Superconducting circuit probe for analog quantum simulators

Liang-Hui Du, J. Q. You, and Lin Tian
Phys. Rev. A 92, 012330 – Published 27 July 2015

Abstract

Analog quantum simulators can be used to study quantum correlation in novel many-body systems by emulating the Hamiltonian of these systems. One essential question in quantum simulation is to probe the properties of an emulated many-body system. Here we present a circuit QED scheme for probing such properties by measuring the spectrum of a superconducting resonator coupled to a quantum simulator. We first study a general framework of this approach and show that the spectrum of the resonator is directly related to the correlation function of the coupling operator between the resonator and the simulator. We then apply this scheme to a simulator of the transverse field Ising model implemented with superconducting qubits, where the resonance peaks in the resonator spectrum correspond to the frequencies of the elementary excitations. The effects of resonator damping, qubit decoherence, and resonator backaction are also discussed. This setup can be used to probe a broad range of many-body models.

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  • Received 27 May 2015

DOI:https://doi.org/10.1103/PhysRevA.92.012330

©2015 American Physical Society

Authors & Affiliations

Liang-Hui Du1, J. Q. You2, and Lin Tian1,*

  • 1School of Natural Sciences, University of California, Merced, California 95343, USA
  • 2Beijing Computational Science Research Center, Beijing 100094, China

  • *ltian@ucmerced.edu

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Vol. 92, Iss. 1 — July 2015

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