2019
DOI: 10.1088/1367-2630/ab0a81
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Critical slowdown of non-equilibrium polaron dynamics

Abstract: We study the quantum dynamics of a single impurity following its sudden immersion into a Bose-Einstein condensate. The ensuing formation of the Bose polaron in this general setting can be seen as impurity decoherence driven by the condensate, which we describe within a master equation approach. We derive rigorous analytical results for this decoherence dynamics, and thereby reveal distinct stages of its evolution from a universal stretched exponential initial relaxation to the final approach to equilibrium. Th… Show more

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Cited by 59 publications
(91 citation statements)
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References 53 publications
(114 reference statements)
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“…figure 6(f) at t=15). We should also remark that a similar overall dynamical behavior on the single-particle level has been reported in the case of a single spinor impurity and has been also related to an enhanced energy transfer from the impurity to the bosonic bath [35,68,69,75]. Such an energy transfer process takes place also in the present case (results not shown here).…”
Section: Density Evolution and Effective Potentialsupporting
confidence: 88%
“…figure 6(f) at t=15). We should also remark that a similar overall dynamical behavior on the single-particle level has been reported in the case of a single spinor impurity and has been also related to an enhanced energy transfer from the impurity to the bosonic bath [35,68,69,75]. Such an energy transfer process takes place also in the present case (results not shown here).…”
Section: Density Evolution and Effective Potentialsupporting
confidence: 88%
“…Similar energy exchange processes between the impurity and the host atoms have already been observed e.g. in [24,64]. Deeper in the evolution, t>100, all energy components acquire an almost constant value with E B (t)<E BI (t)<E I (t).…”
Section: Interspecies Energy Transfersupporting
confidence: 70%
“…0<t<5, the energy of the bath E B (t) and the impurity E I (t) increase whilst the interaction energy E BI (t) reduces. The increasing behavior of E I (t) indicates that the impurity gains kinetic energy due to the quench transferring also a part of its energy to the bosonic gas [24,64] which creates sound waves, see also figure 7(f). For later evolution times E I (t) remains almost constant since the impurity is strongly localized while E B (t) and E BI (t) fluctuate due to the existence of sound waves in the BEC background [67].…”
Section: Interspecies Energy Exchangementioning
confidence: 98%
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“…In the future, it would be definitely interesting to better understand the applicability and validity of our strategy to describe the dynamics at nonzero temperature of systems involving an impurity in a thermal bath. This would have relevant applications in current research on impurity physics with atomic quantum gases, e.g., in order to better understand the role of finite-temperature effects on the polaron formation, especially in view of its coherence properties, which are typically analyzed in the framework of the (Markovian) quantum master equation formalism [43,92].…”
Section: Discussionmentioning
confidence: 99%