Entanglement generation across exceptional points in two-qubit open quantum system -- the role of initial states
arXiv:2508.16101 · doi:10.1103/24cd-939t
Abstract
We study an open quantum system of two qubits that are coupled by swapping interaction. Using the coupling strength between the qubits as a time scale, the Liouvillian of the system has exceptional points that depend on the disparity between the decay rates of the qubits. We find that the configuration of the initial states plays an important role in deciding the character of the entanglement dynamics at the initial stage of evolution. Depending on whether or not the initial excitations of the qubits can be swapped by the interaction that couples them, a change in the total decay rate can be either consistently unfavorable to entanglement generation, or shift the dynamics from hindering to enhancing entanglement generation, or vice versa, as the system traverses the exceptional points. The shift could also occur in a wide range of mixed states. We clarify the origin of the behavior in this work.
arXiv commentTo appear in Phys. Rev. E
References in corpus (27)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Complex Extension of Quantum Mechanics
- Finite-Time Disentanglement via Spontaneous Emission
- The physics of exceptional points
- Topological energy transfer in an optomechanical system with exceptional points
- Dephasing assisted transport: Quantum networks and biomolecules
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Quantum state tomography across the exceptional point in a single dissipative qubit
- Observation of PT phase transition in a simple mechanical system
- Noise-assisted energy transfer in quantum networks and light-harvesting complexes
- Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
- Quantum jumps in the non-Hermitian dynamics of a superconducting qubit
- Coherence and Decoherence in Biological Systems: Principles of Noise Assisted Transport and the Origin of Long-lived Coherences
- A two-qubit engine fueled by entangling operations and local measurements
- Entanglement Evolution in a Non-Markovian Environment
- Decoherence Induced Exceptional Points in a Dissipative Superconducting Qubit
- Dynamical Control of Quantum Heat Engines Using Exceptional Points
- Quantum correlations and thermodynamic performances of two-qubit engines with local and collective baths
- Robustness of exceptional-point-based sensors against parametric noise: The role of Hamiltonian and Liouvillian degeneracies
- Exceptional points of the Lindblad operator of a two-level system
- Speeding up entanglement generation by proximity to higher-order exceptional points
- Exceptional entanglement phenomena: non-Hermiticity meeting non-classicality
- Gamow-Jordan Vectors and Non-Reducible Density Operators from Higher Order S-Matrix Poles
- Cubic singularities in binary linear electromechanical oscillators
- Chiral state transfer under dephasing
- Multitype entanglement dynamics induced by exceptional points