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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Second quantization of the Liouville equation produces a Heisenberg equation for ancillary operators that suffices for nonadiabatic generation of ultra-highly squeezed states in Hermitian and non-Hermitian quantum systems.
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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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From Liouville equation to universal quantum control: A study of generating ultra highly squeezed states
Second quantization of the Liouville equation produces a Heisenberg equation for ancillary operators that suffices for nonadiabatic generation of ultra-highly squeezed states in Hermitian and non-Hermitian quantum systems.