Adiabatic preparation of many-body quantum states: getting the beginning and ending right

• URL: http://arxiv.org/abs/2512.17780v1
• Date: Fri, 19 Dec 2025 16:50:46 GMT
• Title: Adiabatic preparation of many-body quantum states: getting the beginning and ending right
• Authors: Emil T. M. Pedersen, Freek Witteveen, Klaus Mølmer, Matthias Christandl,
• Abstract summary: We demonstrate that the end-to-end transfer error can be suppressed by adopting smooth initial and final scheduling functions for the Hamiltonian.<n>We show, in particular, that if the time dependent Hamiltonian is $n$ times differentiable with vanishing $1st$ to $nth$ order derivatives in the beginning and in the end, the infidelity with respect to the final adiabatic eigenstate scales as $1/Tn+1$ when evolving for time $T$.
• Score: 1.631115063641726
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 $T$.

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