Regarding the relation between the photon-roton spectrum and the single-particle excitation spectrum in liquids with Bose-Einstein condensate

Based on the results of statistical quantum electrodynamics, it is shown that the Coulomb interaction potential of charged particles has no Fourier components at a zero wave vector. This result provides for the possibility of using the grand canonical ensemble to describe the Coulomb system, with independent descriptions of different varieties of charged particles. Based on this, we established that there could be an energy gap in the single-particle excitation spectrum at low pulses, given the presence of Bose-Einstein condensate in the Coulomb system, which does not contradict the existence of collective excitations, characterized by the phonon-roton spectrum.

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Coulomb interaction potential and Bose-Einstein condensate

Бобров

Zagorodny

Trigger

2015

Low Temperature Physics

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Another approach for obtaining the excitation spectra in degenerate Bose gases with delta-shaped interaction potentials

Бобров

Zagorodny

Trigger

2017

Low Temperature Physics

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A formalism is proposed for describing an equilibrium Bose gas based on consideration of a macroscopic but finite volume. The presence of a Bose-Einstein condensate is taken into account through an off-diagonal long-range order in the transition to the thermodynamic limit. On this basis, degenerate Bose gases with delta-shaped interaction potentials are described in terms of a self-consistent Hartree-Fock approximation. Explicit expressions are obtained for the energy spectra of single-particle and collective excitations.

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On a model of a Josephson junction with a single quantum channel featuring a “deformed” Andreev reflection coefficient

Sergeyev,

Shunkeyev,

Solovjov

2024

Low Temperature Physics

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This paper presents calculations of the current-voltage, dI/dV- and d2I/dV2-characteristics for a Josephson junction with a short one-dimensional channel, taking into account a “deformed” (anomalous) energy-dependent Andreev reflection function. Depending on the degree of deviation from the classical Andreev reflection coefficient, the “anomalous” functions are conditionally divided into weakly and strongly deformed coefficients. The excess Andreev current decrease is demonstrated with increasing anomaly factor due to the low probability of multiple Andreev reflections compared to the classical case. It has been shown that anomalous fractional (fractal) gap structures arise in the spectra, which require experimental verification. The analysis shows that on the spectrum of modified dynamic conductivity, when considering the anomalous function of Andreev reflections, the second Andreev feature becomes more pronounced as a minimum and the first feature manifests as a notable kink, which is absent in the classical dependencies for cases of high transparency obtained within the Averin–Bardas model. In the anomalous mode, the Andreev features appear as “dips” in the relatively high-energy region, which have also been detected in the Josephson junction spectra, indicating the possibility of generating high-frequency phonons.

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Regarding the relation between the photon-roton spectrum and the single-particle excitation spectrum in liquids with Bose-Einstein condensate

Cited by 4 publications

References 46 publications

Coulomb interaction potential and Bose-Einstein condensate

Coulomb interaction potential and Bose-Einstein condensate

Another approach for obtaining the excitation spectra in degenerate Bose gases with delta-shaped interaction potentials

On a model of a Josephson junction with a single quantum channel featuring a “deformed” Andreev reflection coefficient

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