A PT-symmetric non-Hermitian free-fermion field theory realizes logarithmic conformal field theory with central charge c=-2 via a biorthogonal Virasoro algebra construction.
Information Retrieval and Criticality in Parity-Time-Symmetric Systems
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abstract
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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2026 2verdicts
UNVERDICTED 2representative citing papers
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 the Bloch sphere.
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Non-Hermitian free-fermion critical systems and logarithmic conformal field theory
A PT-symmetric non-Hermitian free-fermion field theory realizes logarithmic conformal field theory with central charge c=-2 via a biorthogonal Virasoro algebra construction.
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Trajectories of Critical Unstable Qubits in and on the Bloch Sphere
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 the Bloch sphere.