Dissipative features of the driven spin-fermion system

Chen, Ruofan; Xu, Xiansong

doi:10.1103/physrevb.100.115437

Cited by 3 publications

(2 citation statements)

References 79 publications

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“…where α, β are the bath indices. With such a system-bath coupling the momentum dependence of the scattering potential is neglected [52][53][54][55][56][57]. In particular, only interbath system-bath coupling is under consideration.…”

Section: Model and Methodsmentioning

confidence: 99%

“…Segal et al generalized this method to the timeindependent spin-fermion model by adopting a discretized scheme for tracing out the bath [52,[62][63][64][65]. Chen and Xu applied this scheme to study the monochromatically driven spin-fermion model and gave a comparison between the path integral method and the Floquet master equation [57]. This scheme is also adopted in this article.…”

Section: Model and Methodsmentioning

confidence: 99%

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Landau-Zener transitions in a fermionic dissipative environment

Chen

2020

Phys. Rev. B

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We study Landau-Zener transitions in a fermionic dissipative environment where a two-level (up and down states) system is coupled to two metallic leads kept with different chemical potentials at zero temperature. The dynamics of the system is simulated by an iterative numerically exact influence functional path integral method. In the pure Landau-Zener problem, two kinds of transition (from up to down state and from down to up state) probability are symmetric. However, this symmetry is destroyed by coupling the system to the bath. In addition, in both kinds of transitions, there exists a nonmonotonic dependence of the transition probability on the sweep velocity; meanwhile nonmonotonic dependence of the transition probability on the system-bath coupling strength is only shown in one of them. As in the spin-boson model, these phenomena can be explained by a simple phenomenological model.

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Section: Model and Methodsmentioning

confidence: 99%

Section: Model and Methodsmentioning

confidence: 99%

Landau-Zener transitions in a fermionic dissipative environment

Chen

2020

Phys. Rev. B

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Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations

Xu,

Guo,

Chen

2024

The Journal of Chemical Physics

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Developing numerical exact solvers for open quantum systems is a challenging task due to the non-perturbative and non-Markovian nature when coupling to structured environments. The Feynman–Vernon influence functional approach is a powerful analytical tool to study the dynamics of open quantum systems. Numerical treatments of the influence functional including the quasi-adiabatic propagator technique and the tensor-network-based time-evolving matrix product operator method have proven to be efficient in studying open quantum systems with bosonic environments. However, the numerical implementation of the fermionic path integral suffers from the Grassmann algebra involved. In this work, we present a detailed introduction to the Grassmann time-evolving matrix product operator method for fermionic open quantum systems. In particular, we introduce the concepts of Grassmann tensor, signed matrix product operator, and Grassmann matrix product state to handle the Grassmann path integral. Using the single-orbital Anderson impurity model as an example, we review the numerical benchmarks for structured fermionic environments for real-time nonequilibrium dynamics, real-time and imaginary-time equilibration dynamics, and its application as an impurity solver. These benchmarks show that our method is a robust and promising numerical approach to study strong coupling physics and non-Markovian dynamics. It can also serve as an alternative impurity solver to study strongly correlated quantum matter with dynamical mean-field theory.

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Heat current in non-Markovian open systems

Chen

2023

New J. Phys.

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We generalize time-evolving matrix product operators method to nonequilibrium quantum transport problems. The nonequilibrium current is obtained via numerical differentiation of the generating functional which is represented as a tensor network. The approach is numerically exact and the non-Markovian effects are fully taken into account. In the transport process, a part of the heat that flows out from a bath flows into the system and other baths, and the rest is stored in the system-bath coupling part. We take the spin-boson model as a demonstration to show the details of this heat flowing and the establishment of a steady current between two baths.

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Dissipative features of the driven spin-fermion system

Cited by 3 publications

References 79 publications

Landau-Zener transitions in a fermionic dissipative environment

Landau-Zener transitions in a fermionic dissipative environment

Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations

Heat current in non-Markovian open systems

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