Resonance Theory of Decoherence and Thermalization
arXiv:quant-ph/0702207 · doi:10.1016/j.aop.2007.04.013
Abstract
We present a rigorous analysis of the phenomenon of decoherence for general level systems coupled to reservoirs. The latter are described by free massless bosonic fields. We apply our general results to the specific cases of the qubit and the quantum register. We compare our results with the explicitly solvable case of systems whose interaction with the environment does not allow for energy exchange (non-demolition, or energy conserving interactions). We suggest a new approach which applies to a wide variety of systems which are not explicitly solvable.
References in corpus (11)
- Decoherence, einselection, and the quantum origins of the classical
- Decoherence, the measurement problem, and interpretations of quantum mechanics
- Two-Bit Gates are Universal for Quantum Computation
- Quantum Computers and Dissipation
- Maintaining coherence in Quantum Computers
- Reducing decoherence in quantum computer memory with all quantum bits coupling to the same environment
- Adiabatic Decoherence
- Dissipative Transport: Thermal Contacts and Tunnelling Junctions
- Another Return of 'Return to Equilibrium'
- Survival of quantum effects for observables after decoherence
- Dynamics of Open Bosonic Quantum Systems in Coherent State Representation
Cited by in corpus (34)
- Strong Coupling Thermodynamics of Open Quantum Systems
- Open quantum system dynamics and the mean force Gibbs state
- Quantum Markovian master equations: resonance theory shows validity for all time scales
- Quantum probabilities of composite events in quantum measurements with multimode states
- Dynamics of Collective Decoherence and Thermalization
- Nonequilibrium representative ensembles for isolated quantum systems
- Equilibration of quasi-isolated quantum systems
- On the irreversible dynamics emerging from quantum resonances
- Decoherence and equilibration under nondestructive measurements
- Ergodicity of the Spin-Boson Model for arbitrary coupling strength
- Microscopic Work Distribution of Small System in Quantum Isothermal Process
- Repeated and continuous interactions in open quantum systems
- Application of Resonance Perturbation Theory to Dynamics of Magnetization in Spin Systems Interacting with Local and Collective Bosonic Reservoirs
- Completely positive dynamical semigroups and quantum resonance theory
- Adiabatic transitions in a two-level system coupled to a free Boson reservoir
- Entanglement Evolution via Quantum Resonances
- Suppression of Decoherence by Periodic Forcing
- Open-system eigenstate thermalization in a noninteracting integrable model
- Existence of Resonances for the Spin-Boson-Model with Critical Coupling Function
- Characterization of the Quasi-Stationary State of an Impurity Driven by Monochromatic Light I - The Effective Theory
- Production of Entanglement Entropy by Decoherence
- Overlapping Resonances in Open Quantum Systems
- A resonance theory for open quantum systems with time-dependent dynamics
- Indirect Measurements of a Harmonic Oscillator
- Representations of canonical commutation relations describing infinite coherent states
- Equivalence between the second order steady state for the spin-Boson model and its quantum mean force Gibbs state
- Ultrastrong coupling, nonselective measurement and quantum Zeno dynamics
- Quantum Electron Transport in Degenerate Donor-Acceptor Systems
- Disjointness of inertial KMS states and the role of Lorentz symmetry in thermalization
- Effective density of states for a quantum oscillator coupled to a photon field
- A rigorous derivation of the transition rate for the dissipative two-state system
- Dynamics of a Chlorophyll Dimer in Collective and Local Thermal Environments
- Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits
- Creation of Two-Particle Entanglement in Open Macroscopic Quantum Systems