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Breakdown of the Meissner effect at the zero exceptional point in non-Hermitian two-band BCS model
Quantum Gases · Submitted 21 Nov 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that analog to the Higgs mechanism, the Meissner effect of the complex Ginzburg-Landau model also breaks down at the exceptional point while the gap parameters stay finite.
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The abstract, sentence by sentence
The spontaneous symmetry breaking of a continuous symmetry in complex field theory at the exceptional point of the parameter space is known to exhibit interesting phenomena, such as the breakdown of a Higgs mechanism. In this work, we derive the complex Ginzburg-Landau model from a non-Hermitian two-band BCS model via path integral and investigate its spontaneous symmetry breaking. We find that analog to the Higgs mechanism, the Meissner effect of the complex Ginzburg-Landau model also breaks down at the exceptional point while the gap parameters stay finite.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The spontaneous symmetry breaking of a continuous symmetry in complex field theory at the exceptional point of the parameter space is known to exhibit interesting phenomena, such as the breakdown of a Higgs mechanism. | background 1.00 | 0.03 | 0.04 | asserted 1.00 |
| s1 | In this work, we derive the complex Ginzburg-Landau model from a non-Hermitian two-band BCS model via path integral and investigate its spontaneous symmetry breaking. | method 0.69 | 0.97 | 0.05 | asserted 0.99 |
| s2 | We find that analog to the Higgs mechanism, the Meissner effect of the complex Ginzburg-Landau model also breaks down at the exceptional point while the gap parameters stay finite. | result 1.00 | 0.96 | 0.92 | asserted 1.00 |
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The paper
Original abstract
The spontaneous symmetry breaking of a continuous symmetry in complex field theory at the exceptional point of the parameter space is known to exhibit interesting phenomena, such as the breakdown of a Higgs mechanism. In this work, we derive the complex Ginzburg-Landau model from a non-Hermitian two-band BCS model via path integral and investigate its spontaneous symmetry breaking. We find that analog to the Higgs mechanism, the Meissner effect of the complex Ginzburg-Landau model also breaks down at the exceptional point while the gap parameters stay finite.
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What it cites · 5 sentences without a confident label
Cites as background 2 papers
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Furthermore, a small body of work has investigated the Meissner effect in ultra-cold atoms [ref] .
Observation of the Meissner effect with ultracold atoms in bosonic ladders · Many-body Hamiltonian · 0.95
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As a supplementary observation, we mention that the non-Hermitian effective Hamiltonian $H_NH [a^†_2,a_2]$ could also be manifested as an effective theory of an ultra-cold atomic gas [ref] with recent experimental progress [ref] .
Weakly interacting Bose gas with two-body losses · Many-body Hamiltonian · 0.81
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