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Quantum dynamics of impurities coupled to a Fermi sea
Quantum Gases · Submitted 2 Aug 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim When the system is initially non-interacting, we show that our method exactly captures the short-time dynamics following the quench, and we find that the overlap between initial and final states displays a universal non-analytic dependence on time in this limit.
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The abstract, sentence by sentence
We consider the dynamics of an impurity atom immersed in an ideal Fermi gas at zero temperature. We focus on the coherent quantum evolution of the impurity following a quench to strong impurity-fermion interactions, where the interactions are assumed to be short range like in cold-atom experiments. To approximately model the many-body time evolution, we use a truncated basis method, where at most two particle-hole excitations of the Fermi sea are included. When the system is initially non-interacting, we show that our method exactly captures the short-time dynamics following the quench, and we find that the overlap between initial and final states displays a universal non-analytic dependence on time in this limit. We further demonstrate how our method can be used to compute the impurity spectral function, as well as describe many-body phenomena involving coupled impurity spin states, such as Rabi oscillations in a medium or highly engineered quantum quenches.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider the dynamics of an impurity atom immersed in an ideal Fermi gas at zero temperature. | background 0.73 | 0.47 | 0.03 | asserted 0.72 |
| s1 | We focus on the coherent quantum evolution of the impurity following a quench to strong impurity-fermion interactions, where the interactions are assumed to be short range like in cold-atom experiments. | contribution 0.82 | 0.47 | 0.06 | asserted 0.90 |
| s2 | To approximately model the many-body time evolution, we use a truncated basis method, where at most two particle-hole excitations of the Fermi sea are included. | method 1.00 | 0.93 | 0.04 | asserted 0.98 |
| s3 | When the system is initially non-interacting, we show that our method exactly captures the short-time dynamics following the quench, and we find that the overlap between initial and final states displays a universal non-analytic dependence on time in this limit. | result 1.00 | 0.96 | 0.35 | asserted 1.00 |
| s4 | We further demonstrate how our method can be used to compute the impurity spectral function, as well as describe many-body phenomena involving coupled impurity spin states, such as Rabi oscillations in a medium or highly engineered quantum quenches. | contribution 0.89 | 0.91 | 0.15 | asserted 1.00 |
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The paper
Original abstract
We consider the dynamics of an impurity atom immersed in an ideal Fermi gas at zero temperature. We focus on the coherent quantum evolution of the impurity following a quench to strong impurity-fermion interactions, where the interactions are assumed to be short range like in cold-atom experiments. To approximately model the many-body time evolution, we use a truncated basis method, where at most two particle-hole excitations of the Fermi sea are included. When the system is initially non-interacting, we show that our method exactly captures the short-time dynamics following the quench, and we find that the overlap between initial and final states displays a universal non-analytic dependence on time in this limit. We further demonstrate how our method can be used to compute the impurity spectral function, as well as describe many-body phenomena involving coupled impurity spin states, such as Rabi oscillations in a medium or highly engineered quantum quenches.
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How the literature uses it
2 arXiv papers cite this in 5 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 1 paper
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The positive energy peak on the molecule side, see Fig. [ref], is usually interpreted in the context of the repulsive polaron state [ref] .
Dark Continuum in the Spectral Function of the Resonant Fermi Polaron · Introduction · 0.89
What it cites · 11 sentences without a confident label
Cites as background 1 paper
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Theoretically, it has previously been treated within the renormalization group [ref] , in diagrammatic Monte Carlo [ref] , and within a T matrix approach [ref] .
Dark Continuum in the Spectral Function of the Resonant Fermi Polaron · Spectral function · 0.98
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