Only-phase Popov action: thermodynamic derivation and superconducting electrodynamics
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914899159941120 |
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| author | Salasnich, Luca Pelizzo, Maria Guglielmina Lorenzi, Francesco |
| author_facet | Salasnich, Luca Pelizzo, Maria Guglielmina Lorenzi, Francesco |
| contents | We provide a thermodynamic derivation of the only-phase Popov action functional, which is often adopted to study the low-energy effective hydrodynamics of a generic nonrelativistic superfluid. It is shown that the crucial assumption is the use of the saddle point approximation after neglecting the quantum-pressure term. As an application, we analyze charged superfluid (superconductors) coupled to the electromagnetic field at zero temperature. Our only-phase and minimally-coupled theory predicts the decay of the electrostatic field inside a superconductor with a characteristic length much smaller than the London penetration depth of the static magnetic field. This result is confirmed also by a relativistic only-phase Popov action we obtain from the Klein-Gordon Lagrangian. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_00528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Only-phase Popov action: thermodynamic derivation and superconducting electrodynamics Salasnich, Luca Pelizzo, Maria Guglielmina Lorenzi, Francesco Quantum Gases Superconductivity We provide a thermodynamic derivation of the only-phase Popov action functional, which is often adopted to study the low-energy effective hydrodynamics of a generic nonrelativistic superfluid. It is shown that the crucial assumption is the use of the saddle point approximation after neglecting the quantum-pressure term. As an application, we analyze charged superfluid (superconductors) coupled to the electromagnetic field at zero temperature. Our only-phase and minimally-coupled theory predicts the decay of the electrostatic field inside a superconductor with a characteristic length much smaller than the London penetration depth of the static magnetic field. This result is confirmed also by a relativistic only-phase Popov action we obtain from the Klein-Gordon Lagrangian. |
| title | Only-phase Popov action: thermodynamic derivation and superconducting electrodynamics |
| topic | Quantum Gases Superconductivity |
| url | https://arxiv.org/abs/2408.00528 |