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Information Retrieval and Criticality in Parity-Time-Symmetric Systems

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arxiv 1705.04628 v3 pith:JXTMTJIX submitted 2017-05-12 quant-ph cond-mat.stat-mechmath-phmath.MPphysics.optics

Information Retrieval and Criticality in Parity-Time-Symmetric Systems

classification quant-ph cond-mat.stat-mechmath-phmath.MPphysics.optics
keywords informationretrievalsystemcriticalityenvironmentflowphaseachieved
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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By investigating information flow between a general parity-time (PT) -symmetric non-Hermitian system and an environment, we find that the complete information retrieval from the environment can be achieved in the PT-unbroken phase, whereas no information can be retrieved in the PT-broken phase. The PT-transition point thus marks the reversible-irreversible criticality of information flow, around which many physical quantities such as the recurrence time and the distinguishability between quantum states exhibit power-law behavior. Moreover, by embedding a PT-symmetric system into a larger Hilbert space so that the entire system obeys unitary dynamics, we reveal that behind the information retrieval lies a hidden entangled partner protected by PT symmetry. Possible experimental situations are also discussed.

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Cited by 2 Pith papers

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  1. Non-Hermitian free-fermion critical systems and logarithmic conformal field theory

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  2. Trajectories of Critical Unstable Qubits in and on the Bloch Sphere

    quant-ph 2026-05 unverdicted novelty 6.0

    Critical unstable qubits exhibit indefinite anharmonic oscillations and coherence-decoherence cycles in a co-decaying frame, with first-time explicit geometric constructions for pure and mixed state trajectories on th...