A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms
Abstract The ground states of two-species condensates with spin-1 atoms have been studied analytically and numerically. All the results from the analytical approach are checked by the latter. The $$\lambda =1$$ channel has been neglected, where $$\lambda$$ is the coupled spin of two different atoms....
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-01-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-83865-8 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832585797597921280 |
|---|---|
| author | Yanzhang He Yimin Liu Chengguang Bao |
| author_facet | Yanzhang He Yimin Liu Chengguang Bao |
| author_sort | Yanzhang He |
| collection | DOAJ |
| description | Abstract The ground states of two-species condensates with spin-1 atoms have been studied analytically and numerically. All the results from the analytical approach are checked by the latter. The $$\lambda =1$$ channel has been neglected, where $$\lambda$$ is the coupled spin of two different atoms. A complete phase diagram has been plotted against the whole parameter space which has been divided into regions associated with different phases. All the boundaries separating the regions have been analytically obtained. Let p- denote the phase of a species in which all the atoms are two by two in singlet-pairs, f- denote that all the spins are lying along a common direction (fully polarized), and q- denote a mixture of the above two phases, namely, some singlet-pairs together with a fully polarized subsystem. Then, we found that the p-phase cannot coexist with the q- or f-phase (the p-f or f-p phase could exist only if the species in the f-phase is a few-body system). The q-q phase also does not exist. Thus, once a few atoms of a species are aligning (i.e., in the q-phase), the singlet-pairs of the other species must all be broken and become fully polarized. This is an important feature of multi-species spin-1 systems arising from the basic character of the inter-species interaction via a mechanism with positive feedback. Note that, when both species are in the p-phase, there is no special direction. However, once a few of A-(or B-)atoms are aligning, a special direction is established, and the inter-species interactions from them will be unified and thereby promote the spin-alignment in the other pieces, and vice versa. This is the positive feedback, that is, the alignments in both species are mutually promoted. This explains why a q-phase causes the full polarization of the other species. In particular, the transition from p-p to q-f, f-q or f-f is governed by this mechanism. It leads to a sudden breaking of all the singlet-pairs and is expected to be popular in various multi-species spin-1 systems in the neighborhood of temperature zero. |
| format | Article |
| id | doaj-art-b36dfb089031459680c5607bdd005f7f |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-b36dfb089031459680c5607bdd005f7f2025-01-26T12:29:51ZengNature PortfolioScientific Reports2045-23222025-01-0115111010.1038/s41598-024-83865-8A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atomsYanzhang He0Yimin Liu1Chengguang Bao2School of Physics, Sun Yat-Sen UniversitySchool of Intelligent Engineering, Shaoguan UniversitySchool of Physics, Sun Yat-Sen UniversityAbstract The ground states of two-species condensates with spin-1 atoms have been studied analytically and numerically. All the results from the analytical approach are checked by the latter. The $$\lambda =1$$ channel has been neglected, where $$\lambda$$ is the coupled spin of two different atoms. A complete phase diagram has been plotted against the whole parameter space which has been divided into regions associated with different phases. All the boundaries separating the regions have been analytically obtained. Let p- denote the phase of a species in which all the atoms are two by two in singlet-pairs, f- denote that all the spins are lying along a common direction (fully polarized), and q- denote a mixture of the above two phases, namely, some singlet-pairs together with a fully polarized subsystem. Then, we found that the p-phase cannot coexist with the q- or f-phase (the p-f or f-p phase could exist only if the species in the f-phase is a few-body system). The q-q phase also does not exist. Thus, once a few atoms of a species are aligning (i.e., in the q-phase), the singlet-pairs of the other species must all be broken and become fully polarized. This is an important feature of multi-species spin-1 systems arising from the basic character of the inter-species interaction via a mechanism with positive feedback. Note that, when both species are in the p-phase, there is no special direction. However, once a few of A-(or B-)atoms are aligning, a special direction is established, and the inter-species interactions from them will be unified and thereby promote the spin-alignment in the other pieces, and vice versa. This is the positive feedback, that is, the alignments in both species are mutually promoted. This explains why a q-phase causes the full polarization of the other species. In particular, the transition from p-p to q-f, f-q or f-f is governed by this mechanism. It leads to a sudden breaking of all the singlet-pairs and is expected to be popular in various multi-species spin-1 systems in the neighborhood of temperature zero.https://doi.org/10.1038/s41598-024-83865-8 |
| spellingShingle | Yanzhang He Yimin Liu Chengguang Bao A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms Scientific Reports |
| title | A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms |
| title_full | A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms |
| title_fullStr | A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms |
| title_full_unstemmed | A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms |
| title_short | A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms |
| title_sort | mechanism with positive feedback governing the transitions in super low temperature physics studied via a two species condensate with spin 1 atoms |
| url | https://doi.org/10.1038/s41598-024-83865-8 |
| work_keys_str_mv | AT yanzhanghe amechanismwithpositivefeedbackgoverningthetransitionsinsuperlowtemperaturephysicsstudiedviaatwospeciescondensatewithspin1atoms AT yiminliu amechanismwithpositivefeedbackgoverningthetransitionsinsuperlowtemperaturephysicsstudiedviaatwospeciescondensatewithspin1atoms AT chengguangbao amechanismwithpositivefeedbackgoverningthetransitionsinsuperlowtemperaturephysicsstudiedviaatwospeciescondensatewithspin1atoms AT yanzhanghe mechanismwithpositivefeedbackgoverningthetransitionsinsuperlowtemperaturephysicsstudiedviaatwospeciescondensatewithspin1atoms AT yiminliu mechanismwithpositivefeedbackgoverningthetransitionsinsuperlowtemperaturephysicsstudiedviaatwospeciescondensatewithspin1atoms AT chengguangbao mechanismwithpositivefeedbackgoverningthetransitionsinsuperlowtemperaturephysicsstudiedviaatwospeciescondensatewithspin1atoms |