A general control theory for non-Hermitian continuous-variable systems uses upper triangularization of the Hamiltonian matrix to define nonadiabatic passages that yield exact solutions and automatic probability conservation for perfect state transfers.
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Effective non-Hermitian systems with interactions are incompatible with direct inclusion of anti-Hermitian terms in Matsubara Green's functions and are instead described by pseudo-Hermitian quantum mechanics.
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Universal quantum control over non-Hermitian continuous-variable systems
A general control theory for non-Hermitian continuous-variable systems uses upper triangularization of the Hamiltonian matrix to define nonadiabatic passages that yield exact solutions and automatic probability conservation for perfect state transfers.
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Physical constraints on effective non-Hermitian systems
Effective non-Hermitian systems with interactions are incompatible with direct inclusion of anti-Hermitian terms in Matsubara Green's functions and are instead described by pseudo-Hermitian quantum mechanics.