Gaussian Decoherence from Random Spin Environments

Abstract

We examine an exactly solvable model of decoherence - a spin-system interacting with a collection of environment spins. We show that in this model (introduced some time ago to illustrate environment-induced superselection) generic assumptions about the coupling strengths lead to a universal (Gaussian) suppression of coherence between pointer states. We explore the regimes of validity of these results and discuss their relation to the spectral features of the environment and to the Loschmidt echo (or fidelity). Finally, we comment on the observation of such time dependence in spin echo experiments.

Many changes in the manuscript to improve readability, some typos corrected

References in corpus (6)

• Objective properties from subjective quantum states: Environment as a witness
• Decoherence and the Loschmidt echo
• Universality of the Lyapunov regime for the Loschmidt echo
• Entanglement Sharing and Decoherence in the Spin-Bath
• Short-Time Decoherence for General System-Environment Interactions
• Self-induced decoherence approach: Strong limitations on its validity in a simple spin bath model and on its general physical relevance

Cited by in corpus (130)

• Quantum Decoherence
• Quenching Spin Decoherence in Diamond through Spin Bath Polarization
• Decoherence induced by interacting quantum spin baths
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Disentanglement in a quantum critical environment
• Environment as a Witness: Selective Proliferation of Information and Emergence of Objectivity in a Quantum Universe
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
• Universal decoherence induced by an environmental quantum phase transition
• Decay of Rabi oscillations by dipolar-coupled dynamical spin environments
• Coherent and dissipative dynamics at quantum phase transitions
• Critical dynamics of decoherence
• Probing many-body dynamics in a two dimensional dipolar spin ensemble
• The Rise and Fall of Redundancy in Decoherence and Quantum Darwinism
• Disentanglement of two qubits coupled to an XY spin chain: Role of quantum phase transition
• Non-Gaussian correlations imprinted by local dephasing in fermionic wires
• Sensitivity of quantum information to environment perturbations measured with a non-local out-of-time-order correlation function
• Decoherence effects on the quantum spin channels
• Reduced density matrix for nonequilibrium steady states: A modified Redfield solution approach
• A photonic Carnot engine powered by a quantum spin-star network
• Roads to objectivity: Quantum Darwinism, Spectrum Broadcast Structures, and Strong quantum Darwinism -- a review
• Quantum non-Markovian processes break conditional past-future independence
• Induced decoherence and entanglement by interacting quantum spin baths
• Operator fidelity susceptibility, decoherence and quantum criticality
• Spin-noise in the anisotropic central spin model
• Decoherence induced by a dynamic spin environment (I): The universal regime
• Bang-Bang control of a qubit coupled to a quantum critical spin bath
• Monitoring of the process of system information broadcasting in time
• Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
• Coherence of a driven electron spin qubit actively decoupled from quasi-static noise
• Suppression of decoherence in a generalization of the spin-bath model
• Decoherence and entanglement in a bosonic Josephson junction: Bose-enhanced quantum-Zeno control of phase-diffusion
• Dependence of decoherence-assisted classicality on the ways a system is partitioned into subsystems
• Disentanglement dynamics of interacting two qubits and two qutrits in an XY spin-chain environment with the Dzyaloshinsky-Moriya interaction
• Decoherence by engineered quantum baths
• Amplification, Decoherence, and the Acquisition of Information by Spin Environments
• Conditional past-future correlation induced by non-Markovian dephasing reservoirs
• Entanglement-induced Decoherence and Energy Eigenstates
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Dynamics of decoherence: universal scaling of the decoherence factor
• Competition between memory-keeping and memory-erasing decoherence channels
• Exact Non-Markovian Master Equation and Dispersive Probing of Non-Markovian Process
• Rabi oscillations, decoherence, and disentanglement in a qubit-spin-bath system: exact dynamics
• The dynamics of two entangled qubits exposed to classical noise: role of spatial and temporal noise correlations
• Typicality in Ensembles of Quantum States: Monte Carlo Sampling versus Analytical Approximations
• A necessary condition for the thermalization of a quantum system coupled to a quantum bath
• Evolution of a quantum spin system to its ground state: Role of entanglement and interaction symmetry
• Ten reasons why a thermalized system cannot be described by a many-particle wave function
• Quantum Darwinism and non-Markovianity in a model of quantum harmonic oscillators
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Entanglement and decoherence: fragile and robust entanglement
• System information propagation for spin structures
• Spin Bath Decoherence of Quantum Entanglement
• Vanishing environment-induced decoherence
• Optimal energy storage and collective charging speedup in the central-spin quantum battery
• Decoherence of a single spin coupled to an interacting spin bath
• Dynamics of finite dimensional non-hermitian systems with indefinite metric
• Objectivisation In Simplified Quantum Brownian Motion Models
• Decoherence dynamics of qubits coupled to systems at quantum transitions
• The entanglement dynamics of interacting qubits embedded in a spin environment with Dzyaloshinsky-Moriya term
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Effect of initial system-environment correlations with spin environments
• Controlled dynamics of qubits in the presence of decoherence
• Decoherence in time evolution of bound entanglement
• Analytical studies of Spectrum Broadcast Structures in Quantum Brownian Motion
• The relation between the quantum discord and quantum teleportation: the physical interpretation of the transition point between different quantum discord decay regimes
• Exact dynamics of the homogeneous two-qubit $XXZ$ central spin model with the spin bath prepared in superpositions of symmetric Dicke states
• High-dimensional quantum state transfer in a noisy network environment
• Decoherence factor as a convolution: an interplay between a Gaussian and an exponential coherence loss
• Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain
• Fractal Fidelity as a signature of Quantum Chaos
• Probing Anderson Localization using the Dynamics of a Qubit
• Open quantum dynamics theory for a complex subenvironment system with a quantum thermostat: Application to a spin heat bath
• Decoherence and pointer states in small antiferromagnets: A benchmark test
• Dynamics of Open Bosonic Quantum Systems in Coherent State Representation
• Universal quantum computation with symmetric qubit clusters coupled to an environment
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Appearance of objectivity for NV centers interacting with dynamically polarized nuclear environment
• Pure quantum interpretations are not viable
• Geometric phase corrected by initial system-environment correlations
• Dynamics of a driven spin coupled to an antiferromagnetic spin bath
• Continuous dynamical decoupling of spin chains: modulating the spin-environment and spin-spin interactions
• Entanglement loss in molecular quantum-dot qubits due to interaction with the environment
• Single spin probe of Many-Body Localization
• Decoherence of Bell states by local interactions with a suddenly quenched spin environment
• Loschmidt echo driven by hyperfine and electric-quadrupole interactions in nanoscale nuclear spin baths
• Dynamics of decoherence in a noisy driven environment
• Decoherence and energy flow in the sunburst quantum Ising model
• Adapted Caldeira-Leggett Model
• Decoherence dynamics in molecular qubits: Exponential, Gaussian and beyond
• The paleoclassical interpretation of quantum theory
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• Spin bath dynamics and dynamical Renormalization Group
• Boson-boson pure-dephasing model with non-Markovian properties
• Decoherence and the ultraviolet cutoff: non-Markovian dynamics of a charged particle in a magnetic field
• Equilibration and "Thermalization'' in the Adapted Caldeira-Leggett model
• Effect of quantum coherence on Landauer's principle
• Two destructive effects of decoherence on Bell inequality violation
• Protective measurement of open quantum systems
• Quantum Chaos and Quantum Randomness - Paradigms of Entropy Production on the Smallest Scales
• Decoherence of a quantum gyroscope
• Quantum Decoherence Modulated by Special Relativity
• Purity sieve for models with factorizable interactions
• How decoherence affects the security of BB84 quantum key distribution protocol
• Spin Bath Decoherence Mediated by Phonons
• Dissipative evolution of a two-level system through a geometry-based classical mapping
• Relaxation of antiferromagnetic order and growth of Rényi entropy in a generalized Heisenberg star
• Quantum decoherence in a pragmatist view: Resolving the measurement problem
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Measurement and Quantum Dynamics in the Minimal Modal Interpretation of Quantum Theory
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Copycat process in the early stages of einselection
• Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects
• On the reliability and accessibility of quantum measurement apparatuses
• Intuitionistic interpretation of quantum mechanics
• The role of positronium decoherence in the studies of positron annihilation in matter
• Decoherence suppression via environment preparation
• Decoherence of a quantum memory coupled to a collective spin bath
• Quantum decoherence in a pragmatist view: Part I
• A note on Decoherence and Fractal Hamiltonians
• The Model of Quantum Thermodynamics From the First Principles: Quantum Halo or Small Environment
• Decoherence and objectivity in higher spin environments
• Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model
• Generation of concurrence in a generalized central spin model with a three-spin interacting environment
• Unique entanglement time evolution of two-qubit product separable and extended Werner-like states in a discrete qubit environment
• A symmetry problem in the Copenhagen interpretation
• The quantum Zeno and anti-Zeno effects with non-selective measurements
• Quantum teleportation by utilizing helical spin chains for sharing entanglement
• A master equation incorporating the system-environment correlations present in the joint equilibrium state