Transient transport spectroscopy of an interacting quantum dot proximized by a superconductor: Charge and heat currents after a switch

Ortmanns, Lara C.; Splettstoesser, Janine; Wegewijs, Maarten R.

doi:10.1103/physrevb.108.085426

Cited by 4 publications

(15 citation statements)

References 79 publications

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“…Such constraints are extremely valuable for more complicated systems of practical interest for which an intuitive analysis of analytical results is essentially ruled out whenever various physical effects stand in competition. Indeed, such an analysis of the problem solved here has motivated the present work [19].…”

Section: Introductionmentioning

confidence: 92%

“…In fact, the initial state ρ 0 depends on these parameters but in a way that varies with the choice of physical preparation procedure. When analysing and comparing the state and transport dynamics relevant to possible specific experiments this requires separate attention and is considered elsewhere [19].…”

Section: Proximized Quantum Dotmentioning

confidence: 99%

“…This issue has received little attention so far but is essential for the physical predictions as discussed in detail in Ref. [19]. The duality-based solution required for that analysis is presented here and applies independent of the way these initial conditions are realized.…”

Section: Introductionmentioning

confidence: 97%

“…Here we consider any given initial state that is a mixed state in the energy eigenbasis [Eq. (19)], independent of the details of its preparation considered elsewhere [19].…”

Section: Introductionmentioning

confidence: 99%

“…The obtained new "variables" in which the problem can be expressed are invaluable for any detailed analysis of the full time dependence of its solution addressing both the decay rates and the amplitudes in dependence of the initial state and the observables of interest. This detailed analysis combined with numerical calculations is presented elsewhere [19]. Here we focus on the required analytical considerations and calculation of the results.…”

Section: Introductionmentioning

confidence: 99%

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

2023

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We analyze the time-dependent solution of master equations by exploiting fermionic duality, a dissipative symmetry applicable to a large class of open systems describing quantum transport. Whereas previous studies mostly exploited duality relations after partially solving the evolution equations, we here systematically exploit the invariance under the fermionic duality mapping from the very beginning when setting up these equations. Moreover, we extend the resulting simplifications -so far applied to the local state evolution- to non-local observables such as transport currents. We showcase the exploitation of fermionic duality for a quantum dot with strong interaction -covering both the repulsive and attractive case- proximized by contact with a large-gap superconductor which is weakly probed by charge and heat currents into a wide-band normal-metal electrode. We derive the complete time-dependent analytical solution of this problem involving non-equilibrium Cooper pair transport, Andreev bound states and strong interaction. Additionally exploiting detailed balance we show that even for this relatively complex problem the evolution towards the stationary state can be understood analytically in terms of the stationary state of the system itself via its relation to the stationary state of a dual system with inverted Coulomb interaction, superconducting pairing and applied voltages.

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Section: Introductionmentioning

confidence: 92%

Section: Proximized Quantum Dotmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

“…Here we consider any given initial state that is a mixed state in the energy eigenbasis [Eq. (19)], independent of the details of its preparation considered elsewhere [19].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

2023

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Unveiling hidden scaling relations in dissipative relaxation dynamics of strongly correlated quantum impurity systems

Ding,

Zhang,

Zhang

et al. 2024

The Journal of Chemical Physics

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Understanding the time evolution of strongly correlated open quantum systems (OQSs) in response to perturbations (quenches) is of fundamental importance to the precise control of quantum devices. It is, however, rather challenging in multi-impurity quantum systems because such evolution often involves multiple intricate dynamical processes. In this work, we apply the numerically exact hierarchical equations of motion approach to explore the influence of two different types of perturbations, i.e., sudden swapping of the energy levels of impurity systems and activating the inter-impurity spin-exchange interaction, on the dissipation dynamics of the Kondo-correlated two-impurity Anderson model over a wide range of energetic parameters. By evaluating the time-dependent impurity spectral function and other system properties, we analyze the time evolution of the Kondo state in detail and conclude a phenomenologically scaling relation for Kondo dynamics driven by these perturbations. The evolutionary scaling relationship is not only related to the Kondo characteristic energy TK but also significantly affected by the simultaneous non-Kondo dynamic characteristic energy. We expect these results will inspire subsequent theoretical studies on the dynamics of strongly correlated OQSs.

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Transient effects in quantum dots contacted via topological superconductor

Taranko,

Wrześniewski,

Weymann

et al. 2024

Phys. Rev. B

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Transient transport spectroscopy of an interacting quantum dot proximized by a superconductor: Charge and heat currents after a switch

Cited by 4 publications

References 79 publications

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

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

Unveiling hidden scaling relations in dissipative relaxation dynamics of strongly correlated quantum impurity systems

Transient effects in quantum dots contacted via topological superconductor

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