Nonperturbative spin–boson and spin–spin dynamics and nonlinear Fano interferences: A unified dissipaton theory based study

Based on the Yan's dissipaton equation of motion (DEOM) theory [J. Chem. Phys. 140, 054105 (2014)], we investigate the characteristic features of current noise spectrum in several typical transport regimes of a single-impurity Anderson model. Many well-known features such as Kondo features are correctly recovered by our DEOM calculations. More importantly, it is revealed that the intrinsic electron cotunneling process is responsible for the characteristic signature of current noise at anti-Stokes frequency. We also identify completely destructive interference in the noise spectra of noninteracting systems with two degenerate transport channels.

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“…26 25,44 have also been constructed via the dissipaton algebra but with different permutation relations from Eq. (13).…”

Section: Dissipaton Equations Of Motionmentioning

confidence: 99%

Current noise spectra and mechanisms with dissipaton equation of motion theory

Jin

Wang

Zheng

et al. 2015

The Journal of Chemical Physics

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“…Traditionally this problem was addressed with the "core-system" approach. [1][2][3][4][5][6] This is to divide the overall environment into the "first-shell" and "secondary" parts. The core-system comprises both the primary system and the first-shell hybrid bath solvation modes.…”

mentioning

confidence: 99%

“…Various approximate theories such as quantum master equations had been applied to treat the reduced core-system dynamics under the influence of the secondary bath environments. [1][2][3][4][5][6] As exact methods are concerned, one often exploits the hierarchical-equations-of-motion (HEOM) formalism. 7-12 This is the time-derivative equivalence to the Feynman-Vernon influence functional path integral formalism, 13 which is exact for arbitrary systems coupling with Gaussian environments.…”

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confidence: 99%

Entangled system-and-environment dynamics: Phase–space dissipaton theory

Wang

Yan

2020

The Journal of Chemical Physics

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Dissipaton-equation-of-motion (DEOM) theory [Y. J. Yan, J. Chem. Phys. 140, 054105 (2014)] is an exact and nonperturbative many-particle method for open quantum systems. The existing dissipaton algebra treats also the dynamics of hybrid bath solvation coordinates. The dynamics of conjugate momentums remain to be addressed within the DEOM framework. In this work, we establish this missing ingredient, the dissipaton algebra on solvation momentums, with rigorous validations against necessary and sufficient criteria. The resulted phase-space DEOM theory will serve as a solid ground for further developments of various practical methods toward a broad range of applications. We illustrate this novel dissipaton algebra with the phase-space DEOM-evaluation on heat current fluctuation.

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“…Dynamical variables in DEOM are the dissipaton density operators (DDOs), for both the reduced system and and the hybrid bath dynamics. 10,11 The latter could also be measured experimentally, via such as the Fano interference, [12][13][14][15][16] vibronic spectroscopy with non-Condon polarized environment, 17 and transport current noise spectrum. 18 Dissipaton algebra plays essential roles here.…”

Section: Introductionmentioning

confidence: 99%

Theory of Quantum Dissipation in a Class of Non-Gaussian Environments

Xu¹,

Liu²,

Zhang³

et al. 2017

Chinese Journal of Chemical Physics

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In this work we construct a novel dissipaton-equation-of-motion (DEOM) theory in quadratic bath coupling environment, based an extended algebraic statistical quasi-particle approach. To validate the new ingredient of the underlying dissipaton algebra, we derive an extended Zusman equation via a totally different approach. We prove that the new theory, if it starts with the identical setup, constitutes the dynamical resolutions to the extended Zusman equation. Thus, we verify the generalized (non-Gaussian) Wick's theorem with dissipatons-pair added. This new algebraic ingredient enables the dissipaton approach being naturally extended to nonlinear coupling environments. Moreover, it is noticed that, unlike the linear bath coupling case, the influence of a non-Gaussian environment cannot be completely characterized with the linear response theory. The new theory has to take this fact into account. The developed DEOM theory manifests the dynamical interplay between dissipatons and nonlinear bath coupling descriptors that will be specified. Numerical demonstrations will be given with the optical line shapes in quadratic coupling environment.

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Nonperturbative spin–boson and spin–spin dynamics and nonlinear Fano interferences: A unified dissipaton theory based study

Cited by 47 publications

References 54 publications

Current noise spectra and mechanisms with dissipaton equation of motion theory

Current noise spectra and mechanisms with dissipaton equation of motion theory

Entangled system-and-environment dynamics: Phase–space dissipaton theory

Theory of Quantum Dissipation in a Class of Non-Gaussian Environments

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