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

• URL: http://arxiv.org/abs/2211.03342v4
• Date: Thu, 30 May 2024 11:36:45 GMT
• Title: Exact quantum dynamics for two-level systems with time-dependent driving
• Authors: Zhi-Cheng He, Yi-Xuan Wu, Zheng-Yuan Xue,
• Abstract summary: Time-dependent Schr"odinger equation can only be exactly solvable in very rare cases. We present a method which could generate a near infinite number of analytical-assisted solutions of the Schr"odinger equation for a qubit.
• Score: 2.69899958854431
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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