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.
Non-Hermitian case.— The Heisenberg equation ( 13) also applies to the non-Hermitian Hamiltonian, i.e., ˆH(t) ̸= ˆH †(t)
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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.