Scaling of energy and power in a large quantum battery-charger model
We investigate a multiqubit quantum battery-charger model, focusing on its potential emulation on a superconducting qubit chip. Using a large-spin representation, we first obtain the analytical form of the energy E_{B}(t) and power P_{B}(t), and their maximum values E_{B}^{max} and P_{B}^{max}, of t...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-11-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.043150 |
| _version_ | 1827285309855891456 |
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| author | Lei Gao Chen Cheng Wen-Bin He Rubem Mondaini Xi-Wen Guan Hai-Qing Lin |
| author_facet | Lei Gao Chen Cheng Wen-Bin He Rubem Mondaini Xi-Wen Guan Hai-Qing Lin |
| author_sort | Lei Gao |
| collection | DOAJ |
| description | We investigate a multiqubit quantum battery-charger model, focusing on its potential emulation on a superconducting qubit chip. Using a large-spin representation, we first obtain the analytical form of the energy E_{B}(t) and power P_{B}(t), and their maximum values E_{B}^{max} and P_{B}^{max}, of the battery part by means of the antiferromagnetic Holstein-Primakoff transformation within the low-energy approximation. In this case, our results show that superextensive scaling behavior of P_{B}^{max} ensues. By further combining these with the ones obtained via exact diagonalization, we classify the dynamics of various physical quantities, including the entanglement between the battery and charger parts for system sizes encompassing over 10 000 qubits. Finally, by checking a diverse set of system configurations, including either a fixed battery size with a growing number of charger qubits or when both parts simultaneously grow, we classify the system size scalings of E_{B}^{max} and P_{B}^{max}, relating it with the entanglement entropy in the system. In agreement with the analytical results, robust superextensive behavior of P_{B}^{max} is also observed in this case. Our work provides an overall guide for expected features in experiments of quantum batteries emulated in superconducting qubit platforms, in particular ones that exhibit long-range couplings. |
| first_indexed | 2024-04-24T10:12:49Z |
| format | Article |
| id | doaj.art-5f7528225a794c49895599549a6c55dc |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:49Z |
| publishDate | 2022-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5f7528225a794c49895599549a6c55dc2024-04-12T17:26:39ZengAmerican Physical SocietyPhysical Review Research2643-15642022-11-014404315010.1103/PhysRevResearch.4.043150Scaling of energy and power in a large quantum battery-charger modelLei GaoChen ChengWen-Bin HeRubem MondainiXi-Wen GuanHai-Qing LinWe investigate a multiqubit quantum battery-charger model, focusing on its potential emulation on a superconducting qubit chip. Using a large-spin representation, we first obtain the analytical form of the energy E_{B}(t) and power P_{B}(t), and their maximum values E_{B}^{max} and P_{B}^{max}, of the battery part by means of the antiferromagnetic Holstein-Primakoff transformation within the low-energy approximation. In this case, our results show that superextensive scaling behavior of P_{B}^{max} ensues. By further combining these with the ones obtained via exact diagonalization, we classify the dynamics of various physical quantities, including the entanglement between the battery and charger parts for system sizes encompassing over 10 000 qubits. Finally, by checking a diverse set of system configurations, including either a fixed battery size with a growing number of charger qubits or when both parts simultaneously grow, we classify the system size scalings of E_{B}^{max} and P_{B}^{max}, relating it with the entanglement entropy in the system. In agreement with the analytical results, robust superextensive behavior of P_{B}^{max} is also observed in this case. Our work provides an overall guide for expected features in experiments of quantum batteries emulated in superconducting qubit platforms, in particular ones that exhibit long-range couplings.http://doi.org/10.1103/PhysRevResearch.4.043150 |
| spellingShingle | Lei Gao Chen Cheng Wen-Bin He Rubem Mondaini Xi-Wen Guan Hai-Qing Lin Scaling of energy and power in a large quantum battery-charger model Physical Review Research |
| title | Scaling of energy and power in a large quantum battery-charger model |
| title_full | Scaling of energy and power in a large quantum battery-charger model |
| title_fullStr | Scaling of energy and power in a large quantum battery-charger model |
| title_full_unstemmed | Scaling of energy and power in a large quantum battery-charger model |
| title_short | Scaling of energy and power in a large quantum battery-charger model |
| title_sort | scaling of energy and power in a large quantum battery charger model |
| url | http://doi.org/10.1103/PhysRevResearch.4.043150 |
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