Optimal Quantum Feshbach Engines
Abstract
We develop a general optimization framework for high-efficiency quantum cycles implemented with a trapped Bose-Einstein condensate, whose control parameters are the trap stiffness and the interaction strength, the latter tuned via Feshbach resonance. Combining a variational description of the condensate dynamics with Nelson's stochastic quantization, we map the quantum evolution onto an effective classical Ornstein-Uhlenbeck process, enabling the systematic optimization of each cycle stroke. The optimal protocol is obtained by minimizing a user-defined cost functional that selects the best trade-off between protocol duration and arbitrary physical constraints (such as the expended work or the proximity to an adiabatic evolution). The resulting protocols remain remarkably stable over repeated cycles, demonstrating the robustness of the optimization strategy. More generally, our framework provides a systematic route to the optimal control of nonlinear Schrödinger equations, with potential applications to quantum fluids, nonlinear optics, and quantum plasmas.
Related
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BibTeX
@misc{wandhammer2026optimal,
title = {{Optimal Quantum Feshbach Engines}},
author = {Aaron Wandhammer and Vincent Hardel and Paul-Antoine Hervieux and Giovanni Manfredi},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.21562},
url = {https://hal.science/hal-05781301v1},
note = {CC BY-ND 4.0},
}
RIS
TY - UNPB
TI - Optimal Quantum Feshbach Engines
AU - Aaron Wandhammer
AU - Vincent Hardel
AU - Paul-Antoine Hervieux
AU - Giovanni Manfredi
PY - 2026
DA - 2026/09/24
PB - HAL
DO - 10.48550/arxiv.2605.21562
UR - https://hal.science/hal-05781301v1
AB - We develop a general optimization framework for high-efficiency quantum cycles implemented with a trapped Bose-Einstein condensate, whose control parameters are the trap stiffness and the interaction strength, the latter tuned via Feshbach resonance. Combining a variational description of the condensate dynamics with Nelson's stochastic quantization, we map the quantum evolution onto an effective classical Ornstein-Uhlenbeck process, enabling the systematic optimization of each cycle stroke. The optimal protocol is obtained by minimizing a user-defined cost functional that selects the best trade-off between protocol duration and arbitrary physical constraints (such as the expended work or the proximity to an adiabatic evolution). The resulting protocols remain remarkably stable over repeated cycles, demonstrating the robustness of the optimization strategy. More generally, our framework provides a systematic route to the optimal control of nonlinear Schrödinger equations, with potential applications to quantum fluids, nonlinear optics, and quantum plasmas.
ER -