Anomalous Josephson current through a driven double quantum dot

Abstract

Josephson junctions based on quantum dots offer a convenient tunability by means of local gates. Here we analyze a Josephson junction based on a serial double quantum dot in which the two dots are individually gated by phase-shifted microwave tones of equal frequency. We calculate the time-averaged current across the junction and determine how the phase shift between the drives modifies the current-phase relation of the junction. Breaking particle-hole symmetry on the dots is found to give rise to a finite average anomalous Josephson current with phase bias between the superconductors fixed to zero. This microwave gated weak link thus realizes a tunable "Floquet ${\phi }_0$-junction" with maximum critical current achieved for driving frequencies slightly off-resonance with the energy cost of exciting a sub-gap state on each dot. We provide numerical results supported by an analytical analysis for infinite superconducting gap and weak inter-dot coupling. We identify an interaction driven $0-\pi$ transition of anomalous Josephson current as a function of driving phase difference. Finally, we show that this junction can be tuned so as to provide for complete rectification of the time-averaged Josephson current phase relation.

arXiv comment16 pages, 12 figures

References in corpus (68)

• Charge insensitive qubit design derived from the Cooper pair box
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Quantum state engineering with Josephson-junction devices
• Circuit Quantum Electrodynamics
• Superconducting Qubits: Current State of Play
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• State preservation by repetitive error detection in a superconducting quantum circuit
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Photon-assisted transport in semiconductor nanostructures
• A blueprint for demonstrating quantum supremacy with superconducting qubits
• Supercurrent reversal in quantum dots
• Realization of the field-free Josephson Diode
• A Semiconductor Nanowire-Based Superconducting Qubit
• A Josephson junction supercurrent diode
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Josephson and Andreev transport through quantum dots
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Coherent manipulation of Andreev states in superconducting atomic contacts
• Superconducting Gatemon Qubit based on a Proximitized Two-Dimensional Electron Gas
• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• The Josephson diode effect in supercurrent interferometers
• Coherent manipulation of an Andreev spin qubit
• Exciting Andreev pairs in a superconducting atomic contact
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Spectral properties of locally correlated electrons in a BCS superconductor
• Direct microwave measurement of Andreev-bound-state dynamics in a proximitized semiconducting nanowire
• Kinky Behavior in Josephson Junctions
• Periodic alternating $0,\pi$-junction structures as realization of $\varphi$-Josephson junctions
• Topological Josephson ${\varphi }_0$-junctions
• Experimental evidence of a ϕ Josephson junction
• Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
• Anomalous Josephson current, incipient time-reversal symmetry breaking, and Majorana bound states in interacting multi-level dots
• Andreev Molecules in Semiconductor Nanowire Double Quantum Dots
• Gatemon Benchmarking and Two-Qubit Operation
• Josephson junction with magnetic-field tunable ground state
• Continuous monitoring of a trapped, superconducting spin
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Anomalous Josephson current through a ferromagnetic trilayer junction
• The Anderson-Josephson quantum dot -- A theory perspective
• Yu-Shiba-Rusinov states in phase-biased S-QD-S junctions
• Dynamics of quasiparticle trapping in Andreev levels
• Supercurrent in a double quantum dot
• Frequency-dependent admittance of a short superconducting weak link
• 0-$\pi$ quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy
• Signatures of interactions in the Andreev spectrum of nanowire Josephson junctions
• Josephson current through interacting double quantum dots with spin-orbit coupling
• φ-State and Inverted Fraunhofer Pattern in Nonaligned Josephson Junctions
• Critical supercurrent and ${\varphi }_0$ state for probing a persistent spin helix
• Two-Impurity Yu-Shiba-Rusinov States in Coupled Quantum Dots
• Theory of microwave-assisted supercurrent in quantum point contacts
• Microwave response of an Andreev bound state
• Photon-assisted tunneling at the atomic scale: Probing resonant Andreev reflections from Yu-Shiba-Rusinov states
• Charge and spin pumping through a double quantum dot
• Triplet-blockaded Josephson supercurrent in double quantum dots
• Photon-assisted resonant Andreev reflections: Yu-Shiba-Rusinov and Majorana states
• Practical Guide to Quantum Phase Transitions in Quantum-Dot-Based Tunable Josephson Junctions
• Theory of microwave spectroscopy of Andreev bound states with a Josephson junction
• Supercurrent and Andreev bound state dynamics in superconducting quantum point contacts under microwave irradiation
• Inductive microwave response of Yu-Shiba-Rusinov states
• Nonadiabatic Josephson current pumping by microwave irradiation
• Subgap dynamics of double quantum dot coupled between superconducting and normal leads
• Second Order Perturbation Theory for a Superconducting Double Quantum Dot
• Nonadiabatic charge pumping across two superconductors connected through a normal metal region by periodically driven potentials

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