Ananda Roy, Analog Simulation of Soliton Confinement in a perturbed sine-Gordon model

Monday 24 Oct 2022, 14:00 → 16:00 US/Eastern

Analog quantum simulation has the potential to be an indispensable technique in the
investigation of non-perturbative phenomena in strongly-interacting quantum field theories
(QFTs). Recent breakthroughs in the fabrication of large arrays of small Josephson junctions
have led to experimental investigation of the free boson QFT when strongly coupled to an
impurity. Motivated by the advancement of quantum technologies and building on earlier
proposals [1] to realize integrable QFTs with quantum circuits, we propose a one-
dimensional, quantum electronic circuit simulator built with Josephson junctions to
investigate the confinement of solitons in the 1+1D sine-Gordon model due to a perturbing
potential. We analyze the lattice model using the density matrix renormalization group
technique. We provide numerical signatures of the confinement of sine-Gordon solitons and
compute the string-tension. We also investigate the analytic properties of the ground state
energy in the perturbed sine-Gordon model, generalizing earlier works on the Ising model.
Our results show that quantum electronic circuits provide a more versatile and faithful
lattice regularization of the perturbed sine-Gordon model compared to spin-chain
regularizations.
[1] A. Roy et al, Nucl. Phys. B 968, 115455 (2021)

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