Entropy production in open quantum systems: exactly solvable qubit models

Abstract

We present analytical results for the time-dependent information entropy in exactly solvable two-state (qubit) models. The first model describes dephasing (decoherence) in a qubit coupled to a bath of harmonic oscillators. The entropy production for this model in the regimes of "complete" and "incomplete" decoherence is discussed. As another example, we consider the damped Jaynes-Cummings model describing a spontaneous decay of a two-level system into the field vacuum. It is shown that, for all strengths of coupling, the open system passes through the mixed state with the maximum information entropy.

9 pages, 3 figures

References in corpus (6)

• Quantum entanglement
• Decoherence, einselection, and the quantum origins of the classical
• Quantum Computers and Dissipation
• Maintaining coherence in Quantum Computers
• Stochastic wave function method for non-Markovian quantum master equations
• Decoherence in an exactly solvable qubit model with initial qubit-environment correlations

Cited by in corpus (9)

• Steady-state thermodynamics of non-interacting transport beyond weak coupling
• Decoherence control by quantum decoherence itself
• Relaxation Dynamics of Meso-Reservoirs
• Enhancement of coherence in qubits due to interaction with environment
• Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations
• Thermodynamics of the Coarse-Graining Master Equation
• Peculiarities of qubit initial-state preparation by nonselective measurements on an overcomplete basis
• Local and global approaches to the thermodynamics of pure decoherence processes in open quantum systems
• Symmetry examples in open quantum dynamics