Dynamics of a quantum system interacting with white non-Gaussian baths: Poisson noise master equation
arXiv:2312.00376 · doi:10.1103/PhysRevLett.132.170402
Abstract
Quantum systems are unavoidably open to their surrounding degrees of freedom. The theory of open quantum systems is thus crucial to understanding the fluctuations, dissipation, and decoherence of a quantum system of interest. Typically, the bath is modeled as an ensemble of harmonic oscillators, which yields Gaussian statistics of the bath influence on the quantum systems. However, there are also phenomena in which the bath consists of two-state systems, spins, or anharmonic oscillators; therefore, the non-Gaussian properties of the bath become important. Nevertheless, a theoretical framework to describe quantum systems under the influence of such non-Gaussian baths is not well established. Here, we develop a theory to describe quantum dissipative systems affected by Poisson noise properties of the bath, because the Lévi-Itô decomposition theorem asserts that Poisson noise is fundamental in describing arbitrary white noise beyond Gaussian properties. We introduce a quantum bath model that allows for the consistent description of dissipative quantum systems. The obtained master equation reveals non-Gaussian bath effects in the white noise regime, and provides an essential step toward describing open quantum dynamics under the influence of generic baths.
arXiv comment9 pages, 1 figure. (v2) 12 pages, 3 figures. Changed the title
References in corpus (32)
- Shot Noise in Mesoscopic Conductors
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Decoherence Free Subspaces for Quantum Computation
- Exceptional Topology of Non-Hermitian Systems
- Noiseless Quantum Codes
- 1/f noise: implications for solid-state quantum information
- Theory of the spin bath
- Towards understanding two-level-systems in amorphous solids -- Insights from quantum circuits
- Observation of Radiation Pressure Shot Noise on a Macroscopic Object
- The Quantum Absorption Refrigerator
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
- Universal Markovian reduction of Brownian particle dynamics
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Interacting two-level defects as sources of fluctuating high-frequency noise in superconducting circuits
- Coherence and Decoherence in Biological Systems: Principles of Noise Assisted Transport and the Origin of Long-lived Coherences
- A Unified Stochastic Formulation of Dissipative Quantum Dynamics. I. Generalized Hierarchical Equations
- Tensor-network method to simulate strongly interacting quantum thermal machines
- A Unified Stochastic Formulation of Dissipative Quantum Dynamics. II. Beyond Linear Response of Spin Baths
- Microwave detection of electron-phonon interactions in a cavity-coupled double quantum dot
- Initialization of quantum simulators by sympathetic cooling
- Simple master equations for describing driven systems subject to classical non-Markovian noise
- Double Quantum Dot Floquet Gain Medium
- Emergent symmetry in a double-quantum-dot circuit QED set-up
- Photon statistics of a double quantum dot micromaser: Quantum treatment
- The reaction coordinate mapping in quantum thermodynamics
- Probing electron-phonon interactions in the charge-photon dynamics of cavity-coupled double quantum dots
- Stochastic Feshbach Projection for the Dynamics of Open Quantum Systems
- Non-Markovian Quantum State Diffusion for Spin Environments
- Effect of Poisson noise on adiabatic quantum control
- Nonclassical radiation from a nonlinear oscillator driven solely by classical noise