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arXiv · 2211.03342

Exact quantum dynamics for two-level systems with time-dependent driving

Zhi-Cheng He·Yi-Xuan Wu·Zheng-Yuan Xue
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Abstract

It is well-known that time-dependent Schr\"{o}dinger equation can only be exactly solvable in very rare cases, even for two-level quantum systems. Therefore, finding exact quantum dynamics under time-dependent Hamiltonian is not only of fundamental importance in quantum physics but also can facilitate active quantum manipulations for quantum information processing. Here, we present a method which could generate a near infinite number of analytical-assisted solutions of the Schr\"{o}dinger equation for a qubit with time-dependent driving. This analytical-assisted solution has free parameters with only boundary restrictions, and thus can find many applications in precise quantum manipulations. Due to the general form of the time-dependent Hamiltonian in our scheme, it can be readily implemented in various experimental setups of qubits. Therefore, our scheme provides new solutions for Schr\"{o}dinger equation, thus provides an alternative and analytical-based routine for precise control over qubits.

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Zhi-Cheng He, Yi-Xuan Wu, Zheng-Yuan Xue. 2022-11-07. Exact quantum dynamics for two-level systems with time-dependent driving. https://doi.org/10.1088/1674-1056/ad8a4c

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