Signatures of the orthogonality catastrophe in a coherently driven impurity

Adlong, Haydn S.; Liu, Weizhe Edward; Turner, Lincoln D.; Parish, Meera M.; Levinsen, Jesper

doi:10.1103/physreva.104.043309

Cited by 4 publications

(4 citation statements)

References 51 publications

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“…This approach is particularly useful for a mobile impurity, whose recoil energy suppresses multiple particle-hole excitations near the Fermi surface of the many-body environment. Our results are therefore complement to the two earlier studies [22,25], which considered the heavy impurity limit using either a spinmodel with an Ohmic bath [22] or the functional determinant approach [25].…”

Section: Introductionsupporting

confidence: 73%

“…According to the recent experiments on dissipative Rabi dynamics [12,14,16], we consider a spin-1/2 impurity of mass m I that has two hyperfine energy levels (i.e., σ =↑, ↓), described by the single-particle model Hamiltonian [22,25],…”

Section: A the Model Hamiltonianmentioning

confidence: 99%

“…For the case of a 2 = 0, it is useful to contrast our T -matrix result Eq. ( 21) with another approximated im- purity Green function [16,25],…”

Section: A Self-energymentioning

confidence: 99%

“…In this work, we investigate in detail the Fermi spin polaron with a mobile spinor impurity, with the purpose of better understanding the Rabi dynamics of Fermi polarons. We are specifically interested in the dependence of quasiparticle properties of Fermi spin polarons on the Rabi coupling strength, which is less considered in earlier theoretical analyses on dissipative Rabi dynamics [22,25,36] (see Ref. [24] for an exception).…”

Section: Introductionmentioning

confidence: 99%

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Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics

Hu¹,

Liu²

2022

Preprint

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We consider a spin impurity with multiple energy levels moving in a non-interacting Fermi sea, and theoretically solve this Fermi spin polaron problem at nonzero temperature by using a nonself-consistent many-body T -matrix theory. We focus on the simplest case with spin half, where the two energy states of the impurity are coupled by a Rabi flip term. At small Rabi coupling, the impurity exhibits damped Rabi oscillations, where the decoherence is caused by the interaction with the Fermi sea, as recently reported in Fermi polaron experiments with ultracold atoms. We investigate the dependence of Rabi oscillations on the Rabi coupling strength and examine the additional nonlinear damping due to large Rabi coupling. At finite temperature and at nonzero impurity concentration, the impurity can acquire a pronounced momentum distribution. We show that the momentum/thermal average can sizably reduce the visibility of Rabi oscillations. We compare our theoretical predictions to the recent experimental data and find a good agreement without any adjustable parameter.

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Section: Introductionsupporting

confidence: 73%

Section: A the Model Hamiltonianmentioning

confidence: 99%

“…For the case of a 2 = 0, it is useful to contrast our T -matrix result Eq. ( 21) with another approximated im- purity Green function [16,25],…”

Section: A Self-energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics

Hu¹,

Liu²

2022

Preprint

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Functional determinant approach investigations of heavy impurity physics

Wang

2023

AAPPS Bull.

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In this brief review, we report some new development in the functional determinant approach (FDA), an exact numerical method, in the studies of a heavy quantum impurity immersed in Fermi gases and manipulated with radio-frequency pulses. FDA has been successfully applied to investigate the universal dynamical responses of a heavy impurity in an ultracold ideal Fermi gas in both the time and frequency domain, which allows the exploration of the renowned Anderson’s orthogonality catastrophe (OC). In such a system, OC is induced by the multiple particle-hole excitations of the Fermi sea, which is beyond a simple perturbation picture and manifests itself as the absence of quasiparticles named polarons. More recently, two new directions for studying heavy impurity with FDA have been developed. One is to extend FDA to a strongly correlated background superfluid background, a Bardeen–Cooper–Schrieffer (BCS) superfluid. In this system, Anderson’s orthogonality catastrophe is prohibited due to the suppression of multiple particle-hole excitations by the superfluid gap, which leads to the existence of genuine polaron. The other direction is to generalize the FDA to the case of multiple RF pulses scheme, which extends the well-established 1D Ramsey spectroscopy in ultracold atoms into multidimensional, in the same spirit as the well-known multidimensional nuclear magnetic resonance and optical multidimensional coherent spectroscopy. Multidimensional Ramsey spectroscopy allows us to investigate correlations between spectral peaks of an impurity-medium system that is not accessible in the conventional one-dimensional spectrum.

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Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics

Hu,

Liu

2023

Phys. Rev. A

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Signatures of the orthogonality catastrophe in a coherently driven impurity

Cited by 4 publications

References 51 publications

Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics

Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics

Functional determinant approach investigations of heavy impurity physics

Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics

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