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One-Dimensional Disordered Bosonic Systems
 
 
Article

Pattern Formation in One-Dimensional Polaron Systems and Temporal Orthogonality Catastrophe

1
Center for Optical Quantum Technologies, Department of Physics, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
2
The Hamburg Centre for Ultrafast Imaging, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
3
ITAMP, Center for Astrophysics|Harvard & Smithsonian, Cambridge, MA 02138, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Manuel Bautista
Received: 21 October 2021 / Revised: 20 December 2021 / Accepted: 23 December 2021 / Published: 28 December 2021
(This article belongs to the Special Issue Physics of Impurities in Quantum Gases)
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 one-dimensional Bose polaron. View Full-Text
Keywords: Bose polaron; pattern formation; temporal orthogonality catastrophe; Lee-Low-Pines transformation; mobile and immobile impurities Bose polaron; pattern formation; temporal orthogonality catastrophe; Lee-Low-Pines transformation; mobile and immobile impurities
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MDPI and ACS Style

Koutentakis, G.M.; Mistakidis, S.I.; Schmelcher, P. Pattern Formation in One-Dimensional Polaron Systems and Temporal Orthogonality Catastrophe. Atoms 2022, 10, 3. https://doi.org/10.3390/atoms10010003

AMA Style

Koutentakis GM, Mistakidis SI, Schmelcher P. Pattern Formation in One-Dimensional Polaron Systems and Temporal Orthogonality Catastrophe. Atoms. 2022; 10(1):3. https://doi.org/10.3390/atoms10010003

Chicago/Turabian Style

Koutentakis, Georgios M., Simeon I. Mistakidis, and Peter Schmelcher. 2022. "Pattern Formation in One-Dimensional Polaron Systems and Temporal Orthogonality Catastrophe" Atoms 10, no. 1: 3. https://doi.org/10.3390/atoms10010003

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