The quantum sine-Gordon model with quantum circuits

Analog quantum simulation has the potential to be an indispensable technique in investigation of complex systems. In this work, we numerically investigate a one-dimensional, faithful, analog, electronic circuit simulator built out Josephson junctions for one paradigmatic models integrable field theory: sine-Gordon (qSG) model 1+1 space-time dimensions. We analyze lattice using density matrix renormalization group and benchmark our numerical results with existing Bethe ansatz computations. Furthermore, perform analytical form-factor calculations two-point correlation function vertex operators, which closely agree Finally, compute entanglement spectrum qSG model. compare those obtained lattice-regularization based on XYZ chain show that is less susceptible corrections scaling compared chain. provide evidence parameters required realize are accessible modern-day superconducting technology, thus providing additional credence towards viability latter platform simulating strongly interacting theories.