Nonadiabatic transitions during a passage near a critical point
The passage through a critical point of a many-body quantum system leads to abundant nonadiabatic excitations. Here, we explore a regime, in which the critical point is not crossed although the system is passing slowly very close to it. We show that the leading exponent for the excitation probabilit...
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| Veröffentlicht in: | The Journal of chemical physics 2024-02, Vol.160 (7) |
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| creator | Sinitsyn, Nikolai A. Sadhasivam, Vijay Ganesh Suzuki, Fumika |
| description | The passage through a critical point of a many-body quantum system leads to abundant nonadiabatic excitations. Here, we explore a regime, in which the critical point is not crossed although the system is passing slowly very close to it. We show that the leading exponent for the excitation probability can then be obtained by standard arguments of the Dykhne formula, but the exponential prefactor is no longer simple and behaves as a power law on the characteristic transition rate. We derive this prefactor for the nonlinear Landau–Zener model by adjusting Dykhne’s approach. Then, we introduce an exactly solvable model of the transition near a critical point in the Stark ladder. We derive the number of excitations for it without approximations and find qualitatively similar results for the excitation scaling. |
| doi_str_mv | 10.1063/5.0191933 |
| format | Article |
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Office of Science, Advanced Scientific Computing Research (ASCR)</creatorcontrib><creatorcontrib>Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)</creatorcontrib><collection>AIP Open Access Journals</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>The Journal of chemical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sinitsyn, Nikolai A.</au><au>Sadhasivam, Vijay Ganesh</au><au>Suzuki, Fumika</au><aucorp>US Department of Energy (USDOE), Washington, DC (United States). Office of Science, Advanced Scientific Computing Research (ASCR)</aucorp><aucorp>Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonadiabatic transitions during a passage near a critical point</atitle><jtitle>The Journal of chemical physics</jtitle><addtitle>J Chem Phys</addtitle><date>2024-02-21</date><risdate>2024</risdate><volume>160</volume><issue>7</issue><issn>0021-9606</issn><eissn>1089-7690</eissn><coden>JCPSA6</coden><abstract>The passage through a critical point of a many-body quantum system leads to abundant nonadiabatic excitations. Here, we explore a regime, in which the critical point is not crossed although the system is passing slowly very close to it. 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| subjects | adiabatic theorem Bose-Einstein condensate Critical point Excitation ferromagnetism INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY phase transitions quantum phase transition Quantum theory |
| title | Nonadiabatic transitions during a passage near a critical point |
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