Rise and fall of entanglement between two qubits in a non-Markovian bath
arXiv:2303.13301 · doi:10.1103/PhysRevA.108.032205
Abstract
We analyse the dynamics of quantum correlations between two qubits coupled to a linear chain of oscillators. The chain mediates interactions between the qubits and acts as a non-Markovian reservoir. The the model is amenable to an analytical solution when the initial state of the chain is Gaussian}. We study the dynamics of the qubits concurrence starting from a separable state and assuming that the chain spectrum is gapped {and the chain is initially in a thermal state. We identify three relevant regimes that depend on the strength of the qubit-chain coupling in relation to the spectral gap. These are (i) the weak coupling regime, where the qubits are entangled at the asymptotics; (ii) the strong coupling regime, where the concurrence can exhibit collapses followed by revivals with exponentially attenuated amplitude; and (iii) the thermal damping regime, where the concurrence rapidly vanishes due to the chain's thermal excitations. In all cases, if entanglement is generated, this occurs after a finite time has elapsed. This time scale depends exponentially on the qubits distance and is determined by the spectral properties of the chain. Entanglement irreversible decay, on the other hand, is due to the dissipative effect induced by the coupling with the chain and is controlled by the coupling strength between the chain and qubits. This study unravels the basic mechanisms leading to entanglement in a non-Markovian bath and allows to identify the key resources for realising quantum coherent dynamics of open systems.
arXiv commentTo appear in Phys. Rev. A
References in corpus (47)
- Quantum entanglement
- Quantum Computing in the NISQ era and beyond
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Entanglement entropy and conformal field theory
- Non-Markovian dynamics in open quantum systems
- Optomechanical Crystals
- Entanglement and non-Markovianity of quantum evolutions
- Preparation of Entangled States by Quantum Markov Processes
- Quantum Darwinism
- Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
- Cavity Loss Induced Generation of Entangled Atoms
- Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
- Efficient simulation of strong system-environment interactions
- Creation of Entanglement by Interaction with a Common Heat Bath
- Measures and dynamics of entangled states
- Environment Induced Entanglement in Markovian Dissipative Dynamics
- Non-stationary coherent quantum many-body dynamics through dissipation
- Quantum many-body dynamics in optomechanical arrays
- Long-distance entanglement in spin systems
- A Factorization Law for Entanglement Decay
- Generation of EPR-entangled radiation through an atomic reservoir
- Universality of Decoherence
- High efficiency transfer of quantum information and multi-particle entanglement generation in translation invariant quantum chains
- Bounds on Information Propagation in Disordered Quantum Spin Chains
- Bose-Einstein Condensation and strong-correlation behavior of phonons in ion traps
- Entanglement Evolution in a Non-Markovian Environment
- Measurement-induced steering of quantum systems
- Hierarchy of linear light cones with long-range interactions
- Engineering Atomic Quantum Reservoirs for Photons
- Long-distance entanglement in many-body atomic and optical systems
- Manipulating the quantum information of the radial modes of trapped ions: Linear phononics, entanglement generation, quantum state transmission and non-locality tests
- Entangling two distant oscillators with a quantum reservoir
- A Separation of Out-of-time-ordered Correlation and Entanglement
- Asymptotics of quantum channels: conserved quantities, an adiabatic limit, and matrix product states
- Bath-induced collective phenomena on superconducting qubits: synchronization, subradiance, and entanglement generation
- Approximating open quantum system dynamics in a controlled and efficient way: A microscopic approach to decoherence
- Coupled Harmonic Systems as Quantum Buses in Thermal Environments
- Entangling two defects via a surrounding crystal
- Reservoir-engineering shortcuts to adiabaticity
- Transport of Correlations in a Harmonic Chain
- Statistical mechanics of entanglement mediated by a thermal reservoir I
- Quantum reservoirs with ion chains
- Master equation for high-precision spectroscopy
- Master equation for multilevel interference in a superradiant medium
- Qubit Entanglement generation by Gaussian non-Markovian dynamics
- Spin entanglement via STM current
- Dynamics of entanglement creation between two spins coupled to a chain