Damped oscillations of the energy of a bosonic bath due to spectral gaps and special initial correlations

Abstract

The energy of the bosonic bath and the flow of quantum information are analyzed over short and long times in local dephasing channels for special correlated or factorized initial conditions, respectively, which involve thermal states. The continuous distribution of frequency modes of the bosonic bath exhibits a spectral gap over low frequencies. The bath energy shows oscillatory behaviors around the asymptotic value and information is alternatively lost and gained by the open system. Due to the low-frequency gap, the damped oscillations become regular over long times and the frequency of the oscillations coincides with the upper cut-off frequency of the spectral gap. Sequences of long-time intervals are obtained over which the bath energy increases (decreases), for the correlated initial conditions, and information is lost (gained) by the open system, for the factorized initial configurations, even at different temperatures. Such long-time correspondence between the variations of the bath energy and of the information is reversed if compared to the one obtained without the low-frequency gap. The correspondence fails if the spectral density is tailored according to power laws with odd natural powers near the upper cut-off frequency of the spectral gap.

arXiv commentarXiv admin note: text overlap with arXiv:1706.01163

References in corpus (26)

• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Quantum Computers and Dissipation
• Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
• Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
• Qubit Disentanglement and Decoherence via Dephasing
• Decoherence of quantum registers
• Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
• Comparative study of non-Markovianity measures in exactly solvable one and two qubit models
• Pseudomodes as an effective description of memory: Non-Markovian dynamics of two-state systems in structured reservoirs
• Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
• Decoherence and Initial Correlations in Quantum Brownian Motion
• Decoherence in an exactly solvable qubit model with initial qubit-environment correlations
• An effective method of calculating the non-Markovianity $\mathcal{N}$ for single channel open systems
• Energy backflow and non-Markovian dynamics
• Dynamical decoupling efficiency versus quantum non-Markovianity
• Classical Simulation of Quantum Noise
• Probing the degree of non-Markovianity for independent and common environments
• On the spectral origin of non-Markovianity: an exact finite model
• Dynamical error bounds for continuum discretisation via Gauss quadrature rules, -- a Lieb-Robinson bound approach
• Entanglement trapping in a non-stationary structured reservoir
• Energy backflow in strongly coupled non-Markovian continuous-variables systems
• Enhancement of coherence in qubits due to interaction with environment
• Regular patterns in the information flow of local dephasing channels
• Bath energy for correlated initial states versus information flow in local dephasing channels