Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915118724415488 |
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| author | Cavalcante, Moallison F. Bonança, Marcus V. S. Miranda, Eduardo Deffner, Sebastian |
| author_facet | Cavalcante, Moallison F. Bonança, Marcus V. S. Miranda, Eduardo Deffner, Sebastian |
| contents | We consider the optimal control of switching on a coupling term between two quantum many-body systems. Specifically, we (i) quantify the energetic cost of establishing a weak junction between two quantum spin-$1/2$ chains in finite time $τ$ and (ii) identify the energetically optimal protocol to realize it. For linear driving protocols, we find that for long times the excess (irreversible) work scales as $τ^{-η}$, where $η=1, 2$ or a nonuniversal number depending on the phase of the chains. Interestingly, increasing a $J_z$ anisotropy in the chains suppresses the excess work thus promoting quasi-adiabaticity. The general optimal control problem is solved, employing a Chebyshev ansatz. We find that the optimal control protocol is intimately sensitive to the chain phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10074 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nano-welding of quantum spin-$1/2$ chains at minimal dissipation Cavalcante, Moallison F. Bonança, Marcus V. S. Miranda, Eduardo Deffner, Sebastian Strongly Correlated Electrons Statistical Mechanics Quantum Physics We consider the optimal control of switching on a coupling term between two quantum many-body systems. Specifically, we (i) quantify the energetic cost of establishing a weak junction between two quantum spin-$1/2$ chains in finite time $τ$ and (ii) identify the energetically optimal protocol to realize it. For linear driving protocols, we find that for long times the excess (irreversible) work scales as $τ^{-η}$, where $η=1, 2$ or a nonuniversal number depending on the phase of the chains. Interestingly, increasing a $J_z$ anisotropy in the chains suppresses the excess work thus promoting quasi-adiabaticity. The general optimal control problem is solved, employing a Chebyshev ansatz. We find that the optimal control protocol is intimately sensitive to the chain phases. |
| title | Nano-welding of quantum spin-$1/2$ chains at minimal dissipation |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2404.10074 |