Decoherence and Initial Correlations in Quantum Brownian Motion
arXiv:quant-ph/9612036 · doi:10.1103/PhysRevA.55.4070
Abstract
We analyze the evolution of a quantum Brownian particle starting from an initial state that contains correlations between this system and its environment. Using a path integral approach, we obtain a master equation for the reduced density matrix of the system finding relatively simple expressions for its time dependent coefficients. We examine the evolution of delocalized initial states (Schrödinger's cats) investigating the effectiveness of the decoherence process. Analytic results are obtained for an ohmic environment (Drude's model) at zero temperature.
15 pages, RevTex, 5 figures included. Submitted to Phys. Rev. A
References in corpus (1)
Cited by in corpus (66)
- Decoherence, einselection, and the quantum origins of the classical
- Quantum limit of decoherence: Environment induced superselection of energy eigenstates
- Tunneling through molecules and quantum dots: master-equation approaches
- Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
- Stochastic Theory of Relativistic Particles Moving in a Quantum Field: II. Scalar Abraham-Lorentz-Dirac-Langevin Equation, Radiation Reaction and Vacuum Fluctuations
- Open quantum system dynamics and the mean force Gibbs state
- Exact analytical solutions to the master equation of quantum Brownian motion for a general environment
- Dynamics of open quantum systems with initial system-reservoir correlations
- Dynamics and thermodynamics of linear quantum open systems
- Coarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology
- Decoherence in an exactly solvable qubit model with initial qubit-environment correlations
- Exact Diagonalization of Two Quantum Models for the Damped Harmonic Oscillator
- Decoherence, irreversibility and the selection by decoherence of quantum states with definite probabilities
- Kraus representation in the presence of initial correlations
- Quantum thermodynamics from the nonequilibrium dynamics of open systems: energy, heat capacity and the third law
- Uniformly Accelerated Charge in a Quantum Field: From Radiation Reaction to Unruh Effect
- Amplification and suppression of system-bath correlation effects in an open many-body system
- Decoherence induced by zero point fluctuations in quantum Brownian motion
- Role of initial system-environment correlations: A master equation approach
- Nonequilibrium Atom-Dielectric Forces Mediated by a Quantum Field
- Misbelief and misunderstandings on the non--Markovian dynamics of a damped harmonic oscillator
- Decoherence scenarios from micro- to macroscopic superpositions
- Preservation Macroscopic Entanglement of Optomechanical Systems in non-Markovian Environment
- Nonequilibrium Steady State in Open Quantum Systems: Influence Action, Stochastic Equation and Power Balance
- Self-Force with a Stochastic Component from Radiation Reaction of a Scalar Charge Moving in Curved Spacetime
- Environment-Induced Decoherence and the Transition From Quantum to Classical
- Non-Markovian master equation for a damped oscillator with time-varying parameters
- A tomographic approach to non-Markovian master equations
- Operator-sum representation of time-dependent density operators and its applications
- Qubit Decoherence and Non-Markovian Dynamics at Low Temperatures via an Effective Spin-Boson Model
- Decoherence, tunneling and noise-activation in a double-potential well at high and zero temperature
- Improving the estimation of environment parameters via initial probe-environment correlations
- Dissipative quantum oscillator with two competing heat baths
- Fundamental limits on anomalous energy flows in correlated quantum systems
- Reconstruction of time-dependent coefficients: a check of approximation schemes for non-Markovian convolutionless dissipative generators
- Effect of initial correlations on short-time decoherence
- Quantum interference induced by initial system-environment correlations
- Initial state preparation with dynamically generated system-environment correlations
- From quantum to classical instability in relativistic stars
- Non-Equilibrium Quantum Electrodynamics
- Effect of initial system-environment correlations with spin environments
- Decoherence in Quantum Mechanics
- Kraus representation for density operator of arbitrary open qubit system
- Damped harmonic oscillator: pure states of the bath and exact master equations
- Enhancement of coherence in qubits due to interaction with environment
- Quantum Structures of a Model-Universe: An Inconsistency with Everett Interpretation of Quantum Mechanics
- Range of applicability of the Hu-Paz-Zhang master equation
- Measured quantum probability distribution functions for Brownian motion
- Geometric phase corrected by initial system-environment correlations
- Instantaneous and dynamical decoherence
- Initial correlations effects on decoherence at zero temperature
- Decoherence and Loss of Entanglement in Acoustic Black Holes
- Dynamics of an Acoustic Black Hole as an Open Quantum System
- Loss of coherence and dressing in QED
- Detectors interacting through quantum fields: Non-Markovian effects, non-perturbative generation of correlations and apparent non-causality
- Oscillator model for dissipative QED in an inhomogeneous dielectric
- Decoherence of a quantum gyroscope
- Decoherence of Schrodinger cat states in a Luttinger liquid
- Bath energy for correlated initial states versus information flow in local dephasing channels
- Quantum Brownian representation for the quantum field modes
- Dephasing effects on quantum correlations and teleportation in presence of state dependent bath
- Damped oscillations of the energy of a bosonic bath due to spectral gaps and special initial correlations
- Adapted projection operator technique for the treatment of initial correlations
- A master equation incorporating the system-environment correlations present in the joint equilibrium state
- Time evolution of quantum correlations in presence of state dependent bath
- Over forty years of research towards the understanding of Quantum Brownian Motion -- the contributions of A. O. Caldeira