When can quantum decoherence be mimicked by classical noise?

Abstract

Quantum decoherence arises due to uncontrollable entanglement between a system with its environment. However the effects of decoherence are often thought of and modeled through a simpler picture in which the role of the environment is to introduce classical noise in the system's degrees of freedom. Here we establish necessary conditions that the classical noise models need to satisfy to quantitatively model the decoherence. Specifically, for pure-dephasing processes we identify well-defined statistical properties for the noise that are determined by the quantum many-point time correlation function of the environmental operators that enter into the system-bath interaction. In particular, for the exemplifying spin-boson problem with a Lorentz-Drude spectral density we show that the high-temperature quantum decoherence is quantitatively mimicked by colored Gaussian noise. In turn, for dissipative environments we show that classical noise models cannot describe decoherence effects due to spontaneous emission induced by a dissipative environment. These developments provide a rigorous platform to assess the validity of classical noise models of decoherence.

References in corpus (19)

• Observation of the Quantum Zeno and Anti-Zeno effects in an unstable system
• Unification of Dynamical Decoupling and the Quantum Zeno Effect
• Atomistic study of the long-lived quantum coherences in the Fenna-Matthews-Olson complex
• Decoherence and the Loschmidt echo
• Loschmidt Echo
• Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Reduced hierarchy equations of motion approach with Drude plus Brownian spectral distribution: Probing electron transfer processes by means of two- dimensionalcorrelation spectroscopy
• A Unified Stochastic Formulation of Dissipative Quantum Dynamics. I. Generalized Hierarchical Equations
• Converting a real quantum bath to an effective classical noise
• Engineering decoherence for two-qubit systems interacting with a classical environment
• Enabling quantum non-Markovian dynamics by injection of classical colored noise
• Highly-efficient noise-assisted energy transport in classical oscillator systems
• Laser-induced currents along molecular wire junctions
• Lessons on electronic decoherence in molecules from exact modeling
• Femtosecond dynamics and laser control of charge transport in trans-polyacetylene
• Electronic coherence dynamics in trans-polyacetylene oligomers
• Can decay be ascribed to classical noise?

Cited by in corpus (19)

• Probing the coherence of solid-state qubits at avoided crossings
• Analog Quantum Simulation of the Dynamics of Open Quantum Systems with Quantum Dots and Microelectronic Circuits
• Distinguishing between quantum and classical Markovian dephasing dissipation
• Noise representations of open system dynamics
• Fourier Transform Noise Spectroscopy
• Simulating open-system molecular dynamics on analog quantum computers
• Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping
• Decoherence dynamics in molecular qubits: Exponential, Gaussian and beyond
• From Stochastic Hamiltonian to Quantum Simulation: Exploring Memory Effects in Exciton Dynamics
• Quantum decoherence dynamics in stochastically fluctuating environments
• Quantifying environment non-classicality in dissipative open quantum dynamics
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• Classical-quantum correspondence in the noise-based dissipative systems
• Role of the filter functions in noise spectroscopy
• Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits
• On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
• Amplitude Amplification and Estimation using a Floquet system
• Quantum distinguishability measures: projectors vs. states maximization
• Dephasing versus collapse: Lessons from the tight-binding model with noise