Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

Agarwalla, Bijay Kumar; Kulkarni, Manas; Mukamel, Shaul; Segal, Dvira

doi:10.1103/physrevb.94.035434

Cited by 18 publications

(13 citation statements)

References 72 publications

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“…Therefore, we end up with the well-known expression of the equilibrium susceptibility in Eq. (46). This picture is numerically confirmed for the case of the finite but small frequency Ω in Sec.…”

Section: B Spin and Charge Susceptibilitiessupporting

confidence: 66%

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Nonequilibrium susceptibility in photoinduced Floquet states

Ono

Ishihara

2019

Phys. Rev. B

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Nonequilibrium susceptibility in photoinduced Floquet states is studied. We analyze an electron system coupled with a heat bath in a time-periodic oscillating electric field. Spin/charge susceptibility is formulated on the basis of the Floquet Green function method, and is calculated numerically in a wide range of amplitude and frequency of light. When the frequency is larger than the bandwidth, the susceptibility is enhanced due to the dynamical localization effect, and their peak positions in the momentum space are shifted by the Fermi surface deformation. In the case of the small frequency and amplitude, multiple-peak structure emerges in the susceptibility, originating from the multiple Floquet bands which cross the Fermi level. To confirm those numerical results and provide the interpretation, an approximated expression of the susceptibility is derived for small electric-field amplitude. arXiv:1811.03386v1 [cond-mat.str-el]

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Section: B Spin and Charge Susceptibilitiessupporting

confidence: 66%

“…II C, the suscepbitility in the steady state is approximately understood from Eq. (46). Here, we rewrite Eq.…”

Section: A Two-dimensional Square Latticementioning

confidence: 99%

Nonequilibrium susceptibility in photoinduced Floquet states

Ono

Ishihara

2019

Phys. Rev. B

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“…NEGF is a powerful tool to study transport properties of out-of-equilibrium many-body quantum systems. Within the NEGF method, there are several well established approaches to compute Green's functions, like the Keldysh diagrammatic method [56,57], and the equation-of-motion (EOM) technique [41,58,59]. Here we adopt the EOM approach to compute the Green's functions.…”

Section: A Negf Formalismmentioning

confidence: 99%

Quantum entanglement and transport in a non-equilibrium interacting double-dot system: the curious role of degeneracy

Dey

Bhakuni

Agarwalla

et al. 2019

J. Phys.: Condens. Matter

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We study quantum entanglement and its relation to transport in a non-equilibrium interacting double dot system connected to electronic baths. The dynamical properties in the non-interacting regime are studied using an exact numerical approach whereas the steady state properties are obtained following the well-known non-equilibrium Green's function (NEGF) approach. By means of mutual information and concurrence we explore the connection between the quantum correlations in the system and the current flowing through the dots. It is observed that entanglement between the dots is heavily influenced by the degeneracy or the lack thereof, of the dot levels. In the non-degenerate case, the concurrence falls sharply when the applied bias crosses a certain critical value. In contrast when the dot energy levels are degenerate, the concurrence reaches a very high asymptotic value of 1/2. When interactions are switched on, the degeneracy is lifted, and once again concurrence falls to zero beyond a critical value of the applied bias. Lastly it is observed that the concurrence can be made to reach almost the value of 1.0 if the chemical potential in both baths are made very large (while keeping the sign the same) provided the dot levels are kept degenerate within the non-interacting limit. A combination of NEGF method, brute-force numerics and asymptotics are employed to corroborate our findings. arXiv:1902.00474v2 [cond-mat.mes-hall]

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“…) [112,113]. For the calculation of the phonon self-energy, P , we will analyze two different approximations.…”

Section: Effects Of Correlation Beyond Hartree Approximationmentioning

confidence: 99%

Transient dynamics in interacting nanojunctions within self-consistent perturbation theory

et al. 2018

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We present an analysis of the transient electronic and transport properties of a nanojunction in the presence of electron-electron and electron-phonon interactions. We introduce a novel numerical approach which allows for an efficient evaluation of the non-equilibrium Green functions in the time domain. Within this approach we implement different self-consistent diagrammatic approximations in order to analyze the system evolution after a sudden connection to the leads and its convergence to the steady state. These approximations are tested by comparison with available numerically exact results, showing good agreement even for the case of large interaction strength. In addition to its methodological advantages, this approach allows us to study several issues of broad current interest like the build up in time of Kondo correlations and the presence or absence of bistability associated with electron-phonon interactions. We find that, in general, correlation effects tend to remove the possible appearance of charge bistability.

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Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

Cited by 18 publications

References 72 publications

Nonequilibrium susceptibility in photoinduced Floquet states

Nonequilibrium susceptibility in photoinduced Floquet states

Quantum entanglement and transport in a non-equilibrium interacting double-dot system: the curious role of degeneracy

Transient dynamics in interacting nanojunctions within self-consistent perturbation theory

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