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Casimir Effect in Josephson Junctions.

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Title: Casimir Effect in Josephson Junctions.
Authors: Levchenko, Alex1 (AUTHOR) levchenko@physics.wisc.edu
Source: Journal of Low Temperature Physics. Feb2025, Vol. 218 Issue 3/4, p268-283. 16p.
Subjects: Josephson effect, Energy levels (Quantum mechanics), Josephson junctions, Andreev reflection, Quantum electrodynamics
Abstract: In a Josephson junction, the supercurrent is determined by both the discrete sub-gap part of the spectrum due to Andreev bound states and the continuous part of the spectrum from energy states outside the superconducting gap. We consider the cohesive force exerted on a junction, which is thermodynamically conjugated to the superflow, and comment on its connection to the Casimir effect in quantum electrodynamics. In contrast to the supercurrent, it is shown that in ballistic short junctions, the force is predominantly contributed by the continuum. Its magnitude is universally defined by the energy gap and coherence length of the superconductor per spin-dependent transverse mode. This force scales non-analytically with the junction length and is periodic with the superconducting phase. For long ballistic junctions, the force results from the interplay of oscillatory contributions originating from both bound states and the continuum. The resulting asymptotic limit for the force is established, including the correction terms. Thermal and impurity effects on the force are briefly discussed. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Low Temperature Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Low+Temperature+Physics%22">Journal of Low Temperature Physics</searchLink>. Feb2025, Vol. 218 Issue 3/4, p268-283. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Josephson+effect%22">Josephson effect</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+levels+%28Quantum+mechanics%29%22">Energy levels (Quantum mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Josephson+junctions%22">Josephson junctions</searchLink><br /><searchLink fieldCode="DE" term="%22Andreev+reflection%22">Andreev reflection</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+electrodynamics%22">Quantum electrodynamics</searchLink>
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  Data: In a Josephson junction, the supercurrent is determined by both the discrete sub-gap part of the spectrum due to Andreev bound states and the continuous part of the spectrum from energy states outside the superconducting gap. We consider the cohesive force exerted on a junction, which is thermodynamically conjugated to the superflow, and comment on its connection to the Casimir effect in quantum electrodynamics. In contrast to the supercurrent, it is shown that in ballistic short junctions, the force is predominantly contributed by the continuum. Its magnitude is universally defined by the energy gap and coherence length of the superconductor per spin-dependent transverse mode. This force scales non-analytically with the junction length and is periodic with the superconducting phase. For long ballistic junctions, the force results from the interplay of oscillatory contributions originating from both bound states and the continuum. The resulting asymptotic limit for the force is established, including the correction terms. Thermal and impurity effects on the force are briefly discussed. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Low Temperature Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10909-024-03254-3
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      – Code: eng
        Text: English
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        StartPage: 268
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      – SubjectFull: Josephson effect
        Type: general
      – SubjectFull: Energy levels (Quantum mechanics)
        Type: general
      – SubjectFull: Josephson junctions
        Type: general
      – SubjectFull: Andreev reflection
        Type: general
      – SubjectFull: Quantum electrodynamics
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      – TitleFull: Casimir Effect in Josephson Junctions.
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              Text: Feb2025
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