Pattern formation in one-dimensional polaron systems and temporal
orthogonality catastrophe
- URL: http://arxiv.org/abs/2110.11165v1
- Date: Thu, 21 Oct 2021 14:20:12 GMT
- Title: Pattern formation in one-dimensional polaron systems and temporal
orthogonality catastrophe
- Authors: G. M. Koutentakis, S. I. Mistakidis, P. Schmelcher
- Abstract summary: 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.
We employ the so-called Gross Ansatz approach to unravel the stationary and dynamical properties of the homogeneous one-dimensional Bose-polaron.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: 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.
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