Higgs-like pair amplitude dynamics in superconductor–quantum-dot hybrids

@article{Kamp2021HiggslikePA,
  title={Higgs-like pair amplitude dynamics in superconductor–quantum-dot hybrids},
  author={M. Kamp and Bj{\"o}rn Sothmann},
  journal={Physical Review B},
  year={2021},
  volume={103},
  pages={045414}
}
We consider a quantum dot weakly tunnel coupled to superconducting reservoirs. A finite superconducting pair amplitude can be induced on the dot via the proximity effect. We investigate the dynamics of the induced pair amplitude after a quench and under periodic driving of the system by means of a real-time diagrammatic approach. We find that the quench dynamics is dominated by an exponential decay towards equilibrium. In contrast, the periodically driven system can sustain coherent… 

Figures from this paper

Pair-amplitude dynamics in strongly coupled superconductor–quantum dot hybrids

We consider a three-terminal system consisting of a quantum dot strongly coupled to two superconducting reservoirs in the infinite gap limit and weakly coupled to a normal metal. Using a real-time

Solution of master equations by fermionic-duality: Time-dependent charge and heat currents through an interacting quantum dot proximized by a superconductor

1 We analyze the time-dependent solution of master equations by exploiting fermionic 2 duality, a dissipative symmetry applicable to a large class of open systems de- 3 scribing quantum transport.

A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads

The combined action of a DC bias and a microwave drive on the transport characteristic of a superconductor-quantum dot-superconductor junction is investigated. To cope with non-equilibrium effects and

From nonequilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: Steady-state and adiabatic dynamics

Bibek Bhandari, 2 Rosario Fazio, 4 Fabio Taddei, and Liliana Arrachea NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy Department of Physics and Astronomy, University

References

SHOWING 1-10 OF 57 REFERENCES

Phase-dependent heat and charge transport through superconductor–quantum dot hybrids

We analyze heat and charge transport through a single-level quantum dot coupled to two BCS superconductors at different temperatures to first order in the tunnel coupling. In order to describe the

Zero-bias anomalies and boson-assisted tunneling through quantum dots.

A zero-bias anomaly in the differential conductance of resonant tunneling through a quantum dot with one degenerate level is found which can show a local maximum or minimum depending on the level position.

Higgs Mode in Superconductors

When the continuous symmetry of a physical system is spontaneously broken, two types of collective modes typically emerge: the amplitude and the phase modes of the order-parameter fluctuation. For

Coupling of Higgs and Leggett modes in non-equilibrium superconductors

Using numerical exact simulations, it is shown that optical pump–probe experiments excite both Higgs and Leggett modes out of equilibrium, and that this non-adiabatic excitation process introduces a strong interaction between the collective modes, which is absent in equilibrium.

Light-induced collective pseudospin precession resonating with Higgs mode in a superconductor

The method presented here paves a way toward nonlinear quantum optics in superconductor with driving the pseudospins collectively and can be potentially extended to exotic superconductors for shedding light on the character of order parameters and their coupling to other degrees of freedom.

Infrared Activation of the Higgs Mode by Supercurrent Injection in Superconducting NbN.

It is demonstrated that if the dc supercurrent is introduced into the superconductor, the Higgs mode becomes infrared active and is directly observed in the linear optical conductivity measurement.

Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads

We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and

Theory of transport through quantum-dot spin valves in the weak-coupling regime

We develop a theory of electron transport through quantum dots that are weakly coupled to ferromagnetic leads. The theory covers both the linear and nonlinear transport regime, takes non-collinear

Higgs modes in proximized superconducting systems

The proximity effect in hybrid superconducting - normal metal structures is shown to affect strongly the coherent oscillations of the superconducting order parameter $\Delta$ known as the Higgs

Charge and spin dynamics in interacting quantum dots

The transient response of a quantum dot with strong Coulomb interaction to a fast change in the gate potential, as well as the stationary ac response to a slow harmonic variation in the gate
...