Laplace transform approach for the dynamics of N qubits coupled to a resonator

POSTER

Abstract

An approach to use the method of Laplace transform for the perturbative solution of the Schrodinger 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.

Presenters

  • Mirko Amico

    CUNY Graduate Center

Authors

  • Mirko Amico

    CUNY Graduate Center

  • Oleg Berman

    Physics, CUNY - City Tech, Physics Department, New York City College of Technology, City University of New York, New York, USA, CUNY Graduate Center

  • Roman Kezerashvili

    Physics Department, New York City College of Technology, City University of New York, Physics, CUNY - City Tech, Physics Department, New York City College of Technology, City University of New York, New York, USA, CUNY Graduate Center, Physics, City Tech and Graduate Center The City University of New York