Full counting statistics for electron transport in periodically driven quantum dots

Honeychurch, Thomas D.; Kosov, Daniel S.

doi:10.1103/physrevb.102.195409

Cited by 14 publications

(11 citation statements)

References 92 publications

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“…We use a Floquet nonequilibrium Green's function approach to solve the equations of motion, assuming the periodicity of the system's dynamics [20][21][22][23][24] . Within this context, Green's functions are periodic in the central time,…”

Section: B Floquet Approachmentioning

confidence: 99%

“…While particles cannot move between systems, the capacitive coupling between the dots allows energy transfer through the system. We make use of a Floquet nonequilibrium Green's functions approach [20][21][22][23][24] , allowing for the exploration of nonadiabatic drivings. The Coulomb interaction is handled with self-consistent perturbation theory, using the fluctuationexchange (FLEX) approximation 25 .…”

Section: Introductionmentioning

confidence: 99%

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Quantum transport in driven systems with vibrations: Floquet nonequilibrium Green's functions and the self-consistent Born approximation

Honeychurch

Kosov

2023

Phys. Rev. B

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We study the dynamics of two capacitively coupled quantum dots, each coupled to a lead. A Floquet Green's function approach described the system's dynamics, with the electron-electron interactions handled with the fluctuation-exchange approximation. While electrons cannot move between the separate sections of the device, energy transfer occurs with the periodic driving of one of the leads. This process was found to be explained with four stages. The energy transfer was also found to be sensitive to the driving frequency of the leads, with an optimal frequency corresponding to the optimal completion of the four stages of the identified process.

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Section: B Floquet Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum transport in driven systems with vibrations: Floquet nonequilibrium Green's functions and the self-consistent Born approximation

Honeychurch

Kosov

2023

Phys. Rev. B

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“…Instead, the detailed relaxation dynamics are more complicated and depend on various factors such as the bandwidth of the leads and the bias voltage profile. Further information, such as electron waiting time distributions, queueing behavior and time-dependent Fano factors, can also be gathered from the full-counting statistics (FCS) [236,237,343,344].…”

Section: Electronic Transportmentioning

confidence: 99%

A many-body approach to transport in quantum systems: from the transient regime to the stationary state

Ridley

Talarico

Karlsson

et al. 2022

J. Phys. A: Math. Theor.

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We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss non-equilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive -- encompassing pump--probe scenarios as well as driven quantum systems -- we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system. As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one- and two-dimensional electronic systems, systems with electron--phonon couplings, topological superconductors, and optically responsive molecular junctions where electron--photon couplings are relevant.

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“…Instead, the detailed relaxation dynamics are more complicated and depend on various factors such as the bandwidth of the leads and the bias voltage profile. Further information, such as electron waiting time distributions, queueing behaviour and time-dependent Fano factors, can also be gathered from the full-counting statistics (FCS) [237,238,297,298].…”

Section: Electronic Transportmentioning

confidence: 99%

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

Ridley,

Talarico,

Karlsson

et al. 2022

Preprint

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We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss nonequilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive -encompassing pump-probe scenarios as well as driven quantum systems -we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system.As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one-and two-dimensional electronic systems, systems with electron-phonon couplings, topological superconductors, and optically responsive molecular junctions where electron-photon couplings are relevant.

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Full counting statistics for electron transport in periodically driven quantum dots

Cited by 14 publications

References 92 publications

Quantum transport in driven systems with vibrations: Floquet nonequilibrium Green's functions and the self-consistent Born approximation

Quantum transport in driven systems with vibrations: Floquet nonequilibrium Green's functions and the self-consistent Born approximation

A many-body approach to transport in quantum systems: from the transient regime to the stationary state

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

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