Complex Spectrum of a Spontaneously Unbroken PT Symmetric Hamiltonian
classification
🪐 quant-ph
keywords
hamiltonianspectrumcomplexspontaneouslysymmetryunbrokenbelievedbroken
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It is believed that unbroken PT symmetry is sufficient to guarantee that the spectrum of a non-Hermitian Hamiltonian is real. We prove that this is not true. We study a Hamiltonian with complex spectrum for which PT symmetry is not spontaneously broken.
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