# Theoretical seminars in Kapitza Institute for Physical Problems

## Quantum simulation of Luttinger liquid physics in Josephson transmission lines

25 January, the day after tomorrow in 11:30

Vladimir Manucharyan (University of Maryland)

Here we present the first quantum simulator for an impurity scattering in interacting 1D wires. The simulator consists of a transmission line made out of more than 30,000 Josephson junctions serving as a high-impedance media for microwave photons and a small phase slip Josephson junction playing the role of a back-scattering impurity. The system can be described by a boundary sine-Gordon model where the interaction strength is defined as g = Z/R_{q} with Z being the transmission line impedance and R_{q} = 6.5 kOhm the resistance quantum. By measuring scattering amplitudes and a spectrum of inelastically scattered microwave photons we can find the first and higher order correlation functions related to an AC conductance of the impurity. The controllability of the transmission line parameters and the finite size of the system allow us to fabricate lines with impedances exceeding R_{q} while keeping the phase slip rate of the line’s junctions very low. It gives us the unique opportunity to test Luttinger liquid physics at both sides of the critical point g = 1. A similar experimental setup can be used to simulate a Kondo impurity.

Seminars are held on Thursdays in the conference hall Kapitza Institute for Physical Problems in Moscow, beginning at 11:30.

You can subscribe and receive announcements about ITP seminars. If you have any questions, please contact the secretary of the seminar Yakov Fominov.