons and transport in DNA. Top. Curr. Chem., 2004, 237, P. 73–102.</mixed-citation><mixed-citation xml:lang="en">Convell E. Polarons and transport in DNA. Top. Curr. Chem., 2004, 237, P. 73–102.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Mirkin C. A., Letsinger R. L., Mucic R. C., Storhoff J. J. A DNA-based method for rationally assembling nanoparticles into macroscopic materials. Nature, 1996, 382 (6592), P. 607–609.</mixed-citation><mixed-citation xml:lang="en">Mirkin C. A., Letsinger R. L., Mucic R. C., Storhoff J. J. A DNA-based method for rationally assembling nanoparticles into macroscopic materials. Nature, 1996, 382 (6592), P. 607–609.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Davydov A. S. The theory of contraction of proteins under their excitation. J. Theor. Biol., 1973, 38 (3), P. 559–569.</mixed-citation><mixed-citation xml:lang="en">Davydov A. S. The theory of contraction of proteins under their excitation. J. Theor. Biol., 1973, 38 (3), P. 559–569.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Davydov A. S. Solitons in molecular systems. Phys. Scr., 1979, 20 (2), P. 387–394.</mixed-citation><mixed-citation xml:lang="en">Davydov A. S. Solitons in molecular systems. Phys. Scr., 1979, 20 (2), P. 387–394.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Alexander D. M., Krumhansl J. A. Localized excitations in hydrogen-bonded molecular crystals. Phys. Rev. B, 1986, 33 (10), P. 7172–7185.</mixed-citation><mixed-citation xml:lang="en">Alexander D. M., Krumhansl J. A. Localized excitations in hydrogen-bonded molecular crystals. Phys. Rev. B, 1986, 33 (10), P. 7172–7185.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Holstein T. Studies of polaron motion: Part I. The molecular-crystal model. Annals of Physics, 1959, 8 (3), P. 325–342.</mixed-citation><mixed-citation xml:lang="en">Holstein T. Studies of polaron motion: Part I. The molecular-crystal model. Annals of Physics, 1959, 8 (3), P. 325–342.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Rashba E. I. Self-trapping of excitons. Excitons, North-Holland, Amsterdam, 1982, P. 543–602.</mixed-citation><mixed-citation xml:lang="en">Rashba E. I. Self-trapping of excitons. Excitons, North-Holland, Amsterdam, 1982, P. 543–602.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Pouthier V. Vibron phonon in a lattice of H-bonded peptide units: A criterion to discriminate between the weak and the strong coupling limit. J. Chem. Phys., 2010, 132 (3), 035106.</mixed-citation><mixed-citation xml:lang="en">Pouthier V. Vibron phonon in a lattice of H-bonded peptide units: A criterion to discriminate between the weak and the strong coupling limit. J. Chem. Phys., 2010, 132 (3), 035106.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Brown D.W., Ivic Z. Unification of polaron and soliton theories of exciton transport. ´ Phys. Rev. B, 1989, 40 (14), P. 9876–9887.</mixed-citation><mixed-citation xml:lang="en">Brown D.W., Ivic Z. Unification of polaron and soliton theories of exciton transport. ´ Phys. Rev. B, 1989, 40 (14), P. 9876–9887.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Yarkony D., Silbey R. Comments on exciton phonon coupling: Temperature dependence. J. Chem. Phys., 1976, 65 (3), P. 1042–1052.</mixed-citation><mixed-citation xml:lang="en">Yarkony D., Silbey R. Comments on exciton phonon coupling: Temperature dependence. J. Chem. Phys., 1976, 65 (3), P. 1042–1052.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Cevizovi ˇ c D., Galovi ´ c S., Ivi ´ c Z. Nature of the vibron self-trapped states in hydrogen-bonded macromolecular chains. ´ Phys. Rev. E, 2011, 84 (1), 011920.</mixed-citation><mixed-citation xml:lang="en">Cevizovi ˇ c D., Galovi ´ c S., Ivi ´ c Z. Nature of the vibron self-trapped states in hydrogen-bonded macromolecular chains. ´ Phys. Rev. E, 2011, 84 (1), 011920.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Cevizovi ˇ c D., Galovi ´ c S., Reshetnyak A., Ivi ´ c Z. Vibron self-trapped states in biological macromolecules: Comparison of different ´ theoretical approaches. J. Phys.: Conf. Ser., 2012, 393 (1), 012033.</mixed-citation><mixed-citation xml:lang="en">Cevizovi ˇ c D., Galovi ´ c S., Reshetnyak A., Ivi ´ c Z. Vibron self-trapped states in biological macromolecules: Comparison of different ´ theoretical approaches. J. Phys.: Conf. Ser., 2012, 393 (1), 012033.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Garret G. A., Rojo A. G., Sood A. K., Whitaker J. F., Merlin R. Vacuum squeezing of solids: Macroscopic quantum states driven by light pulses. Science, 1997, 275 (5306), P. 1638–1640.</mixed-citation><mixed-citation xml:lang="en">Garret G. A., Rojo A. G., Sood A. K., Whitaker J. F., Merlin R. Vacuum squeezing of solids: Macroscopic quantum states driven by light pulses. Science, 1997, 275 (5306), P. 1638–1640.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Beaud P. et al. Spatiotemporal stability of a femtosecond hard-X-ray undulator source studied by control of coherent optical phonons. Phys. Rev. Lett., 2007, 99 (17), 174801.</mixed-citation><mixed-citation xml:lang="en">Beaud P. et al. Spatiotemporal stability of a femtosecond hard-X-ray undulator source studied by control of coherent optical phonons. Phys. Rev. Lett., 2007, 99 (17), 174801.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Johnson S. L. et al. Directly observing squeezed phonon states with femtosecond X-ray diffraction. Phys. Rev. Lett., 2009, 102 (17), 175503.</mixed-citation><mixed-citation xml:lang="en">Johnson S. L. et al. Directly observing squeezed phonon states with femtosecond X-ray diffraction. Phys. Rev. Lett., 2009, 102 (17), 175503.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Nazmitdinov R. G., Chizhov A. V. Effect of compressed light on pumping of a crystal. Pis’ma v ZhETF, 1990, 52 (7), P. 993–996.</mixed-citation><mixed-citation xml:lang="en">Nazmitdinov R. G., Chizhov A. V. Effect of compressed light on pumping of a crystal. Pis’ma v ZhETF, 1990, 52 (7), P. 993–996.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Artoni M., Birman J. L. Non-classical states in solids and detection. Opt. Commun., 1994, 104 (4–6), P. 319–324.</mixed-citation><mixed-citation xml:lang="en">Artoni M., Birman J. L. Non-classical states in solids and detection. Opt. Commun., 1994, 104 (4–6), P. 319–324.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Hu X., Nori F. Quantum phonon optics: Coherent and squeezed atomic displacements. Phys. Rev. B, 1996, 53 (5), P. 2419–2424.</mixed-citation><mixed-citation xml:lang="en">Hu X., Nori F. Quantum phonon optics: Coherent and squeezed atomic displacements. Phys. Rev. B, 1996, 53 (5), P. 2419–2424.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Lang I. G., Firsov Yu. A. Kinetic theory of semiconductors with low mobility. ZhETF, 1962, 43 (5/11), P. 1843–1860.</mixed-citation><mixed-citation xml:lang="en">Lang I. G., Firsov Yu. A. Kinetic theory of semiconductors with low mobility. ZhETF, 1962, 43 (5/11), P. 1843–1860.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Misochko O. V., Hu J., Nakamura K. G. Controlling phonon squeezing and correlation via one- and two-phonon interference. Phys. Lett. A, 2011, 375 (46), P. 4141–4146.</mixed-citation><mixed-citation xml:lang="en">Misochko O. V., Hu J., Nakamura K. G. Controlling phonon squeezing and correlation via one- and two-phonon interference. Phys. Lett. A, 2011, 375 (46), P. 4141–4146.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Loudon R., Knight P. L. Squeezed light. J. Mod. Opt., 1987, 34 (6–7), P. 709–759.</mixed-citation><mixed-citation xml:lang="en">Loudon R., Knight P. L. Squeezed light. J. Mod. Opt., 1987, 34 (6–7), P. 709–759.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
