Nature and Origin of Operators Entering the Master Equation of an Open Quantum System

@article{Spaventa2022NatureAO,
  title={Nature and Origin of Operators Entering the Master Equation of an Open Quantum System},
  author={Giovanni Spaventa and Paola Verrucchi},
  journal={Open Syst. Inf. Dyn.},
  year={2022},
  volume={29},
  pages={2250010:1-2250010:18}
}
By exploiting the peculiarities of a recently introduced formalism for describing open quantum systems (the parametric representation with environmental coherent states) we derive an equation of motion for the reduced density operator of an open quantum system that has the same structure of the celebrated Gorini–Kossakowski–Sudarshan–Lindblad equation, but holds regardless of Markovianity being assumed. The operators in our result have explicit expressions in terms of the Hamiltonian describing… 

Figures from this paper

Benchmarking the cosmological master equations

Master equations are commonly employed in cosmology to model the effect of additional degrees of freedom, treated as an “environment”, onto a given “system”. However, they rely on assumptions that

References

SHOWING 1-10 OF 35 REFERENCES

The Complexity of Relating Quantum Channels to Master Equations

It is shown that if the system dimension is fixed (relevant for current quantum process tomography experiments), then the algorithm scales efficiently in the required precision, allowing an underlying Lindblad master equation to be determined efficiently from even a single snapshot in this case.

Parametric representation of open quantum systems and cross-over from quantum to classical environment

An approach to open quantum systems that allows us to follow the cross-over from quantum to classical environments is proposed, and an exact parametric representation of the principal system is devised, based on generalized coherent states for the environment.

Dynamics of Open Quantum Systems Using Parametric Representation with Coherent States

This work presents an alternative description, which is still nonsymmetric but yet exact: It is based on a parametric representation of composite systems, as obtained by introducing environmental coherent states, such that the principal system get to be described by a set of pure states parametrically dependent on environmental variables.

Quantum dynamics of a macroscopic magnet operating as an environment of a mechanical oscillator

We study the dynamics of a bipartite quantum system in a way such that its formal description keeps holding even if one of its parts becomes macroscopic: the problem is related with the analysis of

Whenever a quantum environment emerges as a classical system, it behaves like a measuring apparatus

We study the dynamics of a quantum system Γ with an environment Ξ made of N elementary quantum components. We aim at answering the following questions: can the evolution of Γ be characterized by some

From a quantum theory to a classical one

This paper provides the essential elements of Yaffe's approach in the framework of standard quantum mechanics, and addresses the role played by a possible global symmetry in making the large- N limit of the original quantum theory to flow into a formally well-defined classical theory.

Direct reconstruction of the quantum-master-equation dynamics of a trapped-ion qubit

The physics of Markovian open quantum systems can be described by quantum master equations. These are dynamical equations that incorporate the Hamiltonian and jump operators and generate the system's

On the macroscopic limit of quantum systems

: Classical physics is approached from quantum mechanics in the macroscopic limit. The technical device to achieve this goal is the quantum version of the central limit theorem, derived for an

Universal Spectra of Random Lindblad Operators.

An ensemble of random Lindblad operators, which generate completely positive Markovian evolution in the space of the density matrices, are introduced and the spectral properties of these operators are evaluated by using methods of free probabilities and explained with non-Hermitian random matrix models.

Robust method for estimating the Lindblad operators of a dissipative quantum process from measurements of the density operator at multiple time points

We present a robust method for quantum process tomography, which yields a set of Lindblad operators that optimally fit the density operators measured at a sequence of time points. The benefits of