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Quantifying fermionic interactions from the violation of Wick's theorem
Quantum Physics · Submitted 9 Mar 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our work provides the means to quantify the effect of interactions in physical systems though measurable quantum correlations.
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The abstract, sentence by sentence
In contrast to interacting systems, the ground state of free systems has a highly ordered pattern of quantum correlations, as witnessed by Wick's decomposition. Here, we quantify the effect of interactions by measuring the violation they cause on Wick's decomposition. In particular, we express this violation in terms of the low entanglement spectrum of fermionic systems. Moreover, we establish a relation between the Wick's theorem violation and the interaction distance, the smallest distance between the reduced density matrix of the system and that of the optimal free model closest to the interacting one. Our work provides the means to quantify the effect of interactions in physical systems though measurable quantum correlations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In contrast to interacting systems, the ground state of free systems has a highly ordered pattern of quantum correlations, as witnessed by Wick's decomposition. | background 1.00 | 0.06 | 0.04 | asserted 1.00 |
| s1 | Here, we quantify the effect of interactions by measuring the violation they cause on Wick's decomposition. | contribution 0.92 | 0.95 | 0.23 | asserted 1.00 |
| s2 | In particular, we express this violation in terms of the low entanglement spectrum of fermionic systems. | method 0.51 | 0.93 | 0.12 | asserted 1.00 |
| s3 | Moreover, we establish a relation between the Wick's theorem violation and the interaction distance, the smallest distance between the reduced density matrix of the system and that of the optimal free model closest to the interacting one. | result 0.83 | 0.92 | 0.27 | asserted 1.00 |
| s4 | Our work provides the means to quantify the effect of interactions in physical systems though measurable quantum correlations. | interpretation 0.55 | 0.86 | 0.76 | asserted 0.99 |
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Original abstract
In contrast to interacting systems, the ground state of free systems has a highly ordered pattern of quantum correlations, as witnessed by Wick's decomposition. Here, we quantify the effect of interactions by measuring the violation they cause on Wick's decomposition. In particular, we express this violation in terms of the low entanglement spectrum of fermionic systems. Moreover, we establish a relation between the Wick's theorem violation and the interaction distance, the smallest distance between the reduced density matrix of the system and that of the optimal free model closest to the interacting one. Our work provides the means to quantify the effect of interactions in physical systems though measurable quantum correlations.
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