Accessing the bath information in open quantum systems with the stochastic c -number Langevin equation method

@article{Zhou2019AccessingTB,
  title={Accessing the bath information in open quantum systems with the stochastic 
c
-number Langevin equation method},
  author={Zheng Zhou and Yun-An Yan and Stephen Hughes and J. Q. You and Franco Nori},
  journal={Physical Review A},
  year={2019}
}
In traditional open quantum systems, the baths are usually traced out so that only the system information is left in the equations of motion. However, recent studies reveal that using only the system degrees of freedom can be insufficient. In this work, we develop a stochastic c-number Langevin equation method which can conveniently access the bath information. In our method, the studied quantities are the expectation values of operators which can contain both system operators and bath… 

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Mauro Cirio ,1,* Po-Chen Kuo ,2,3 Yueh-Nan Chen ,2,3 Franco Nori ,4,5,6 and Neill Lambert 4,† 1Graduate School of China Academy of Engineering Physics, Haidian District, Beijing 100193, China

References

SHOWING 1-10 OF 105 REFERENCES

A unified stochastic formulation of dissipative quantum dynamics. II. Beyond linear response of spin baths.

The present methodology allows a systematic incorporation of higher-order anharmonic effects of the bath in dynamical calculations and investigates the leading order corrections to the linear response approximations for spin bath models.

Stochastic description of quantum Brownian dynamics

Classical Brownian motion has well been investigated since the pioneering work of Einstein, which inspired mathematicians to lay the theoretical foundation of stochastic processes. A stochastic

Dynamics of a quantum two-state system in a linearly driven quantum bath

When an open quantum system is driven by an external time-dependent force, the coupling of the driving to the central system is usually included, whereas the impact of the driving field on the bath

Heat-exchange statistics in driven open quantum systems

As the dimensions of physical systems approach the nanoscale, the laws of thermodynamics must be reconsidered due to the increased importance of fluctuations and quantum effects. While the

Exact dynamics of a quantum dissipative system in a constant external field.

  • SunYu.
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1995
The general effective Hamiltonian for an arbitrary potential is directly derived with this method for the case when the Brownian motion can be ignored, and an interesting result that the dissipation suppresses the wave-packet spreading is shown.

A unified stochastic formulation of dissipative quantum dynamics. I. Generalized hierarchical equations.

A standard stochastic theory is extended to study open quantum systems coupled to a generic quantum environment by studying a two-level quantum system coupled bilinearly to the three fundamental classes of non-interacting particles: bosons, fermions, and spins.

Decoupling quantum dissipation interaction via stochastic fields.

  • J. Shao
  • Physics
    The Journal of chemical physics
  • 2004
This work manipulates the Hubbard-Stratonovich transformation to establish a novel theoretical methodology by which the reduced density matrix is formulated as an ensemble average of its random realizations in the auxiliary white noise fields.

Time Evolution of a Quantum System in Contact with a Nearly Gaussian-Markoffian Noise Bath

A test system is assumed to interact with a heat bath consisting of harmonic oscillators or an equivalent bath with a proper frequency spectrum producing a Gaussian-Markoffian random perturbation.

Spin squeezing under non-Markovian channels by the hierarchy equation method

We study spin squeezing under non-Markovian channels, and consider an ensemble of $N$ independent spin-1/2 particles with exchange symmetry. Each spin interacts with its own bath, and the baths are

A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots

We develop a versatile master equation approach to describe the nonequilibrium dynamics of a two-level system in contact with a bosonic environment, which allows for the exploration of a wide range
...