Laplace transform approach for the dynamics of N qubits coupled to a resonator |
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| Authors: | Mirko Amico Oleg L Berman Roman Ya Kezerashvili |
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| Institution: | 1. Physics Department, New York City College of Technology, The City University of New York, Brooklyn, NY 11201, USA;2. The Graduate School and University Center, The City University of New York, New York, NY 10016, USA |
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| Abstract: | An approach to use the method of Laplace transform for the perturbative solution of the Schrödinger 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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| Keywords: | Laplace transform Qubits Dynamical Lamb effect |
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