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- W4384389724 abstract "Understanding phase transitions of quantum systems non-perturbatively coupled to reservoirs is challenging. In particular, the physics of a single Josephson junction coupled to a resistive environment is a long-standing fundamental problem at the center of an intense debate, strongly revived by the advent of superconducting platforms with high-impedance multi-mode resonators. Here we investigate the emergent criticality of a junction coupled to a multimode resonator when the number of modes is increased. We demonstrate analytically how the multi-mode environment renormalizes the Josephson and capacitive energies of the junction: for a homogeneous transmission line, in the thermodynamic limit the ratio between the renormalized Josephson and capacitive energies diverges when the impedance is smaller than the resistance quantum and vanishes otherwise. The critical behavior is shown not to depend on the extended or compact nature of the Josephson junction phase. Via exact diagonalization, we find that the transition surprisingly stems from a level anticrossing involving not the ground state, but the first excited state, whose energy gap vanishes in the thermodynamic limit. We show that at the transition point the spectrum displays universality not only at low frequencies. In agreement with recent experiments, we reveal striking spectral signatures of the phase transition." @default.
- W4384389724 created "2023-07-15" @default.
- W4384389724 creator A5062958037 @default.
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- W4384389724 date "2023-07-12" @default.
- W4384389724 modified "2023-09-25" @default.
- W4384389724 title "Emergent quantum phase transition of a Josephson junction coupled to a high-impedance multimode resonator" @default.
- W4384389724 doi "https://doi.org/10.48550/arxiv.2307.06383" @default.
- W4384389724 hasPublicationYear "2023" @default.
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