Simulating Quantum Field Theories with Quantum Circuits

Abstract: Investigation of strongly interacting quantum field theories (QFTs) remains one of the outstanding challenges of modern physics. Quantum simulation has the potential to be a crucial technique towards solving this problem. By harnessing the power of quantum information processing, quantum simulation can potentially perform tasks deemed intractable by the classical information processing paradigm. In this talk, I will show that mesoscopic quantum electronic circuit lattices, built with superconducting capacitors and Josephson junctions, can simulate certain bosonic QFTs in 1+1 space-time dimensions. In contrast to conventional spin-chain lattice-regularizations, quantum circuits faithfully capture the non-perturbative properties of these QFTs and are experimentally-realizable with modern-day, superconducting circuit technology. I will begin with the free, compactified boson conformal field theory and analyze its entanglement Hamiltonian for different boundary conditions using analytical and numerical (density matrix renormalization group) techniques. Subsequently, I will describe a quantum circuit lattice for an integrable deformation of the free compactified boson QFT: the quantum sineGordon model. I will present analytical and numerical computations for the various thermodynamic properties of this model.

statistical mechanicsHEP - theorycomputational physicsquantum physics

Audience: researchers in the topic

HEP-tensor network seminars

Series comments: Please email hep-tn@aei.mpg.de for the zoom link