The quantum sine-Gordon model with quantum circuits

Ananda Roy, Dirk Schuricht, J Hauschild, F Pollmann, H Saleur

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

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

Original languageEnglish
Article number115445
Pages (from-to)1-28
JournalNuclear Physics B
Volume968
DOIs
Publication statusPublished - Jul 2021

Fingerprint

Dive into the research topics of 'The quantum sine-Gordon model with quantum circuits'. Together they form a unique fingerprint.

Cite this