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Transition from spontaneous to explicit symmetry breaking in a finite-sized system : Bosonic bound states of an impurity

Chergui, L. LU ; Brauneis, F. ; Cardinale, T. Arnone LU orcid ; Schubert, M. LU orcid ; Volosniev, A. G. and Reimann, S. M. LU (2025) In Physical Review A 111(5).
Abstract

The presence of a single attractive impurity in an ultracold repulsive bosonic system can drive a transition from a homogeneous to a localized state, as we here show for a one-dimensional ring system. In the few-body limit, the localization of the bosons around the impurity, as seen in the pair correlations, is accompanied by low-lying modes that resemble finite-sized precursors of Higgs-Anderson- and Nambu-Goldstone-like modes. Tuning the impurity-boson mass ratio allows for the exploration of the transition from a spontaneous to an explicit breaking of the continuous rotational symmetry of the Hamiltonian. We compare the minimum of the Higgs-Anderson-like mode as a marker of the onset of localization in the few-body limit to... (More)

The presence of a single attractive impurity in an ultracold repulsive bosonic system can drive a transition from a homogeneous to a localized state, as we here show for a one-dimensional ring system. In the few-body limit, the localization of the bosons around the impurity, as seen in the pair correlations, is accompanied by low-lying modes that resemble finite-sized precursors of Higgs-Anderson- and Nambu-Goldstone-like modes. Tuning the impurity-boson mass ratio allows for the exploration of the transition from a spontaneous to an explicit breaking of the continuous rotational symmetry of the Hamiltonian. We compare the minimum of the Higgs-Anderson-like mode as a marker of the onset of localization in the few-body limit to mean-field predictions of binding. We find improved agreement between the few-body exact-diagonalization results and mean-field predictions of binding with increasing boson-boson repulsion.

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author
; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A
volume
111
issue
5
article number
053307
publisher
American Physical Society
external identifiers
  • scopus:105005159004
ISSN
2469-9926
DOI
10.1103/PhysRevA.111.053307
language
English
LU publication?
yes
id
9faec148-47f4-4820-afc3-a9236148cffb
date added to LUP
2025-08-04 10:00:07
date last changed
2025-10-14 12:40:32
@article{9faec148-47f4-4820-afc3-a9236148cffb,
  abstract     = {{<p>The presence of a single attractive impurity in an ultracold repulsive bosonic system can drive a transition from a homogeneous to a localized state, as we here show for a one-dimensional ring system. In the few-body limit, the localization of the bosons around the impurity, as seen in the pair correlations, is accompanied by low-lying modes that resemble finite-sized precursors of Higgs-Anderson- and Nambu-Goldstone-like modes. Tuning the impurity-boson mass ratio allows for the exploration of the transition from a spontaneous to an explicit breaking of the continuous rotational symmetry of the Hamiltonian. We compare the minimum of the Higgs-Anderson-like mode as a marker of the onset of localization in the few-body limit to mean-field predictions of binding. We find improved agreement between the few-body exact-diagonalization results and mean-field predictions of binding with increasing boson-boson repulsion.</p>}},
  author       = {{Chergui, L. and Brauneis, F. and Cardinale, T. Arnone and Schubert, M. and Volosniev, A. G. and Reimann, S. M.}},
  issn         = {{2469-9926}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review A}},
  title        = {{Transition from spontaneous to explicit symmetry breaking in a finite-sized system : Bosonic bound states of an impurity}},
  url          = {{http://dx.doi.org/10.1103/PhysRevA.111.053307}},
  doi          = {{10.1103/PhysRevA.111.053307}},
  volume       = {{111}},
  year         = {{2025}},
}