Pattern formation of correlated impurities subjected to an impurity-medium interaction pulse

Bougas, G.; Mistakidis, S. I.; Schmelcher, Peter

doi:10.1103/physreva.103.023313

Cited by 9 publications

(8 citation statements)

References 99 publications

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“…The dynamics of the Bose polaron has also been actively explored [64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81]. Among the many different facets of the polaron dynamics, here we will focus on the phenomenon of temporal orthogonality catastrophe [58,[77][78][79][80][81].…”

Section: Introductionmentioning

confidence: 99%

“…The latter occurs when an impurity is embedded into an adequately strongly repulsive Bose gas and is manifested by the rapid evolution of the system state towards a configuration orthogonal to the initial one, signifying the dynamical decay of the Bose polaron. In particular, the temporal orthogonality catastrophe has been extensively explored in the case of confined one-dimensional (1D) Bose gases, where an effective potential description, delineated by the bath density and impurity-medium coupling, has been found to be crucial for understanding the dynamical behavior of the system [70,74,75,[78][79][80][81][82][83]. This potential is speculated to be the origin of the temporal orthogonality catastrophe, leading to the question whether a similar mechanism appears in the homogeneous setting where the notion of the effective potential does not exist.…”

Section: Introductionmentioning

confidence: 99%

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Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

Koutentakis,

Mistakidis,

Schmelcher

2021

Preprint

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Recent studies have demonstrated that higher than two-body bath-impurity correlations are not important for quantitatively describing the ground state of the Bose polaron. Motivated by the above, we employ the so-called Gross Ansatz (GA) approach to unravel the stationary and dynamical properties of the homogeneous one-dimensional Bose-polaron for different impurity momenta and bath-impurity couplings. We explicate that the character of the equilibrium state crossovers from the quasi-particle Bose polaron regime to the collective-excitation stationary dark-bright soliton for varying impurity momentum and interactions. Following an interspecies interaction quench the temporal orthogonality catastrophe is identified, provided that bath-impurity interactions are sufficiently stronger than the intraspecies bath ones, thus generalizing the results of the confined case. This catastrophe originates from the formation of dispersive shock wave structures associated with the zero-range character of the bath-impurity potential. For initially moving impurities, a momentum transfer process from the impurity to the dispersive shock waves via the exerted drag force is demonstrated, resulting in a final polaronic state with reduced velocity. Our results clearly demonstrate the crucial role of non-linear excitations for determining the behavior of the onedimensional Bose polaron.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

Koutentakis,

Mistakidis,

Schmelcher

2021

Preprint

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“…Another relevant ingredient is the external trapping geometry that the two components experience. Indeed, for harmonically trapped and homogeneous systems remarkable dynamical features of impurity physics include the spontaneous generation of localized patterns [17,[37][38][39], inelastic collisional aspects of driven impurities [40][41][42] with the surrounding and their relaxation at long timescales [43][44][45]. On the other hand, when a lattice potential is introduced the situation becomes more complicated giving rise, among others, to doped insulator physics [46,47] and impurity transport [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Entangling Lattice-Trapped Bosons with a Free Impurity: Impact on Stationary and Dynamical Properties

Pyzh¹,

Keiler²,

Mistakidis³

et al. 2021

Entropy

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We address the interplay of few lattice trapped bosons interacting with an impurity atom in a box potential. For the ground state, a classification is performed based on the fidelity allowing to quantify the susceptibility of the composite system to structural changes due to the intercomponent coupling. We analyze the overall response at the many-body level and contrast it to the single-particle level. By inspecting different entropy measures we capture the degree of entanglement and intraspecies correlations for a wide range of intra- and intercomponent interactions and lattice depths. We also spatially resolve the imprint of the entanglement on the one- and two-body density distributions showcasing that it accelerates the phase separation process or acts against spatial localization for repulsive and attractive intercomponent interactions, respectively. The many-body effects on the tunneling dynamics of the individual components, resulting from their counterflow, are also discussed. The tunneling period of the impurity is very sensitive to the value of the impurity-medium coupling due to its effective dressing by the few-body medium. Our work provides implications for engineering localized structures in correlated impurity settings using species selective optical potentials.

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“…In the strongly attractive interaction regime, the formation of bipolarons referring to impurity bound states was also unraveled [36,37]. Beyond these studies the non-equilibrium dynamics of quasi-particles following an interaction quench [38][39][40] has been examined unveiling, in particular, energy redistribution processes, temporal orthogonality catastrophe phenomena and the effective temperature of the impurities [39] e.g. by emulating pump-probe and Ramsey spectroscopy.…”

Section: Introductionmentioning

confidence: 99%

Counterflow dynamics of two correlated impurities immersed in a bosonic gas

Theel,

Mistakidis,

Keiler

et al. 2021

Preprint

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The counterflow many-body dynamics of two impurities in a double-well coupled to an onedimensional bosonic medium is explored. We determine the ground state phase diagram of the system according to the impurity-medium entanglement and the impurities two-body correlations. Specifically, bound impurity structures reminiscent of bipolarons for strong attractive couplings as well as configurations with two clustered or separated impurities in the repulsive case are identified. The interval of existence of these phases depends strongly on the impurity-impurity interactions and external confinement of the medium. Accordingly the impurities dynamical response, triggered by ramping down the central potential barrier, is affected by the medium's trapping geometry. In particular, for a box-confined medium repulsive impurity-medium couplings lead, due to attractive induced interactions, to the localization of the impurities around the trap center. In contrast, for a harmonically trapped medium the impurities perform a periodic collision and expansion dynamics further interpreted in terms of a two-body effective model. Our findings elucidate the correlation aspects of the collisional physics of impurities which should be accessible in recent cold atom experiments.

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Pattern formation of correlated impurities subjected to an impurity-medium interaction pulse

Cited by 9 publications

References 99 publications

Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

Entangling Lattice-Trapped Bosons with a Free Impurity: Impact on Stationary and Dynamical Properties

Counterflow dynamics of two correlated impurities immersed in a bosonic gas

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