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PT-symmetric quantum Liouvillian dynamics
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PT-symmetric quantum Liouvillian dynamics
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We discuss a combination of unitary and anti-unitary symmetry of quantum Liouvillian dynamics, in the context of open quantum systems, which implies a D2 symmetry of the complex Liovillean spectrum. For sufficiently weak system-bath coupling it implies a uniform decay rate for all coherences, i.e. off-diagonal elements of the system's density matrix taken in the eigenbasis of the Hamiltonian. As an example we discuss symmetrically boundary driven open XXZ spin 1/2 chains.
Forward citations
Cited by 2 Pith papers
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Kubo-Martin-Schwinger conditions for non-Hermitian systems
Positivity of the biorthogonal Gibbs functional characterizes quasi-Hermiticity for diagonalisable non-Hermitian operators with real spectra, and the resulting state satisfies the three analytic KMS conditions.
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Kubo-Martin-Schwinger conditions for non-Hermitian systems
For any diagonalisable non-Hermitian H with real spectrum, the biorthogonal Gibbs functional satisfies positivity of ω_bi(A†A) for all A if and only if H is quasi-Hermitian.
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