Quantum diffusion of muons and muonium atoms in solids

Storchak, Vyacheslav G.; Prokof’ev, Nikolay

doi:10.1103/revmodphys.70.929

Cited by 90 publications

(70 citation statements)

References 170 publications

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“…Moreover, at strong coupling there is an additional transition of the attractive polaron into a bound molecular state [34]. We will only discuss the regime of weak impurityBose interactions which satisfy the condition (6) and are captured by our Fröhlich model (3), (4), with parameters (5).…”

Section: Polaron Ground State In Becmentioning

confidence: 99%

“…Our treatment of the impurity-BEC system ignores the phenomenology of strong-coupling physics, e.g., near a Feshbach resonance [34], which lies beyond the parameter range (6). The model (3), (4), with parameters (5), in its regime of validity, constitutes a generalized Fröhlich model of polarons in ultracold BECs [29][30][31][32].…”

Section: Microscopic Modelmentioning

confidence: 99%

“…This ubiquitous problem naturally arises in a wide variety of physical situations including electronphonon interactions [3], the propagation of muons in a solid [6], transport in organic transistors [7], the physics of giant magnetoresistance materials [8], and high-T C cuprates [9]. Recently, in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Radio-frequency spectroscopy of polarons in ultracold Bose gases

Shashi¹,

Grusdt²,

Abanin³

et al. 2014

Phys. Rev. A

108

182

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Recent experimental advances enabled the realization of mobile impurities immersed in a Bose-Einstein condensate (BEC) of ultracold atoms. Here, we consider impurities with two or more internal hyperfine states, and study their radio-frequency (rf) absorption spectra, which correspond to transitions between two different hyperfine states. We calculate rf spectra for the case when one of the hyperfine states involved interacts with the BEC, while the other state is noninteracting, by performing a nonperturbative resummation of the probabilities of exciting different numbers of phonon modes. In the presence of interactions, the impurity gets dressed by Bogoliubov excitations of the BEC, and forms a polaron. The rf signal contains a δ-function peak centered at the energy of the polaron measured relative to the bare impurity transition frequency with a weight equal to the amount of bare impurity character in the polaron state. The rf spectrum also has a broad incoherent part arising from the background excitations of the BEC, with a characteristic power-law tail that appears as a consequence of the universal physics of contact interactions. We discuss both the direct rf measurement, in which the impurity is initially in an interacting state, and the inverse rf measurement, in which the impurity is initially in a noninteracting state. In the latter case, in order to calculate the rf spectrum, we solve the problem of polaron formation: a mobile impurity is suddenly introduced in a BEC, and dynamically gets dressed by Bogoliubov phonons. Our solution is based on a time-dependent variational ansatz of coherent states of Bogoliubov phonons, which becomes exact when the impurity is localized. Moreover, we show that such an ansatz compares well with a semiclassical estimate of the propagation amplitude of a mobile impurity in the BEC. Our technique can be extended to cases when both initial and final impurity states are interacting with the BEC.

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Section: Polaron Ground State In Becmentioning

confidence: 99%

Section: Microscopic Modelmentioning

confidence: 99%

See 1 more Smart Citation

Radio-frequency spectroscopy of polarons in ultracold Bose gases

Shashi¹,

Grusdt²,

Abanin³

et al. 2014

Phys. Rev. A

108

182

View full text Add to dashboard Cite

show abstract

“…Although the concept of localization by disorder has been introduced primarily in order to describe the electronic transport properties of condensed matter, it may also be applied to the quantum dynamics of heavier particles, whether charged or neutral [5,1]. Recent experimental results for positive muons as well as for muonium atoms clearly indicated that interaction with crystal excitations and crystal disorder dramatically changes the nature of tunneling dynamics for particles~200 times heavier than the electron.…”

Section: Introductionmentioning

confidence: 99%

“…This happens in insulators and semiconductors, while in metals we deal with the «bare» muon. Because of the unique mass of the muon one can hardly mention any other example where quantum diffusion was observed in such a wide temperature range as for m + and Mu [1]. The other reason for the success of the quantum diffusion study using muons is the sensitivity of the muon spin relaxation (mSR) techniques (see e.g.…”

Section: Introductionmentioning

confidence: 99%