SKM 2023 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 54: Quantum Coherence and Quantum Information Systems II

TT 54.2: Talk

Thursday, March 30, 2023, 15:15–15:30, HSZ 304

Many body localization of 2D transmon arrays with a quasi-periodic potential and perturbative Walsh-Hadamard coefficients — •Evangelos Varvelis and David DiVincenzo — JARA, Aachen, Germany

Recently it has been shown that transmon qubit architectures experience a phase transition between many body localized and quantum chaotic. It is crucial for quantum computation that the system remains in the localized regime, yet the most common way to achieve this relies on random disorder. Here we propose a quasi-periodic potential as a substitute for random disorder, with the purpose of localizing a 2D transmon array. We demonstrate, using the Walsh-Hadamard diagnostic, that the quasiperiodic potential is more effective at achieving localization. In order to study the localizing properties of our new potential for experimentally relevant system sizes, we develop a many-body perturbation theory whose computational cost scales only with the non-interacting system dimensions.