Adiabatic preparation of many-body quantum states: getting the beginning and ending right
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918256351117312 |
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| author | Pedersen, Emil T. M. Witteveen, Freek Mølmer, Klaus Christandl, Matthias |
| author_facet | Pedersen, Emil T. M. Witteveen, Freek Mølmer, Klaus Christandl, Matthias |
| contents | We present numerical calculations, and simulations performed on a Rydberg atom quantum simulator, of the adiabatic evolution of many-body quantum systems around a quantum phase transition. We demonstrate that the end-to-end transfer error, for a given process duration and dissipative losses, can be suppressed by adopting smooth initial and final scheduling functions for the Hamiltonian. We consider a one-dimensional mixed-field Ising model, as well as a chain of Rydberg atoms, and compare numerical calculations and experimental results for the end-to-end transfer error with different schedule functions. We show, in particular, that if the time dependent Hamiltonian is $n$ times differentiable with vanishing $1^{st}$ to $n^{th}$ order derivatives in the beginning and in the end, the infidelity with respect to the final adiabatic eigenstate scales as $1/T^{n+1}$ when evolving for time $T$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adiabatic preparation of many-body quantum states: getting the beginning and ending right Pedersen, Emil T. M. Witteveen, Freek Mølmer, Klaus Christandl, Matthias Quantum Physics We present numerical calculations, and simulations performed on a Rydberg atom quantum simulator, of the adiabatic evolution of many-body quantum systems around a quantum phase transition. We demonstrate that the end-to-end transfer error, for a given process duration and dissipative losses, can be suppressed by adopting smooth initial and final scheduling functions for the Hamiltonian. We consider a one-dimensional mixed-field Ising model, as well as a chain of Rydberg atoms, and compare numerical calculations and experimental results for the end-to-end transfer error with different schedule functions. We show, in particular, that if the time dependent Hamiltonian is $n$ times differentiable with vanishing $1^{st}$ to $n^{th}$ order derivatives in the beginning and in the end, the infidelity with respect to the final adiabatic eigenstate scales as $1/T^{n+1}$ when evolving for time $T$. |
| title | Adiabatic preparation of many-body quantum states: getting the beginning and ending right |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.17780 |