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Bulletin of the American Physical Society

Simulating many-body physics using Josephson-junction arrays in circuit-QED architecture

R. Cosmic, Hiroki Ikegami, Zhirong Lin, K. Inomata, Jacob M. Taylor, Yasunobu Nakamura

Published Mar 6, 2018• 0 citations
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回路量子電磁力学の手法を用いたジョセフソン接合列の研究

R. Cosmic

Superconducting Josephson junction arrays (JJAs) are prototypical systems consisting of an array of superconducting islands connected by small Josephson junctions which provide an explicit realization of the canonical XY model of condensed matter physics.In this study we show how circuit quantumelectrodynamics (QED) techniques, perfected for implementing high-quality quantum bits, enable the exploration of new high-frequency regimes of JJAs.By making use of extremely low excitation power and heating of the array, we can probe physics of these systems using one single photon on average.

•Sep 13, 2019•0 citations
The continuous improvement of fabrication techniques and high-quality semiconductor-superconductor interfaces allows for an unprecedented tunability of Josephson junction arrays (JJA), making them a promising candidate for analog quantum simulations of many-body phenomena. While most experimental proposals so far focused on quantum simulations of ensembles of two-level systems, the possibility of tuning the current-phase relation beyond the sinusoidal regime paves the way for studying statistical physics models with larger local Hilbert spaces. Here, we investigate a particular JJA architecture that can be mapped into a Z3{\mathbb{Z}}_{3}Z3​ clock model. Through matrix-product-states simulations and bosonization analysis, we show that few experimentally accessible control parameters allow for the exploration of the rich phase diagrams of the associated low-energy field theories. Our results expand the horizon for analog quantum simulations with JJAs towards models that can not be efficiently captured with qubit architectures.
We propose and validate a framework for analog simulation of the Heisenberg spin model using a circuit quantum electrodynamics (circuit-QED) platform. To this end, we develop a continuous family of deformed boson representations of the SU(2) algebra, which includes the Holstein-Primakoff and Dyson-Maleev transformations as special cases. For spin-1/2 systems, we introduce a procedure to circumvent the inherent non-Hermiticity of the representation, showing that this entire family yields the extended Bose-Hubbard (EBH) Hamiltonian. For the experimental realization of this EBH model, we design a scalable circuit-QED architecture based on an engineered Josephson junction array. Numerical simulations confirm that the microwave photon dynamics in this simulator accurately reproduces the original spin dynamics. Our work establishes an experimentally accessible method for investigating complex quantum spin dynamics in a highly controllable bosonic setting.
Superconducting Josephson junction arrays (JJAs) are prototypical systems consisting of an array of superconducting islands connected by small Josephson junctions which provide an explicit realization of the canonical XY model of condensed matter physics.In this study we show how circuit quantumelectrodynamics (QED) techniques, perfected for implementing high-quality quantum bits, enable the exploration of new high-frequency regimes of JJAs.By making use of extremely low excitation power and heating of the array, we can probe physics of these systems using one single photon on average.