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Laplace transform approach for the dynamics of N qubits coupled to a resonator
An approach to use the method of Laplace transform for the perturbative solution of the Schr\"{o}dinger equation at any order of the perturbation for a system of \(N\) qubits coupled to a cavity with \(n\) photons is suggested. We investigate the dynamics of a system of \(N\) superconducting qu...
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Published in: | arXiv.org 2018-09 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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Summary: | An approach to use the method of Laplace transform for the perturbative solution of the Schr\"{o}dinger equation at any order of the perturbation for a system of \(N\) qubits coupled to a cavity with \(n\) photons is suggested. We investigate the dynamics of a system of \(N\) superconducting qubits coupled to a common resonator with time-dependent coupling. To account for the contribution of the dynamical Lamb effect to the probability of excitation of the qubit, we consider counter-rotating terms in the qubit-photon interaction Hamiltonian. As an example, we illustrate the method for the case of two qubits coupled to a common cavity. The perturbative solutions for the probability of excitation of the qubit show excellent agreement with the numerical calculations. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.1809.02881 |