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Dynamical quantum phase transitions in a mesoscopic superconducting system

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We inspect signatures of dynamical quantum phase transitions driven by two types of quenches acting on a correlated quantum dot embedded between superconducting and metallic reservoirs. Under stationary conditions the… Click to show full abstract

We inspect signatures of dynamical quantum phase transitions driven by two types of quenches acting on a correlated quantum dot embedded between superconducting and metallic reservoirs. Under stationary conditions the proximity induced on-dot pairing, combined with strong Coulomb repulsion, prefers the quantum dot to be either in the singly occupied (spinful) or BCS-type (spinless) ground state configuration. We study the time evolution upon traversing such a phase boundary due to quantum quenches by means of the time-dependent numerical renormalization group approach, revealing non-analytic features in the low-energy return rate. Quench protocols can be realized in a controllable manner and we are confident that detection of this dynamical singlet-doublet phase transition would be feasible by charge tunnelling spectroscopy.

Keywords: dynamical quantum; quantum phase; phase transitions; phase; transitions mesoscopic; quantum

Journal Title: Physical Review B
Year Published: 2022

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