通过反绝热驱动利用超冷原子加速制备NOON态
Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving
AI总结：
本文提出利用反绝热驱动加速超冷原子制备NOON态，通过第三个模式对称耦合和静态参数调整实现高效间隙工程，使协议速度增益随原子数指数增长，并保持高保真度。
摘要：
本文提出了一种量子控制协议，用于在两个模式上利用N个超冷玻色原子制备NOON态，该态对应于相干叠加态$\vert N,0\rangle + \vert 0,N\rangle$。该态可以通过使用第三个模式来制备，所有玻色子最初都放置在该模式中，并且该模式对称地耦合到另外两个模式。将第三个模式的能量调节到跨越其他模式的能级，可以实现NOON态的绝热制备。尽管由于所涉及的光谱间隙很小，该过程通常需要太长时间而缺乏实际可用性，但可以通过反绝热驱动大幅加速，从而实现有效的间隙工程。我们证明该过程可以通过静态参数调整来实现，这些调整在超冷量子气体实验中是可行的。所获得的协议所需速度的增益因子随所涉及原子数呈指数增长，从而抵消了该绝热跃迁所依赖的指数级缓慢的集体隧穿过程。除了优化协议速度外，我们的NOON态制备方案还实现了优异的保真度，在实际应用中具有竞争力。
英文摘要：
A quantum control protocol is proposed for the creation of NOON states with $N$ ultracold bosonic atoms on two modes, corresponding to the coherent superposition $\vert N,0\rangle + \vert 0,N\rangle$. This state can be prepared by using a third mode where all bosons are initially placed and which is symmetrically coupled to the two other modes. Tuning the energy of this third mode across the energy level of the other modes allows the adiabatic creation of the NOON state. While this process normally takes too much time to be of practical usefulness, due to the smallness of the involved spectral gap, it can be drastically boosted through counterdiabatic driving which allows for efficient gap engineering. We demonstrate that this process can be implemented in terms of static parameter adaptations that are experimentally feasible with ultracold quantum gases. Gain factors in the required protocol speed are obtained that increase exponentially with the number of involved atoms and thus counterbalance the exponentially slow collective tunneling process underlying this adiabatic transition. Besides optimizing the protocol speed, our NOON state preparation scheme achieves excellent fidelities that are competitive for practical applications.
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