Classical-quantum correspondence in the noise-based dissipative systems
arXiv:2408.03543 · doi:10.1103/PhysRevA.110.062219
Abstract
We investigate the correspondence between classical noise and quantum environments. Although it has been known that the classical noise can be mapped to the quantum environments only for pure dephasing and infinite-temperature dissipation processes, we describe that this limitation can be circumvented by introducing auxiliary systems and conservation. Taking a two-level system as an example, we construct the so-called central spin model with its couplings fluctuating as the classical noise, and then acquire its statistical-average dynamics which captures the dissipations beyond the infinite temperature. By adjusting the number of the auxiliary systems and their initial states, the noise-based model reproduces both Markovian and non-Markovian evolutions. It is also found that different quantities of the two-level system are governed by different model parameters, indicating that the constructed model is an efficient simulator for specific observables, rather than an equivalent form of a realistic open system. In addition, the model is also applicable to investigate topical mechanisms of the open systems, e.g. negative temperatures and asymmetric equidistant quenches.
8 pages, 3 figures
References in corpus (37)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Many-body localization, thermalization, and entanglement
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Environment-Assisted Quantum Transport
- A short introduction to the Lindblad Master Equation
- Eigenstate Thermalization Hypothesis
- Ion-trap measurements of electric-field noise near surfaces
- Foundations and Measures of Quantum Non-Markovianity
- Environment-assisted quantum transport in a 10-qubit network
- Reduction of anomalous heating in an in-situ-cleaned ion trap
- Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
- Decoherence in qubits due to low-frequency noise
- Coherence of qubits based on single Ca ions
- Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
- Quantum simulation of photosynthetic energy transfer
- Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling
- Environmental noise spectroscopy with qubits subjected to dynamical decoupling
- Studying Light-Harvesting Models with Superconducting Circuits
- Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
- Faster uphill relaxation in thermodynamically equidistant temperature quenches
- When is a non-Markovian quantum process classical?
- Coherence and non-classicality of quantum Markov processes
- Classical quantum stochastic processes
- Magnetic field stabilization system for atomic physics experiments
- On the accuracy of surface hopping dynamics in condensed phase non-adiabatic problems
- Anomalies of weakened decoherence criteria for quantum histories
- Enabling quantum non-Markovian dynamics by injection of classical colored noise
- When can quantum decoherence be mimicked by classical noise?
- Non-Markovian effects in the spin-boson model at zero temperature
- First Principles Numerical Demonstration of Emergent Decoherent Histories
- Measuring trajectories of environmental noise
- Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
- Can decay be ascribed to classical noise?
- On the classicality of quantum dephasing processes
- Objectivity of classical quantum stochastic processes
- Unified dynamic approach for simulating quantum tunneling and thermionic emission at metal/organic interface