Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations

Abstract

We study the bath dynamics in the dephasing model of a two-state quantum system (qubit) coupled to an environment of harmonic oscillators. This model was shown [Morozov et al., Phys. Rev. A, 2012, 85, 022101] to admit the analytic solution for the qubit and environment dynamics. Using this solution, we derive the exact expression for the bath reduced density matrix in the presence of initial qubit-environment correlations. We obtain the non-equilibrium phonon distribution function and discuss in detail the time behavior of the bath energy. It is shown that only the inclusion of dynamic correlations between the qubit and the bath ensures the proper time behavior of the quantity which may be interpreted as the "environment energy".

6 pages

References in corpus (4)

• Exact master equations for the non-Markovian decay of a qubit
• Initial correlations in open system's dynamics: The Jaynes-Cummings model
• Quantification of memory effects in the spin-boson model
• Entropy production in open quantum systems: exactly solvable qubit models

Cited by in corpus (5)

• Reduced dynamical maps in the presence of initial correlations
• Enhancement of coherence in qubits due to interaction with environment
• Peculiarities of qubit initial-state preparation by nonselective measurements on an overcomplete basis
• Bath energy for correlated initial states versus information flow in local dephasing channels
• Time evolution of quantum correlations in presence of state dependent bath