Dynamics of quantum correlations in colored environments

Abstract

We address the dynamics of entanglement and quantum discord for two non interacting qubits initially prepared in a maximally entangled state and then subjected to a classical colored noise, i.e. coupled with an external environment characterized by a noise spectrum of the form $1/f^{\alpha }$. More specifically, we address systems where the Gaussian approximation fails, i.e. the sole knowledge of the spectrum is not enough to determine the dynamics of quantum correlations. We thus investigate the dynamics for two different configurations of the environment: in the first case the noise spectrum is due to the interaction of each qubit with a single bistable fluctuator with an undetermined switching rate, whereas in the second case we consider a collection of classical fluctuators with fixed switching rates. In both cases we found analytical expressions for the time dependence of entanglement and quantum discord, which may be also extended to a collection of flcutuators with random switching rates. The environmental noise is introduced by means of stochastic time-dependent terms in the Hamiltonian and this allows us to describe the effects of both separate and common environments. We show that the non-Gaussian character of the noise may lead to significant effects, e.g. environments with the same power spectrum, but different configurations, give raise to opposite behavior for the quantum correlations. In particular, depending on the characteristics of the environmental noise considered, both entanglement and discord display either a monotonic decay or the phenomena of sudden death and revivals. Our results show that the microscopic structure of environment, besides its noise spectrum, is relevant for the dynamics of quantum correlations, and may be a valid starting point for the engineering of non-Gaussian colored environments.

8 pages, 3 figures

References in corpus (34)

• Finite-Time Disentanglement via Spontaneous Emission
• Coupling Superconducting Qubits via a Cavity Bus
• Quantum discord and the power of one qubit
• Sudden Death of Entanglement
• Experimental quantum computing without entanglement
• Non-Markovian effects on the dynamics of entanglement
• Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
• Robustness of quantum discord to sudden death
• Classical and quantum correlations under decoherence
• Decoherence of flux qubits due to 1/f flux noise
• Dark periods and revivals of entanglement in a two qubit system
• Sudden death and sudden birth of entanglement in common structured reservoirs
• Operational Significance of Discord Consumption: Theory and Experiment
• Low-frequency noise as a source of dephasing of a qubit
• Dephasing of a superconducting flux qubit
• Decoherence in qubits due to low-frequency noise
• Entanglement oscillations in non-Markovian quantum channels
• Frozen discord in non-Markovian dephasing channels
• Dynamics of entropic measurement-induced nonlocality in structured reservoirs
• Effects of classical environmental noise on entanglement and quantum discord
• Homodyne estimation of Gaussian quantum discord
• Optimal estimation of entanglement
• Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
• Entanglement dynamics in superconducting qubits affected by local bistable impurities
• Low-frequency Noise in Josephson Junctions for Superconducting Qubits
• Effect of Markov and Non-Markov Classical Noise on Entanglement Dynamics
• Decoherence of a qubit due to a quantum fluctuator or to a classical telegraph noise
• Quantum correlations in continuos-time quantum walks of two indistinguishable particles
• Hidden entanglement in the presence of random telegraph dephasing noise
• A measure of tripartite entanglement in bosonic and fermionic systems
• Carrier-carrier entanglement and transport resonances in semiconductor quantum dots
• Shor's quantum algorithm using electrons in semiconductor nanostructures
• On demand entanglement in double quantum dots via coherent carrier scattering
• Electron interference and entanglement in coupled 1D systems with noise

Cited by in corpus (44)

• Quantum discord and its allies: a review
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Robust quantum gates for singlet-triplet spin qubits using composite pulses
• Harnessing non-Markovian quantum memory by environmental coupling
• Non-Markovianity of colored noisy channels
• Quantum probes for the spectral properties of a classical environment
• Quantum probes for the cutoff frequency of Ohmic environments
• Distributed correlations and information flows within a hybrid multipartite quantum-classical system
• Characterization of classical Gaussian processes using quantum probes
• Entangled quantum probes for dynamical environmental noise
• Engineering decoherence for two-qubit systems interacting with a classical environment
• Spectroscopy of cross-correlations of environmental noises with two qubits
• Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks
• Enabling quantum non-Markovian dynamics by injection of classical colored noise
• Non-Markovian continuous-time quantum walks on lattices with dynamical noise
• Effects of classical fluctuating environments on decoherence and bipartite quantum correlations dynamics
• Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments
• Collapse and revival of quantum coherence for a harmonic oscillator interacting with a classical fluctuating environment
• Non-Markovianity and coherence of a moving qubit inside a leaky cavity
• Quantum spatial search on graphs subject to dynamical noise
• Effective dephasing for a qubit interacting with a transverse classical field
• Overview on the phenomenon of two-qubit entanglement revivals in classical environments
• Noisy quantum walks of two indistinguishable interacting particles
• The dynamics of two entangled qubits exposed to classical noise: role of spatial and temporal noise correlations
• Quantum state transfer via Bloch oscillations
• Time-evolution of entanglement and quantum discord of bipartite systems subject to 1/f^α noise
• Quantum correlations of identical particles subject to classical environmental noise
• Robust fermionic-mode entanglement of a nanoelectronic system in non-Markovian environments
• Effective description of the short-time dynamics in open quantum systems
• The relation between the quantum discord and quantum teleportation: the physical interpretation of the transition point between different quantum discord decay regimes
• Efficient quantum transport in a multi-site system combining classical noise and quantum baths
• Exact decoherence dynamics of $1/f$ noise
• Discord and entanglement in non-Markovian environments at finite temperature
• Non-Markovianity by undersampling in quantum optical simulators
• Data-pattern tomography of entangled states
• Noise induced Non-Markovianity
• Stochastic optimal control formalism for an open quantum system
• Non-Markovianity is not a resource for quantum spatial search on a star graph subject to generalized percolation
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• Quantum dynamics of a macroscopic magnet operating as environment of a mechanical oscillator
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Probing multipartite entanglement, coherence and quantum information preservation under classical Ornstein-Uhlenbeck noise
• Decoherence of Dirac-particle quantumness for fermionic fields in a dilatonic black hole
• Experimental realization of local-to-global noise transition in a two-qubit optical simulator