A superconducting circuit probe for analog quantum simulators
arXiv:1312.6152 · doi:10.1103/PhysRevA.92.012330
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.
9 pages, 5 figures, published version
References in corpus (18)
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Observation of topological transitions in interacting quantum circuits
- Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
- Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity QED
- Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
- Measuring a topological transition in an artificial spin 1/2 system
- Tunable coupling engineering between superconducting resonators: from sidebands to effective gauge fields
- Digital Quantum Simulation of Spin Systems in Superconducting Circuits
- Cavity enhanced light scattering in optical lattices to probe atomic quantum statistics
- Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
- Large Dispersive Shift of Cavity Resonance Induced by a Superconducting Flux Qubit in the Straddling Regime
- Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
- Circuit QED and sudden phase switching in a superconducting qubit array
- Simulating weak localization using superconducting quantum circuits
- Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
- A Josephson Junction Microscope for Low-frequency Fluctuators
- Quantum phase transition in a multi-connected superconducting Jaynes-Cummings lattice
- Simulating the Transverse Ising Model on a Quantum Computer: Error Correction with the Surface Code
Cited by in corpus (6)
- Quantum computers as universal quantum simulators: state-of-art and perspectives
- Dipolar Spin Models with Arrays of Superconducting Qubits
- Cavity-assisted Dynamical Quantum Phase Transition at Bifurcation Points
- Reconstructing the ideal results of a perturbed analog quantum simulator
- Electromechanical Quantum Simulators
- Analyzing the spectral density of a perturbed analog quantum simulator using Keldysh formalism