Non-Markovian Dissipative Semiclassical Dynamics

Koch, Werner; Großmann, Frank; Stockburger, Jürgen T.; Ankerhold, Joachim

doi:10.1103/physrevlett.100.230402

Cited by 73 publications

(64 citation statements)

References 28 publications

(50 reference statements)

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“…However, the quantum-mechanical treatment of nonlinear open systems constitutes an ambitious challenge because in this case the system evolution cannot be handled analytically in an exact manner. This challenge, in principle, could be approached numerically, for example, (i) by resorting to the Floquet-Markov formalism [52], under the assumption of weak system-bath coupling; or (ii) by following the Feynmann-Vernon path integral formalism [29,37], to calculate the reduced density matrix numerically, through stochastic unraveling of the corresponding influence functional [53].…”

Section: Discussionmentioning

confidence: 99%

Geometric magnetism in open quantum systems

2012

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An isolated classical chaotic system, when driven by the slow change of several parameters, responds with two reaction forces: geometric friction and geometric magnetism. By using the theory of quantum fluctuation relations we show that this holds true also for open quantum systems, and provide explicit expressions for those forces in this case. This extends the concept of Berry curvature to the realm of open quantum systems. We illustrate our findings by calculating the geometric magnetism of a damped charged quantum harmonic oscillator transported along a path in physical space in presence of a magnetic field and a thermal environment. We find that in this case the geometric magnetism is unaffected by the presence of the heat bath.

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Section: Discussionmentioning

confidence: 99%

Geometric magnetism in open quantum systems

2012

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“…Therefore, HEOM can not be used for arbitrary spectral densities, requires ad hoc cutoff of the infinite iterative equations and the scaling of the method is nonlinear and unclear. In addition, approaches based on semiclassical path integral [15][16][17] , hybrid Ehrenfest and NIBA method 18 , iterative tensor product method 19,20 and quantum Brownian motion process 21,22 have been proposed recently and potentially can be used for the general spectral density cases.…”

Section: Introductionmentioning

confidence: 99%

A novel construction of complex-valued Gaussian processes with arbitrary spectral densities and its application to excitation energy transfer

Chen

Cao

Silbey

2013

The Journal of Chemical Physics

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The recent experimental discoveries about excitation energy transfer (EET) in light harvesting antenna (LHA) attract a lot of interest. As an open non-equilibrium quantum system, the EET demands more rigorous theoretical framework to understand the interaction between system and environment and therein the evolution of reduced density matrix. A phonon is often used to model the fluctuating environment and convolutes the reduced quantum system temporarily. In this paper, we propose a novel way to construct complex-valued Gaussian processes to describe thermal quantum phonon bath exactly by converting the convolution of influence functional into the time correlation of complex Gaussian random field. Based on the construction, we propose a rigorous and efficient computational method, the covariance decomposition (CD) and conditional propagation scheme, to simulate the temporarily entangled reduced system.The new method allows us to study the non-Markovian effect without perturbation under the influence of different spectral densities of the linear system-phonon coupling coefficients. Its application in the study of EET in the Fenna-Matthews-Olson (FMO) model Hamiltonian under four different spectral densities is discussed. Since the scaling of our algorithm is linear due to its Monte Carlo nature, the future application of the method for large LHA systems is attractive. In addition, this method can be used to study the effect of correlated initial condition on the reduced dynamics in the future.

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“…A variety of methods has been developed [61], each with different assumptions and hence a different range of applicability. They include time-local non-Markovian master equations [55], stochastic unravellings [62][63][64], and an auxiliary density matrix approach [65]. A common feature of these methods is their ability to correctly describe thermalization of the system.…”

Section: A Markovian Vs Non-markovian Dynamicsmentioning

confidence: 99%

Controlling open quantum systems: tools, achievements, and limitations

Koch

2016

J. Phys.: Condens. Matter

237

218

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The advent of quantum devices, which exploit the two essential elements of quantum physics, coherence and entanglement, has sparked renewed interest in the control of open quantum systems. Successful implementations face the challenge to preserve the relevant nonclassical features at the level of device operation. A major obstacle is decoherence which is caused by interaction with the environment. Optimal control theory is a tool that can be used to identify control strategies in the presence of decoherence. We review here recent advances in optimal control methodology that allow for tackling typical tasks in device operation for open quantum systems and discuss examples of relaxation-optimized dynamics. Optimal control theory is also a useful tool to exploit the environment for control. We discuss examples and point out possible future extensions.

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Non-Markovian Dissipative Semiclassical Dynamics

Cited by 73 publications

References 28 publications

Geometric magnetism in open quantum systems

Geometric magnetism in open quantum systems

A novel construction of complex-valued Gaussian processes with arbitrary spectral densities and its application to excitation energy transfer

Controlling open quantum systems: tools, achievements, and limitations

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