Transition from spontaneous to explicit symmetry breaking in a finite-sized system : Bosonic bound states of an impurity
(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.
(Less)
- author
- Chergui, L.
LU
; Brauneis, F.
; Cardinale, T. Arnone
LU
; Schubert, M. LU
; Volosniev, A. G. and Reimann, S. M. LU
- organization
- publishing date
- 2025-05
- 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
- 2025-08-04 10:01:05
@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}}, }