Perfect State Transfer in PT-symmetric Non-Hermitian Networks

Abstract

We systematically study the parity- and time-reversal (PT) symmetric non-Hermitian version of a quantum network proposed in the paper of Christandl et al. [Phys. Rev. Lett. 92, 187902 (2004)]. The nature of this model shows that it is a paradigm to demonstrate the complex relationship between the pseudo-Hermitian Hamiltonian and its Hermitian counterpart as well as a candidate in the experimental realization to simulate PT-symmetry breaking. We also show that this model allows a conditional perfect state transfer within the unbroken PT-symmetry region but not an arbitrary one. This is due to the fact that the evolution operator at a certain period is equivalent to the PT operator for the real-valued wave function in the elaborate PT-symmetric Hilbert space.

7 pages, 3 figures

References in corpus (8)

• Coherent Perfect Absorbers: Time-reversed Lasers
• Visualization of Branch Points in PT-Symmetric Waveguides
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Delta-Function Potential with a Complex Coupling
• Degrees and signatures of broken PT-symmetry in (non-uniform) lattices
• Hermitian dynamics in a class of pseudo-Hermitian networks

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• Complex symmetric Hamiltonians and exceptional points of order four and five
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• PT-symmetric quantum graphs
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• Detecting exceptional points through dynamics in non-Hermitian systems
• Detection of unbroken phase of non-Hermitian system via Hermitian factorization surface
• Quantum mold casting for topological insulating and edge states
• Simulating non-Hermitian dynamics of a multi-spin quantum system and an emergent central spin model
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• Entanglement between uncoupled modes with time-dependent complex frequencies
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• Magnetization in a non-equilibrium quantum spin system
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect