Entanglement generation between a charge qubit and its bosonic environment during pure dephasing - dependence on environment size

Abstract

We study entanglement generated between a charge qubit and a bosonic bath due to their joint evolution which leads to pure dephasing of the qubit. We tune the parameters of the interaction, so that the decoherence is quantitatively independent of the number of bosonic modes taken into account and investigate, how the entanglement generated depends on the size of the environment. A second parameter of interest is the mixedness of the initial state of the environment which is controlled by temperature. We show analytically that for a pure initial state of the environment, entanglement does not depend on environment size. For mixed initial states of the environment, the generated entanglement decreases with the increase of environment size. This effect is stronger for larger temperatures, when the environment is initially more mixed, but in the limit of an infinitely large environment, no entanglement is created at any finite temperature.

10 pages, 5 figures

References in corpus (9)

• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Multiqubit Spectroscopy of Gaussian Quantum Noise
• Introduction to decoherence theory
• Non-Markovian random unitary qubit dynamics
• Theory of fast optical spin rotation in a quantum dot based on geometric phases and trapped states
• Quantum Decoherence of Two Qubits
• "Which path" decoherence in quantum dot experiments

Cited by in corpus (11)

• A scheme for direct detection of qubit-environment entanglement generated during qubit pure dephasing
• Equivalence of qubit-environment entanglement and discord generation via pure dephasing interactions and the consequences thereof
• Criteria for system-environment entanglement generation for systems of any size in pure-dephasing evolutions
• How to detect qubit-environment entanglement generated during qubit dephasing
• A measure of qubit environment entanglement for pure dephasing evolutions
• Transfer and teleportation of system-environment entanglement
• Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Qubit-environment entanglement in time-dependent pure dephasing
• Perturbation theory under the truncated Wigner approximation reveals how system-environment entanglement formation drives quantum decoherence
• A signature of quantumness in pure decoherence control