Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gas
We propose experimentally feasible means for nondestructive thermometry of homogeneous Bose-Einstein condensates in different spatial dimensions (d∈{1,2,3}). Our impurity-based protocol suggests that the fundamental error bound on thermometry at the subnanokelvin domain depends highly on the dimensi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.023191 |
| _version_ | 1797210730509893632 |
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| author | Muhammad Miskeen Khan Mohammad Mehboudi Hugo Terças Maciej Lewenstein Miguel Angel Garcia-March |
| author_facet | Muhammad Miskeen Khan Mohammad Mehboudi Hugo Terças Maciej Lewenstein Miguel Angel Garcia-March |
| author_sort | Muhammad Miskeen Khan |
| collection | DOAJ |
| description | We propose experimentally feasible means for nondestructive thermometry of homogeneous Bose-Einstein condensates in different spatial dimensions (d∈{1,2,3}). Our impurity-based protocol suggests that the fundamental error bound on thermometry at the subnanokelvin domain depends highly on the dimension, in that the higher the dimension the better the precision. Furthermore, suboptimal thermometry of the condensates by using measurements that are experimentally feasible is explored. We specifically focus on measuring position and momentum of the impurity that belong to the family of Gaussian measurements. We show that, generally, experimentally feasible measurements are far from optimal, except in one dimension, where position measurements are indeed optimal. This makes realistic experiments perform very well at few nanokelvin temperatures for all dimensions, and at subnanokelvin temperatures in the one-dimensional scenario. These results take a significant step towards experimental realization of probe-based quantum thermometry of Bose-Einstein condensates, as it deals with them in one, two, and three dimensions and uses feasible measurements applicable in current experimental setups. |
| first_indexed | 2024-04-24T10:15:14Z |
| format | Article |
| id | doaj.art-7a47b814313b461e9bda251f85729dc4 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:14Z |
| publishDate | 2022-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-7a47b814313b461e9bda251f85729dc42024-04-12T17:21:36ZengAmerican Physical SocietyPhysical Review Research2643-15642022-06-014202319110.1103/PhysRevResearch.4.023191Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gasMuhammad Miskeen KhanMohammad MehboudiHugo TerçasMaciej LewensteinMiguel Angel Garcia-MarchWe propose experimentally feasible means for nondestructive thermometry of homogeneous Bose-Einstein condensates in different spatial dimensions (d∈{1,2,3}). Our impurity-based protocol suggests that the fundamental error bound on thermometry at the subnanokelvin domain depends highly on the dimension, in that the higher the dimension the better the precision. Furthermore, suboptimal thermometry of the condensates by using measurements that are experimentally feasible is explored. We specifically focus on measuring position and momentum of the impurity that belong to the family of Gaussian measurements. We show that, generally, experimentally feasible measurements are far from optimal, except in one dimension, where position measurements are indeed optimal. This makes realistic experiments perform very well at few nanokelvin temperatures for all dimensions, and at subnanokelvin temperatures in the one-dimensional scenario. These results take a significant step towards experimental realization of probe-based quantum thermometry of Bose-Einstein condensates, as it deals with them in one, two, and three dimensions and uses feasible measurements applicable in current experimental setups.http://doi.org/10.1103/PhysRevResearch.4.023191 |
| spellingShingle | Muhammad Miskeen Khan Mohammad Mehboudi Hugo Terças Maciej Lewenstein Miguel Angel Garcia-March Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gas Physical Review Research |
| title | Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gas |
| title_full | Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gas |
| title_fullStr | Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gas |
| title_full_unstemmed | Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gas |
| title_short | Subnanokelvin thermometry of an interacting d-dimensional homogeneous Bose gas |
| title_sort | subnanokelvin thermometry of an interacting d dimensional homogeneous bose gas |
| url | http://doi.org/10.1103/PhysRevResearch.4.023191 |
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